Marked Price, Discount and VAT

Marked Price, Discount and VAT

What are Marked Price, Discount, and VAT?

 


Marked Price

 

The price which is listed or printed on the item or article for sale is called the marked price or labeled price of the item. It is denoted by MP.


Discount

 

When a shopkeeper reduces a certain amount from the marked price of an article and sells it to the customers, the reduced amount is called a discount. Discount usually is given as a certain percent of the marked price.

 

Thus, 

Formula of Discount amount and Discount percent: (1) Discount amount = Discount percent of MP   (2) Discount percent = (Discount Amount)/MP  ×100%

  

Actual Selling Price (SP)

 

The price of goods after deducting the discount amount from the marked price (MP) is called the actual selling price or SP.

 

Thus, 

SP = MP – Discount amount



VAT (Value Added Tax)

 

VAT (Value Added Tax) is a government tax levied on the cost of certain goods or services. The VAT rate is usually in percent and is decided by the government. The rate of VAT varies from country to country and there are certain goods and services which are free from VAT. For example, educational items, social welfare services, etc. are VAT-free goods and services.

 

VAT is levied on actual selling price SP.

 

Thus, 

Formula of VAT amount and VAT percent: (1) VAT amount = VAT percent of SP   (2) VAT percent = (VAT Amount)/SP × 100%


SP with VAT

 

The final price of goods after deducting discount amount (which is SP) and adding the VAT amount is called SP with VAT.

 

Thus,

SP with VAT = SP + VAT amount


  

What about CP?


CP is the cost price of the item for the seller (shopkeeper). Then, the shopkeeper marked the price of that item higher than the cost price. So, CP always is less the MP. Therefore, by giving a discount also, a shopkeeper makes a profit in his business. 


Since VAT is the tax paid by the customer to the government. This amount is not calculated for profit or loss.

 

For more details on CP, SP, Profit and Loss and their formula, please go to the article - Profit and Loss!



Formula List 


Here is the list of all formulas on MP, Discount, SP, and VAT.

 

1. Discount Amount = Discount % of MP     2. Discount % = (Discount Amount)/MP  ×100%      3. SP = MP – Discount Amount     4. SP = (100 - d%)/(100 )  × MP     5. MP = 100/(100 - d% )  × SP     6. VAT amount = VAT percent of SP     7. VAT percent = (VAT Amount)/SP  ×100%     8. SP with VAT = SP + VAT amount     9. SP with VAT = (100 + v%)/(100 )  × SP     10. SP = 100/(100 + v% )  × SP with VAT     11. MP = (100 × 100)/((100 - d%)(100 + v%))  × SP with VAT     12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100)  × MP


Worked Out Examples

 

Example 1: The marked price of a book is Rs. 200. If a discount of 10% is offered. Find the selling price of the book.


Solution: 


Here,

MP = Rs. 200

Discount = 10%

SP = ?


We know,       

SP = MP – discount amount 	     = 200 – 10% of 200 	     = 200 – "10" /"100"  × 200 	     = 200 – 20 	     = Rs. 180

 The selling price of the book = Rs. 180.

 


Example 2: The marked price of a computer is Rs. 30000. If it is sold after 20% discount and then 30% VAT is levied on it. Find the price of the computer including VAT.


Solution: 


Here,

MP = Rs. 30000

Discount = 20%

VAT = 13%

SP with VAT = ?


We know,        

SP with VAT = "(100 – d%)(100 + v%)" /"100 × 100"  × MP 	     	          = "(100 – 20)(100 + 13)" /"100 × 100"  × 30000 	                      = "80 × 113" /"100 × 100"  × 30000 	     	           = Rs. 27120

The price of the computer including VAT = Rs. 27120.



Example 3: After allowing a 15% discount on the marked price of a radio, 13% VAT is levied, then the cost of the radio becomes Rs. 1997. Find the marked price of the radio.


Solution: 


Here,

SP with VAT = Rs. 1997

Discount = 15%

VAT = 13%

MP = ?


We know,      

MP = "100 × 100" /"(100 – d%)(100 + v%)"  × SP with VAT 	      = "100 × 100" /"(100 – 15)(100 + 13)"  × 1997 	      = "100 × 100" /"85 × 113"  × 1997 	       = Rs. 2080 (approx.)

The marked price of the radio = Rs. 2080.



Example 4: The marked price of an article is Rs. 5000. After allowing some percent of discount and adding 10% VAT, the article is sold for Rs. 4400. Find the discount percent.


