Percentage


  1. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings.









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    Let man’s income be Rs. 100.
    ∴ Expenditure = Rs. 75
    Savings = Rs. 25
    Case–II,
    Man’s income = Rs. 120

    Expenditure =
    75 × 110
    = Rs. 82.5
    100

    Savings = 120 – 82.5 = Rs. 37.5

    Correct Option: B

    Let man’s income be Rs. 100.
    ∴ Expenditure = Rs. 75
    Savings = Rs. 25
    Case–II,
    Man’s income = Rs. 120

    Expenditure =
    75 × 110
    = Rs. 82.5
    100

    Savings = 120 – 82.5 = Rs. 37.5
    ∴ Percentage increase =
    37.5 - 25
    × 100
    25

    =
    12.5
    × 100 = 50%
    25


  1. Mukesh has twice as much money as Soham. Soham has 50% more money than Pankaj. If the average money with them is Rs.110, then Mukesh has









  1. View Hint View Answer Discuss in Forum

    Let Amount with Soham = Rs. p
    ∴ Amount with Mukesh = Rs. 2p

    Amount with Pankaj =
    100p
    150

    = Rs.
    2p
    3

    ∴ Soham : Mukesh : Pankaj = p
    : 2p :
    2p
    = 3 : 6 : 2
    3

    Sum of the terms of ratio = 3 + 6 + 2 = 11

    Correct Option: C

    Let Amount with Soham = Rs. p
    ∴ Amount with Mukesh = Rs. 2p

    Amount with Pankaj =
    100p
    150

    = Rs.
    2p
    3

    ∴ Soham : Mukesh : Pankaj = p
    : 2p :
    2p
    = 3 : 6 : 2
    3

    Sum of the terms of ratio = 3 + 6 + 2 = 11
    ∴ Amount with Mukesh = Rs.
    6
    × 330 = Rs. 180
    11



  1. Ram babu donated 3% of his income to a charity and deposited 12% of the rest in bank. If now he has Rs. 12804, then his income was :









  1. View Hint View Answer Discuss in Forum

    Let Ram Babu’s salary be Rs. p. Remaining amount after donations to charity

    = Rs.
    97p
    100

    After depositing money in the bank,
    Remaining amount =
    97p
    ×
    88
    100100

    Correct Option: B

    Let Ram Babu’s salary be Rs. p. Remaining amount after donations to charity

    = Rs.
    97p
    100

    After depositing money in the bank,
    Remaining amount =
    97p
    ×
    88
    100100

    97p × 88
    = 12804
    10000

    ⇒ p =
    12804 × 10000
    = Rs. 15000
    97 × 88


  1. A man spends 75% of his income. His 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 Man’s income = Rs. 100
    ∴ Expenditure = Rs. 75
    Savings = Rs. 25
    New income = Rs. 120

    Expenditure =
    75 × 110
    = Rs. 82.5
    100

    Correct Option: B

    Let Man’s income = Rs. 100
    ∴ Expenditure = Rs. 75
    Savings = Rs. 25
    New income = Rs. 120

    Expenditure =
    75 × 110
    = Rs. 82.5
    100

    ∴ Required percentage =
    37.5 - 25
    × 100
    25

    Required percentage =
    12.5 × 100
    = 50%
    25



  1. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first ?









  1. View Hint View Answer Discuss in Forum

    Let the third number be 100.
    ⇒ First number = 70
    Second number = 63

    Required percent =
    70 - 63
    × 100
    70

    Correct Option: A

    Let the third number be 100.
    ⇒ First number = 70
    Second number = 63

    Required percent =
    70 - 63
    × 100
    70

    Required percent =
    7
    × 100 = 10%
    70