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**Percentage | What is percentage?**

**Percentage**is the rate per hundred and percent means per hundred i.e. out of hundred. For example 15 percent means 15 out of 100. A percentage is a fraction having the denominator 100. The symbol to denote percent is % of any fraction. Say, 4/25 is equivalent to 16/100 which denotes 16%.

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**10 Math Problems** officially announces the release of **Quick Math Solver**, an Android **App** on the **Google Play Store** for students around the world.

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**To
convert fraction or decimal into percent**:

To convert a fraction or decimal into percent we have
to multiply by 100%.

**For example**: 3/10 = 3/10 × 100% = 30%

Similarly,

0.36 = 0.36 × 100% = 36%

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**To
convert a percent into fraction:**

To convert a percent into fraction we have to divide by
100.**For example**: 46% = 46/100 = 23/50

Similarly,

7.5% = 7.5/100 = 75/1000 = 3/40

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**To
find the percent of quantities**:

To find the percent of quantities we convert the
percent into fraction and multiply with total quantity.

**For example**: Take 32% of Rs. 75

= 32/100 × Rs. 75

= Rs. 24

###
*Workout
Examples*

*Workout Examples*

*Example 1: Among 225 candidates, 20% failed. Find the number of candidates who passed.*

*Solution:*

*Here,*

*Total candidates = 225*

*Failed = 20% of 225*

*= 20/100 × 225*

*= 45*

*∴*

*Passed = Total – failed*

*= 225 – 45*

*= 180*

*Example 2: A boy gets 25 marks out of 75. What percent of marks does he get?*

*Solution:*

*Here,*

*A boy gets 25 out of 75*

*∴*

*He got*

*= 25/75 × 100%*

*= 100/3%*

*= 33.33%*

*Example 3: There are 6000 mangoes in a fruit shop, among them 1500 are sold. What percent of mangoes are unsold?*

*Solution:*

*Here,*

*Total mangoes = 6000*

*Sold mangoes = 1500*

*∴*

*Unsold mangoes*

*= 6000 – 1500*

*= 4500*

*∴*

*Unsold percent*

*= 4500/6000 × 100%*

*= 25%*

*Example 4: 25% of total students in a school are boys. If 150 students were girls, find the number of boys.*

*Solution:*

*Here,*

*Percent of boys = 25%*

*∴*

*Percent of girls = 100 – 25% = 75%*

*No. of girls = 150*

*Let, total students = x*

*∴*

*75% of x = 150*

*or, 75/100 × x = 150*

*or, x = 150 × 100/75*

*or. x = 200*

*∴*

*Total students = 200*

*∴*

*No. of boys = 200 – 150*

*= 50*

*Example 5: The price of petrol is increased from Rs. 105 per litre to Rs. 125 per litre, what percent is increased?*

*Solution:*

*Here,*

*Increased price = Rs. 125 – 105*

*= Rs. 20*

*∴*

*Increased percent = 20/105 × 100%*

*= 100/7%*

*= 19.05%*

*You can comment your questions or problems regarding the percentage here.*

in an election between two candidates, 20% of the registered voters did not cast their vote and 40 votes were declared invalid. the winner received 42% of the registered votes and was declared the winner by 112 votes. what was the number of registered voters.

ReplyDelete

DeleteSolution:Let, no of registered voters = x

Did not cast = 20% of x = 20x/100

Invalid votes = 40

Winner = 42% of x = 42x/100

Loser = 42% of x – 112 = 42x/100 – 112

∴ 20x/100 + 40 + 42x/100 + 42x/100 – 112 = x

or, 104x/100 – x = 72

or, 4x/100 = 72

or, 4x = 7200

or, x = 7200/4

or, x = 1800

∴ No of registered voters = 1800