Solution: 


Here,

MP = Rs. 5000

SP with VAT = Rs. 4400

VAT = 10%

Discount % = x% (let)


We know,

MP = "100 × 100" /"(100 – d%)(100 + v%)"  × SP with VAT i.e.  5000 = "100 × 100" /"(100 – x)(100 + 10)"  × 4400 or,   5000 = "100 × 100" /("100 – x" )" 110"  × 4400 or,   5 = "100 " /(("100 – x" ) ) × 4 or,   5(100 – x) = 400 or,   500 – 5x = 400 or,   – 5x = 400 – 500 or,   – 5x = – 100 or,    x = "100" /"5"  or,   x = 20

     Discount percent = 20%


 


Example 5: A machine is sold at Rs. 99000 after 10% discount and 10% VAT on the marked price. Find the discount amount and VAT amount.


Solution: 


Here,

SP with VAT = Rs. 99000

Discount = 10%

VAT = 10%

Discount Amount =?

VAT Amount = ?


We know, SP = "100" /"100 + v% "  × SP with VAT 	    = "100" /"100 + 10 "  × 99000 	    = "100" /"110 "  × 99000 	    = Rs. 90000 ∴   VAT Amount = SP with VAT – SP  		= Rs. 99000 – 90000  		= Rs. 9000 Again, 	MP = "100" /"100 – d% "  × SP 	     =  "100" /"100 – 10 "  × 90000 	     =  "100" /"90"  × 90000 	     = Rs. 100000 ∴   Discount Amount = MP – SP  		       = Rs. 100000 – 90000 		       = Rs. 10000

   The discount amount is Rs. 10000 and VAT amount is Rs. 9000.



Example 6: After allowing a 20% discount on the marked price and then levying 10% VAT, a radio was sold. If the buyer had paid Rs. 320 for VAT, how much was the discount?


Solution: 


Here,

Discount = 20%

VAT = 10%

VAT Amount = Rs. 320


We know, 


VAT Amount = VAT% of SP


∴   10% of SP = Rs. 320 or,	"10" /"100"  × SP = Rs. 320 or, 	SP = Rs. 320 × "100" /"10"  or, 	SP = Rs. 3200 Now, MP = "100" /"100 – d% "  × SP 	     = "100" /"100 – 20 "  × 3200 	     = "100" /"80 "  × 3200 	     = Rs. 4000 ∴   Discount Amount = MP – SP  		        = Rs. 4000 – 3200  		        = Rs. 800 Ans.

Rs. 800 was the discount amount.



Example 7: A shopkeeper allowed a 10% discount on a watch of marked price of Rs. 600. If he got 8% profit, find the cost price of the watch.


Solution: 


Here,

MP = Rs. 600

Discount = 10%

Profit = 8%

CP = ?


We know, 	SP = MP – discount amount 	     = 600 – 10% of 600 	     = 600 – "10" /"100"  × 600 	     = 600 – 60 	     = Rs. 540 Now, 	CP = "100" /"100 + P%"  × SP                  = "100" /"100 + 8"  × 540                  = "100" /"108"  × 540                  = Rs. 500

The cost price of the watch = Rs. 500.



Example 8: Davish sold a watch at a gain of 20% after allowing a discount of 15%. Had it been sold after allowing a 30% discount, there would have been a loss of Rs. 400. Find the marked price of the watch.


Solution: 


Here,

MP = Rs. x (let)


1st Case, Discount = 15% ∴   SP = MP – Discount % of MP 	         = x – 15% of x 	         = x – "15" /"100"  × x 	         = "85x" /"100"  Profit = 20% ∴   CP1 = "100" /"100 + P%"  × SP            = "100" /"100 + 20"  × "85x" /"100"             = "85x" /"120"             = "17x" /"24"   2nd Case, Discount = 30% ∴   SP = MP – Discount % of MP 	         = x – 30% of x 	         = x – "30" /"100"  × x 	         = "70x" /"100"  	         = "7x" /"10"  Loss = Rs. 400 ∴   CP2 = SP + Loss = "7x" /"10"  + 400  But, CP is same, ∴   CP1 = CP2 i.e.	"17x" /"24"  = "7x" /"10"  + 400 or,	"17x" /"24"  – "7x" /"10"  = 400 or,	"170x – 168x" /"240"  = 400  or,	"2x" /"240"  = 400 or, 	2x = 96000 or,	x = 48000

   The marked price of the watch is Rs. 48000


 

Example 9: When an article is sold at a discount of 10% on its marked price, a profit of Rs. 8 is earned by the seller. If the same article is sold without allowing a discount there will be a profit of Rs. 20. What should be the cost price of the article?


