Practice Questions on Percentage for Quantitative Techniques of CLAT

Practice Questions on Percentage for Quantitative Techniques of CLAT

• An employee of ABC Pvt. Ltd. was punished for a mischief and his​​ salary​​ was​​ cut​​ down to 36%. If his new salary is Rs. 72000, calculate his original salary?

• There are 2000 books in a school library where 60% of the books are​​ non-fiction​​ and among them 25% of the books are subject textbooks. Find the no. of​​ non-fiction​​ books that are not subject text books.

• In what percent of numbers​​ does 0 appear in 1 to 100?

• The value of Scotch bottle increases by 25% with each passing year. If A bought​​ it in​​ 2005 at Rs. 10000, what was its value in 2003?

• If 70 is 40% more than 50, by how much is 50 less than 70?

• The population of a city increases from 250000 to 500000 in 3 years. Find the percentage increase per year.

• What percentage of months in a year do not have 31 days in one month.

• The total price of a table and a chair together is Rs. 8000 and the price of chair was Rs. 500 more than twice the price of the Table. Find the price of the chair.

• If there are 900 girls out of which 20% are literate and out of the illiterate portion 27% are from urban areas, how many illiterate girls are from rural areas?

DO IT YOURSELF!!!

Because of the relaxed tax system, the price of Stationary dropped by 55%, what percent of stationary must be bought to keep the expenditure unchanged

ANSWERS WITH EXPLANATIONS

• Let the original salary be Rs. x.

New salary = Original Salary – 36% of original salary

72000 = x – (36/100)* x

72000 =​​ 16x/25

x = Rs. 112500

• No. of non-fiction books = (60/100)*2000

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 1200

No. of non-fiction books that are not subject textbooks = (75/100)*1200

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 900

• Required Percentage = (10/100)*100 = 10%

• Let the value in 2003 be Rs. x

Value in 2004 = x+ (25/100)*x

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = x+ (x/4)

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 5x/4

Value in 2005 = 5x/4 + (25/100)*5x/4

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 5x/4 +​​ 5x/16

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 25x/16

25x/16 = 10000

x = Rs. 6400​​ 

• Required Percentage = (20/70)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (2/7)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 28.5%

• Percentage increase = [(500000 – 250000)/250000] *100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 100%

Percentage increase per year = 100/3 = 33.33%

• Required Percentage = (5/12)*100

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 41.6%

• Let the price of table and chair be Rs. x and Rs. y respectively

x+ y = 8000

y = 2x + 500

8000 – x = 2x + 500

7500 = 3x

x = 7500/3

 ​​ ​​ ​​​​ = Rs. 2500

Price of the chair = y = (2*2500) + 500 = Rs. 5500

• No. of illiterate ​​ girls = ( 80/100) * 900

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = (4/5)* 900

 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = ​​ 720

No. of illiterate girls from rural areas = (73/100)*720 = 526 (approx.)

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