Percentage

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Aptitude miscellaneous
  1. The population of a town is 8000. It increases by 10% during first year and by 20% during the second year. The population after 2 years will be ?








  1. View Hint View Answer Discuss in Forum

    Population after 2 years
    =8000(1 + 10/100) (1 + 20/100)
    = (8000 x 11/10 x 6/5) = 10560

    Correct Option: B

    Population after 2 years
    =8000(1 + 10/100) (1 + 20/100)
    = (8000 x 11/10 x 6/5) = 10560

  1. A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this so that water may be 20% in the new mixture ?








  1. View Hint View Answer Discuss in Forum

    ∵ Milk = 90% 0f 40 = 36 litres and water = 4 litres.
    Let L litre water to be added in order to make 20% water in new mixture.
    ⇒ {(4 + L) / (40 + L)} x 100 = 20

    Correct Option: B

    ∵ Milk = 90% 0f 40 = 36 litres and water = 4 litres.
    Let L litre water to be added in order to make 20% water in new mixture.
    ⇒ {(4 + L) / (40 + L)} x 100 = 20
    ⇒ 20 x (40 + L) = 100 x (4 + L)
    ⇒ 80 x L = 400
    ∴ L = 5 litres .

  1. If the numerator of a fraction is increased by 20% and he denominator be diminished by 10%, the value of the fraction is 16/21. The original fraction is ?








  1. View Hint View Answer Discuss in Forum

    Let the original fraction be p/q
    Now, (120% of p) / (90% of q) = 16 / 21
    ⇒ 4p / 3q = 16/21

    Correct Option: B

    Let the original fraction be p/q
    Now, (120% of p) / (90% of q) = 16 / 21
    ⇒ 4p / 3q = 16/21
    ∴ p / q = (16/21) x (3/4) = 4 / 7

  1. The price of an article has been reduced by 25%. In order to restore the original price, the new price must be increased by ?








  1. View Hint View Answer Discuss in Forum

    Let original price = Rs. 100
    Reduced price = Rs. 75
    Increase on Rs. 75 = Rs. 25
    Increase on Rs. 100 = (25 x 100)/75 % = 331/3 %

    Correct Option: A

    Let original price = Rs. 100
    Reduced price = Rs. 75
    Increase on Rs. 75 = Rs. 25
    Increase on Rs. 100 = (25 x 100)/75 % = 331/3 %

  1. A man spends 75% of his income. This income is increased by 20% and he increased his expenditure by 10%. His savings are increased by ?








  1. View Hint View Answer Discuss in Forum

    Let income = Rs. 100
    Then expenditure = Rs. 75 and saving = Rs. 25
    New expenditure = 110% of Rs. 75 = Rs. 165 / 2
    New saving = Rs. (120 - 165/2) = Rs. 75/2
    Increase in saving = Rs. (75/2 - 25) = Rs. 25/2
    ∴ Increase% = (25/2) x (1/25) x 100% = 50%

    Correct Option: D

    Let income = Rs. 100
    Then expenditure = Rs. 75 and saving = Rs. 25
    New expenditure = 110% of Rs. 75 = Rs. 165 / 2
    New saving = Rs. (120 - 165/2) = Rs. 75/2
    Increase in saving = Rs. (75/2 - 25) = Rs. 25/2
    ∴ Increase% = (25/2) x (1/25) x 100% = 50%