Solution: 


Here,

CP = Rs. x (let)


1st Case, Profit = Rs. 8 ∴   SP = CP + Profit 	         = x + 8 Discount = 10% ∴   MP = "100" /"100 – d% "  × SP 	         = "100" /"100 – 10 "  × (x + 8) 	         = "100(x + 8)" /"90 "    	         = "10x + 80" /"9 "  2nd Case, Discount = 0% (No discount) ∴  SP = MP = "100(x + 8)" /"90 "  Profit = Rs. 20 ∴  CP = SP – Profit i.e.	x = "10x + 80" /"9 "  – 20 or,	x = "10x + 80 – 180" /"9 "  or, 	9x = 10x – 100 or,	9x – 10x = – 100 or,	– x = – 100  or, 	x = 100

  Cost price should be Rs. 100



Example 10: The marked price of an article is 25% above the selling price and the cost price is 20% below the selling price. Find the rate of discount and the profit percentage.


Solution: 


Here,

SP = Rs. x (let)

Marked price is 25% above the selling price,


∴   MP = SP + 25% of SP 	= x + "25" /"100"  × x 	= "125x" /"100"  = "5x" /"4"  ∴   Discount amount = MP – SP = "5x" /"4"  – x = "x" /"4"  ∴   Discount % = "Discount amount" /"MP"  × 100% 		= "x/4" /"5x/4"  × 100% 		= "1" /"5"  × 100% 		= 20%

Again,

Cost price is 20% below the selling price,


∴   CP = SP – 20% of SP          = x – 20% of x          = x – "20" /"100"  × x 	= "80x" /"100"  = "4x" /"5"  ∴   Profit = SP – CP = x – "4x" /"5"  = "x" /"5"  ∴   Profit % = "Profit" /"CP"  × 100% 	= "x/5" /"4x/5"  × 100% 	= "1" /"4"  × 100% 	= 25%

   Discount = 20% and Profit = 25%.



Do you have any questions regarding marked price, discount and VAT?


You can ask your questions or problems here, in the comment section below.



Was this article helpful? LIKE and SHARE it with friends…

81 comments:

  1. The lebelled price of a radio is Rs 5210. If the shopkeeper allows 10% discount and adds 10 % VAT then,
    (i) How much will a customer pay for the radio
    (ii) Find the difference between marked price and selling price

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-OFNH4wAyeUI/YBANRVpvq_I/AAAAAAAAHaE/G_dqWX5adygxeMDgK3TYxIot-3upgCgbACLcBGAsYHQ/s598/comment%2B-%2Bsolution%2B1.png"/]

      Comment here, if you have more problems regarding marked price, discount and vat.

      Delete
  2. Reasonableness: While protection rates have expanded at twofold digit rates in the course of recent years, discount card suppliers have kept their rates for all intents and purposes unaltered. Coupons

    ReplyDelete
  3. the mp of a laptop is rs.75000. after allowing a certain percent of discount and including 15%VAT, the laptop is sold at rs.73312.5.calculate the discount percent and VAT amount

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-6GL598P5ZEM/YGXk2d9pkKI/AAAAAAAAIBQ/pQCjpL-oW14WbBHydF4iGblUFzhxiUe3wCLcBGAsYHQ/s16000/Comment%2BSolution%2B2.png"/]
      Comment here if you have more problems regarding marked price, discount and vat.

      Delete
  4. the marked price of an article is rs 10000 and the shopkeeper allows some percent discount and adding some percent vat which is 3% more than the discount percent. if the customer pays rs. 10170 for the article then find discount percent

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src=" https://1.bp.blogspot.com/-3jeSIOW6Juo/YHW7YahTdWI/AAAAAAAAIEg/JRuYw3UvG586bm6rLFCYK7IQSmr6cAcvQCLcBGAsYHQ/s16000/comment%2Bsolution%2B3.png "/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  5. A watch costs rs 8136 when it is 10% discouted and 13% of vat is added then find out discount and vat amount. By how much vat amount is more than the discount amount? Can u solve this one for me.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src=" https://1.bp.blogspot.com/-o5cLawp7J14/YIGHgzEo9WI/AAAAAAAAIJw/BdurmLPT_ZAwVv5w9vcSSUXlzBDRnuhWwCLcBGAsYHQ/s16000/comment%2Bsolution%2B4.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  6. After allowing 10% discount on the marked price of a cycle 13% vat was levied and sold it.If the differences between the selling price with vat and selling price after discount is rs 585,find the marked price of that cycle

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-zXxv542WyjM/YJkcba1J-mI/AAAAAAAAIh0/c7nPUr9UqXAUcB53Q0D_S4Nug4_19z_4QCLcBGAsYHQ/s16000/comment%2Bsolution%2B5.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  7. A shopkeeper selling an article at a discount of 20% loses Rs. 200. If he allows 10% discount he gains Rs. 150. Find MP and the cost price of the article.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src=" https://1.bp.blogspot.com/-5jZxNe_QBRo/YKSSf6neKNI/AAAAAAAAImA/0BZYnQ8VcTYgW8kAVeInGGfvMarrGGI9ACLcBGAsYHQ/s16000/comment%2Bsolution%2B6.png "/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  8. If M.P of an article is Rs.8000. And if discount rate and VAT rate are equal and the price with VAT is Rs.7,864.80 find discount rate

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src=" https://1.bp.blogspot.com/-63FWkSy9sSU/YLB90J4tOGI/AAAAAAAAIwY/ArgV9hOEtnQPB3RewG9szCvy0Ja3c0PmQCLcBGAsYHQ/s16000/comment%2Bsolution%2B7.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  9. If an article is sold at 25% discount,the profit is 10%.If the discount is 10% only,the profit is Rs.240, find the marked price of the article.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src=" https://1.bp.blogspot.com/-Ah7gE9ULSG8/YLiMfTNEcgI/AAAAAAAAI7A/LWsoMBLKXFQuU5AM6QabfTqWA913Vl_JgCLcBGAsYHQ/s16000/comment%2Bsolution%2B8.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  10. The price of a cycle after allowing 15% discount and 13% VAT is Rs.19,323. Find the amount of VAT levied and marked price.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-RqYVlYTpUqo/YNrPH5PkkaI/AAAAAAAAJV4/VRkNpOUiyk4fHc97YGDYnFoex9s3CEYjQCLcBGAsYHQ/s16000/comment%2Bsolution%2B9.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  11. A shopkeeper marked the price of a article a certain percent above the cost price and he allowed 16℅ discount to make 5℅ profit. If a customer paid Rs.9492 with 13℅ vat to buy the article. By what percent is the MP above the CP of an article.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-3cz330vNCpY/YNxPTLszucI/AAAAAAAAJWA/iW2n8PycpKYAyorsfpD5Q_L65b58m7AsgCLcBGAsYHQ/s16000/comment%2Bsolution%2B10.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  12. hi was just seeing if you minded a comment. i like your website and the thme you picked is super. I will be back. promo

    ReplyDelete
  13. Some truly nice and utilitarian info on this internet site , besides I think the layout holds wonderful features. BTC Analysis and News

    ReplyDelete
  14. 13% VAT is levied on a handicraft after 10% discount. If the VAT amount is Rs 910,
    then find the marked price and selling price of it with VAT.

    ReplyDelete
  15. Here is the solution to your problems,
    [image src="https://1.bp.blogspot.com/-3KGmtaZpZjo/YOAeBP1jmCI/AAAAAAAAJYE/kmV8uAbB-Cg9cK2k10sZTeiglPxYQQB3QCLcBGAsYHQ/s16000/comment%2Bsolution%2B11.png"/]
    Comment here if you have more problems regarding the marked price, discount and vat.

    ReplyDelete
  16. A shopkeeper has to pay 7% bonus for selling some goods if he paid rs 17500 bonus and then 13% vat what will be marked price and price including VAT

    ReplyDelete
    Replies
    1. Here is the solution to your problems,
      [image src="https://1.bp.blogspot.com/-TLUwt1qWCfA/YOQS5or01gI/AAAAAAAAJZs/_Zz4f8DwScsmRo7Ps785aUrEA0sXhxDIACLcBGAsYHQ/s16000/comment%2Bsolution%2B12.png"/]
      Comment here if you have more problems regarding the marked price, discount and vat.

      Delete
  17. Sonia sold a machine of price Rs150000 adding 13percent Vat to Binod. Binod sold it to Enjila by adding transportation cost Rs4000, profit Rs7000 and Rs1500 local tax. If Enjila has to pay 13percent vat, find Vat amount.

    ReplyDelete
    Replies
    1. Here is the solution to your problems,

      Solution: Here,
      Price of machine = Rs. 150000
      Price with transportation + profit + local tax,
      = Rs. 150000+4000+7000+1500
      = Rs. 162500
      VAT = 13%
      VAT amount = 13 % of Rs. 162500
      = 13/100 × 162500
      = Rs. 21125

      Delete
  18. A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT​

    ReplyDelete
    Replies
    1. Here is the solution to your problems,

      Solution: Here,
      Price of heater = Rs. 4200
      Price with transportation + profit + local tax,
      = Rs. 4200+250+15% of 4200+150
      = Rs. 4200+250+630+150
      = Rs. 5230
      VAT = 13%
      VAT amount = 13 % of Rs. 5230
      = 13/100 × 5230
      = Rs. 679.90
      Price with VAT to be paid by costumer,
      = Rs. 5230 + 679.90
      = Rs. 5909.90

      Delete
  19. Radha purchased item at 5% discount if discount amount is rs 74 at what price did she purchase the item

    ReplyDelete
    Replies
    1. Solution: Here,
      Discount = 5%

      Discount amount = Rs. 74
      i.e. 5% of MP = Rs. 74
      or, 5/100 × MP = Rs. 74
      or, 1/20 × MP = Rs. 74
      or, MP = Rs. 74 × 20
      or, MP = Rs. 1480

      Now, SP = MP – Discount amount
      = Rs. 1480 – 74
      = Rs. 1406 Ans.

      ∴ She purchased the item at Rs. 1406.

      Delete
  20. The marked price of an electric heater is Rs 3,000. What will be the price of the heater if 13 % VAT is levied after allowing 12 % discount on it?

    ReplyDelete
    Replies
    1. The solution to this question is similar to the worked-out example 2 above in the article.

      Delete
  21. The marked price of a calculator is Rs 1,800. The shopkeeper allows 10 % discount and still makes 8 % profit. At what price did the shopkeeper purchase
    the calculator?

    ReplyDelete
    Replies
    1. The solution to this question is similar to the worked-out example 7 above in the article.

      Delete
  22. The marked price of a woolen sweater is Rs 1,750. If the shopkeeper allows 20 % discount and makes a profit of Rs 150, at what price did he purchase the sweater?

    ReplyDelete
    Replies
    1. The solution to this question is similar to the worked-out example-7 above in the article.

      Use "CP = SP – profit" instead of the CP formula used in the solution of example7.

      Delete
  23. The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
    is sold by allowing 20 % discount, what will be the profit percent?

    ReplyDelete
    Replies
    1. Solution: Here,
      MP = Rs. 2800
      Discount = 20%

      SP = (100 – d%)/100 × MP
      = (100 – 20)/100 × 2800
      = 80 × 28
      = Rs. 2240

      MP is 40% above the CP
      i.e. CP + 40% of CP = MP
      or, CP + 40CP/100 = Rs. 2800
      or, CP(1 + 2/5) = Rs. 2800
      or, CP × 7/5 = Rs. 2800
      or, CP = Rs. 2800 × 5/7
      or, CP = Rs. 2000

      Profit = SP – CP = Rs. 2240 – 2000 = Rs. 240
      Profit% = Profit/CP × 100%
      = 240/2000 × 100%
      = 12% Ans.

      Delete
  24. A retailer bought a watch for Rs 2,500 and he labelled its price 20 % above the cost
    price. If he allows 10 % discount to a customer, find his profit percent.

    ReplyDelete
    Replies
    1. Solution: Here, CP = Rs. 2500

      MP = CP + 20% of CP
      = Rs. 2500 + 20/100 × 2500
      = Rs. 2500 + 500
      = Rs. 3000

      Discount = 10%

      SP = MP – 10% of MP
      = Rs. 3000 – 10/100 × 3000
      = Rs. 3000 – 300
      = Rs. 2700

      Profit = SP – CP = Rs. 2700 – 2500 = Rs. 200

      Profit% = Profit/CP × 100%
      = 200/2500 × 100%
      = 8% Ans.

      Delete
  25. Mr. Rai bought a radio for Rs 2,000 and fixed its price so that after giving 20 %
    discount he made 10 % profit. Find the fixed price of the radio.

    ReplyDelete
    Replies
    1. Solution: Here,
      Fixed Price = MP = ?
      CP = Rs. 2000
      Profit = 10%
      SP = (100 + P%)/100 × CP
      = (100+10)/100 × 2000
      = 110/100 × 2000
      = Rs. 2200

      Discount = 20%

      MP = 100/(100 – d%) × SP
      = 100/(100 – 20) × 2200
      = 100/80 × 2200
      = 2750

      ∴ Fixed Price = Rs. 2750

      Delete
  26. Mr. Jha purchased a bicycle costing Rs 5,600 from a dealer at 5 % discount and
    sold at a profit of 10 %. If he had sold it at 5 % discount, find its marked price.

    ReplyDelete
    Replies
    1. Solution: Here,
      CP = Rs. 5600 – 5% of 5600
      = Rs. 5600 – 280
      = Rs. 5320

      Profit = 10%

      SP = [(100 + P%)/100] × CP
      = [(100 + 5)/100] × 5320
      = [105/100] × 5320
      = Rs. 5586

      Discount = 5%

      MP = [100/(100 – d%)] × SP
      = [100/(100 – 5)] × 5586
      = [100/95] × 5586
      = Rs. 5880

      ∴ Marked price is Rs. 5880. Answer.

      Delete
  27. ) A trader marks the price of his/her goods 40 % above the cost price and allows
    20% discount. If his/her purchase price of an item is Rs 6,000, how much should
    a customer pay for it levying 13 % VAT?

    ReplyDelete
  28. The cost price of an electric fan is Rs 2,800. If the shopkeeper marks its price 30%
    above the cost price and sells it at 10 % discount, how much should a customer
    pay for it with 15 % VAT?

    ReplyDelete
  29. d) The marked price of an electric item is Rs 2,400 and the shopkeeper allows 20%
    discount. After levying VAT, if a customer pays Rs 2,208 for it, find the VAT
    percent.

    ReplyDelete
  30. ) The marked price of an article is Rs 4,500. After allowing some percent of discount
    and levying 10 % VAT it is sold at Rs 4,400, find the discount percent.

    ReplyDelete
  31. 8. a) A grocer fixed the price of his goods 25 % above the cost price. If he/she sold a box
    of noodles allowing 5 % discount, find his profit percent.

    b) Rabi Sahu fixed the marked price of his radio to make a profit of 30 %. Allowing
    15 % discount on the marked price, the radio was sold. What percent profit did he
    make?

    ReplyDelete
  32. c) The marked price of a watch is 30 % above the cost price. When it is sold allowing
    20 % discount on it, there is a gain of Rs 150. Find the marked price and the cost
    price of the watch.

    d) A trader fixed the price of cosmetic items 30 % above the cost price. When he/she
    sold an item at 25 % discount, there was a loss of Rs 15. Find the cost price and
    marked price of the item.

    ReplyDelete
  33. e) The selling price of an article is 20 % less than its marked price and the marked
    price is 30 % above the cost price. Find the profit percent.

    f) The marked price of a radio is 25 % above the selling price and the cost price is
    30 % less than its marked price. Find the discount percent and gain percent.

    ReplyDelete
  34. g) Mrs. Sharma fixed the price of a pen to make a profit of 10 %. But she sold it
    allowing a discount of Rs 7.50 and lost 5 %. At what price did she purchase the
    pen?

    ReplyDelete
  35. 9. a) When an article is sold at a discount of 10 %, a profit of Rs 8 is earned. If the same
    article is sold without allowing a discount, there will be a profit of Rs 20. Find the
    cost price of the article.

    b) A watch was sold on its marked price at a gain of 20 %. But allowing 5 % discount,
    there would have been a gain of Rs 140. Find the cost price of the watch.

    ReplyDelete
  36. c) A shopkeeper sold an article at 20 % discount and made a loss of Rs 90. If he had
    sold it at 5 % discount, he would have gained Rs 90. Find the cost price and the
    marked price of the article.

    d) An article, after allowing a discount of 20 % on its marked price, was sold at a gain
    of 20 %. Had it been sold after allowing 25 % discount, there would have been a
    gain of Rs 125. Find the marked price of the article.

    ReplyDelete
  37. 10. a) A bicycle is sold at Rs 9,040 after allowing 20 % discount and imposing 13 % VAT.
    Find the marked price of the bicycle.

    b) After allowing 15 % discount on the marked price of an article 13 % VAT was
    levied on the remaining amount, then the price of the article becomes Rs 13,447.
    Find the marked price of the article.

    ReplyDelete
  38. c) The marked price of an article is Rs 4,000. If the price of the article including
    13 % VAT is Rs 3,616, find the discount percent given in it.

    d) A colour TV is sold at Rs 20,700 after 10 % discount with 15 % VAT. Find the VAT
    amount.

    e) After allowing 10 % discount on the marked price of an article and then 15 %
    VAT is charged, its price becomes Rs 16,720. How much amount was given as
    discount?

    ReplyDelete
  39. 11. a) A shopkeeper purchased a bicycle for Rs 5,000 and marked its price a certain
    percent above the cost price. Then, he sold it at 10% discount. If a customer paid
    Rs 6,356.25 with 13% VAT to buy it, how many percent is the marked price above
    the cost price?

    b) The price of an article is fixed a certain percent above the cost price and sold it at
    5% discount. If the cost price of the article is Rs 16,000 and sold it for Rs 20,064
    with 10% VAT by how many percent is the marked price above the cost price?

    ReplyDelete
  40. 12. a) When an article was sold at a discount of 10%, a customer paid Rs 9,153 with
    13% VAT. If 8% profit was made in this transaction by how many percent was the
    marked price above the cost price?

    b) A retailer marked the price of a mobile a certain percent above the cost price. Then,
    he allowed 20% discount to make 12% profit. If the mobile was sold for Rs 5,062.40
    with 13% VAT, by what percent is the marked price above the cost price?

    ReplyDelete
  41. 13. a) After allowing 25 % discount on the marked price and then levying 10 % VAT, a
    cycle was sold. If the discount amount was Rs 750, how much VAT was levied on
    the price of the cycle?

    b) A tourist buys a Nepalese flag at a discount of 15 % but pays 10 % VAT. If he/she
    pays Rs 170 for VAT, calculate the discount amount.

    ReplyDelete
  42. c) A person buys an article at a discount of 13 % and pays 16 % VAT. If he/she pays
    Rs 261 for VAT, find the marked price of the article and also the amount paid by
    him/her to buy the article.

    d) After allowing 20% discount on the marked price of a mobile, 15% VAT was levied
    and sold it. If the difference between the selling price with VAT and selling price
    after discount is Rs 1,800, find the marked price of the mobile.

    ReplyDelete
  43. 14. a) In the peak season of winter days, a retailer marked the price of an electric heater
    as Rs 4000 and 10% discount was given to make 20% profit. But in the summer
    days she/he increased the discount percent to get only 12% profit from the same
    type of heater. How much did she/he increase the discount percent?

    b) The marked price of a mobile set is Rs 9,600 and 40% discount is allowed to make
    20% profit. By what percent is the discount to be reduced to increase the profit by
    10%?

    ReplyDelete
  44. 15. a) discount to make 20% profit. If she/he increased the discount to 25%, by how
    much was the profit percent decreased?
    A retailer allowed 4% discount on her/his goods to make 20% profit and sold
    a refrigerator for Rs 10,848 with 13% VAT. By how much is the discount to be
    increased so that she/he can gain only 15%?

    b) A supplier sold a scanner machine for Rs 41,400 with 15% VAT after allowing
    10% discount on it's marked price and gained 20%. By how much is the discount
    percent to be reduced to increase the profit by 4%?

    ReplyDelete
    Replies
    1. Please send this solution

      Delete
    2. Question:
      A retailer allowed 4% discount on her/his goods to make 20% profit and sold
      a refrigerator for Rs 10,848 with 13% VAT. By how much is the discount to be
      increased so that she/he can gain only 15%?

      Solution: Here,
      Discount = 4%
      VAT = 13%
      SP with VAT = Rs. 10848
      MP = [100×100/(100-d%)(100+v%)]×SP with VAT
      = [100×100/(100-4)(100+13)]×10848
      = [100×100/96×113]×10848
      = Rs. 10000

      SP = [(100-d%)/100]×MP
      = [(100-4)/100]×10000
      = [96/100]×10000
      = Rs. 9600

      Now,
      1st Case,
      Profit = 20%
      CP = [100/(100+P%)]×SP
      = [100/(100+20)]×9600
      = [100/120)]×9600
      = Rs. 8000

      2nd Case,
      Profit = 15%
      SP = [(100+P%)/100]×CP
      = [(100+15)/100]×8000
      = [115/100]×8000
      =Rs. 9200

      Discount = MP – SP = 10000 – 9200 = Rs. 800

      Discount% = [Discount/MP] × 100%
      = [800/10000]× 100%
      = 8%

      ∴ Discount should be increased to 8%. Ans.


      Question:
      A supplier sold a scanner machine for Rs 41,400 with 15% VAT after allowing
      10% discount on it's marked price and gained 20%. By how much is the discount
      percent to be reduced to increase the profit by 4%?

      Solution: Here,
      Discount = 10%
      VAT = 15%
      SP with VAT = Rs. 41400
      MP = [100×100/(100-d%)(100+v%)]×SP with VAT
      = [100×100/(100-10)(100+15)]×41400
      = [100×100/90×115]×41400
      = Rs. 40000

      SP = [(100-d%)/100]×MP
      = [(100-10)/100]×40000
      = [90/100]×40000
      = Rs. 36000

      Now,
      1st Case,
      Profit = 20%
      CP = [100/(100+P%)]×SP
      = [100/(100+20)]×36000
      = [100/120)]×36000
      = Rs. 30000

      2nd Case,
      Profit = 20+4% = 24%
      SP = [(100+P%)/100]×CP
      = [(100+24)/100]×30000
      = [124/100]×30000
      =Rs. 37200

      Discount = MP – SP = 40000 – 37200 = Rs. 2800

      Discount% = [Discount/MP] × 100%
      = [2800/40000]× 100%
      = 7%

      ∴ Discount should be reduced by (10 – 7)% = 3%. Ans.

      Delete
  45. 16. a) Mrs. Dhital makes a profit of 50% of the cost of her investment in the transaction
    of her cosmetic items. She further increases her cost of investment by 25% but the
    selling price remains the same. How much is the decrease in her profit percent?

    b) Mr. Yadav makes a profit of 20% in the transaction of his electrical items. He
    decreases his cost of investment by 4% but the selling price remains the same.
    How much is the increase in his profit percent?

    ReplyDelete
  46. c) A customer goes to a shop to buy a laptop. The marked price of the laptop is
    Rs 57,500 excluding 15% VAT. The customer bargains with shopkeeper and
    convince him for Rs 57,500 including VAT as the final cost of the laptop. Find the
    amount reduced by the shopkeeper.

    d) A retailer hired a room in a shopping mall at Rs 45,000 rent per month and started
    a business of garments. He spent Rs 20,00,000 to purchase different garment
    items in the first phase and marked the price of each item 30% above the cost
    price. Then, he allowed 10% discount on each item and sold to customers. His
    monthly miscellaneous expenditure was Rs 15,000 and the items of worth 10%
    of the investment remained as stocks after two months. Find his net profit or loss
    percent.

    ReplyDelete
  47. the marked price of t.v is Rs 10000.if the VAT amouny is 90% of discount amount and the price with VAT is Rs9900, find the discount amount?

    ReplyDelete
    Replies
    1. Solution: Here,
      MP = Rs. 10000
      SP with VAT = Rs. 9900
      Discount amount = x (let)

      ∴ VAT amount = 90% of x = 9x/10

      We know,
      MP – Discount amount + VAT amount = SP with VAT
      i.e. 10000 – x + 9x/10 = 9900
      or, – x + 9x/10 = 9900 – 10000
      or, – x/10 = – 100
      or, x = 1000

      ∴ Discount amount = Rs. 1000 Ans.

      Delete
  48. Amit bought a smart watch for Rs 23,391. If he gets 10% discount on amount Rs 2300.find the rate of vat

    ReplyDelete
    Replies
    1. Solution: Here,
      SP with VAT = Rs. 23391
      Discount = 10%
      Discount amount = Rs. 2300

      ∴ 10% of MP = Rs. 2300
      i.e. 10/100 × MP = 2300
      or, MP = 23000

      SP = MP – Discount = 23000 – 2300 = Rs. 20700

      VAT amount = SP with VAT – SP = 23391 – 20700 = Rs. 2691

      VAT% = [VAT amount / SP] × 100%
      = [2691/20700] × 100%
      = 13% Ans.

      Delete
  49. A shopkeeper purchased a laptop for Rs.40000 and sold at a profit of 20% to a customer. How much did the customer pay for it with 13% VAT?

    ReplyDelete
    Replies
    1. Solution: Here,
      CP = Rs. 40000
      Profit = 20%

      SP = [(100 + P%)/100] × CP = [(100 + 20)/100] × 40000 = [120/100] × 40000 = Rs. 48000

      VAT = 13%

      ∴ SP with VAT = SP + 13% of SP
      = 48000 + 13/100 × 48000
      = 48000 + 6240
      = Rs. 54240

      ∴ Customer paid Rs. 54240. Ans.

      Delete
  50. The selling price of an article is 20 % less than its marked price and the marked
    price is 30 % above the cost price. Find the profit percent

    ReplyDelete
    Replies
    1. Solution: Here,
      Let, CP = x
      MP is 30% above the CP,
      ∴ MP = CP + 30% of CP = x + [30/100] × x = x + 3x/10 = 13x/10

      SP is 20% less than MP,
      ∴ SP = MP – 20% of MP = 13x/10 – [20/100] × 13x/10 = 13x/10 – 13x/50 = (65x – 13x)/50 = 52x/50 = 26x/25

      Profit = SP – CP = 26x/25 – x = x/25

      Profit % = [Profit/CP] × 100%
      = [(x/25)/x] × 100%
      = [1/25] × 100%
      = 4% Ans.

      Delete
  51. A tourist bought a thanka for Rs678 including 13% VAT.How much rupees does he get return at the same time of leaving nepal

    ReplyDelete
    Replies
    1. Solution: Here,
      SP with VAT = Rs. 678
      VAT = 13%

      SP = [100/(100+v%)] × SP with VAT
      = [100/(100+13)] × 678
      = [100/113] × 678
      = Rs. 600

      VAT amount = SP with VAT – SP = Rs. 678 – 600 = Rs. 78

      VAT is refundable for the tourist. Therefore, he will get return amount = Rs. 78 Ans.

      Delete