Percentage


  1. A’s salary is increased by 10% and then decreased by 10%. Then, change in salary is









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    Here , y = 10%
    We can find the required answer with the help of given formula ,

    Change in salary = -
    y × y
    %
    100

    Correct Option: B

    Here , y = 10%
    We can find the required answer with the help of given formula ,

    Change in salary = -
    y × y
    %
    100

    Change in salary = -
    10 × 10
    = -1 %
    100

    Negative sign shows decrease.


  1. A saves 20% of his monthly salary. If his monthly expenditure is ₹ 6,000, then his monthly savings is









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    If the monthly income of A is ₹ P, then

    P × 80
    = 6000
    100

    ⇒ P =
    6000 × 100
    = ₹ 7500
    80

    Correct Option: A

    If the monthly income of A is ₹ P, then

    P × 80
    = 6000
    100

    ⇒ P =
    6000 × 100
    = ₹ 7500
    80

    ∴ Savings = 7500 – 6000 = ₹ 1500



  1. A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves ₹ 4,500 per month, which is equal to half the balance after spending on food and transport, his monthly salary is









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    Suppose monthly income of the man is Rs. P.

    Expenditure on food = 40% of P = ₹
    2P
    5

    Remaining amount = P –
    2P
    5

    = ₹
    3P
    5

    Expenditure on transport =
    1
    ×
    3P
    35

    = ₹
    P
    5

    Remaining amount =
    3P
    -
    P
    55

    Correct Option: B

    Suppose monthly income of the man is Rs. P.

    Expenditure on food = 40% of P = ₹
    2P
    5

    Remaining amount = P –
    2P
    5

    = ₹
    3P
    5

    Expenditure on transport =
    1
    ×
    3P
    35

    = ₹
    P
    5

    Remaining amount =
    3P
    -
    P
    55

    =
    2P
    5

    =
    1
    ×
    2P
    = 4500
    25

    ∴ P = 4500 × 5 = ₹ 22,500Suppose monthly income of the man is Rs. x.
    Expenditure on food
    = 40% of x = ₹
    2x
    5

    Remaining amount = x –
    2x
    5

    = ₹
    3x
    5

    Expenditure on transport
    =
    1
    ×
    3x
    35

    = ₹
    x
    5

    Remaining amount
    =
    3x
    -
    x
    55

    =
    2x
    5

    =
    1
    ×
    2x
    = 4500
    25

    ∴ x = 4500 × 5 = ₹ 22,500


  1. Nitin’s salary was reduced by 10% and then the reduced salary was increased by 10%. His new salary in comparison with his original salary is









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    Let Nitin’s initial salary be 100
    After 10% reduction, New salary = 90% of 100 = ₹ 90
    Again after 10% increase ,

    New salary =
    90 × 110
    = ₹ 99
    100

    Correct Option: C

    Let Nitin’s initial salary be 100
    After 10% reduction, New salary = 90% of 100 = ₹ 90
    Again after 10% increase ,

    New salary =
    90 × 110
    = ₹ 99
    100

    ∴ Percentage decrease = 1 %



  1. A man spends 75% of his income. His income increased by 20% and he increased his expenditure by 15%. His savings will then be increased by









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    Let man’s income = ₹ 100
    Savings = 100 – 75 = ₹ 25
    New income = ₹ 120

    Savings = 120 -
    75 × 115
    = 120 -
    345
    1004

    Savings =
    480 - 345
    = ₹
    135
    44

    Correct Option: C

    Let man’s income = ₹ 100
    Savings = 100 – 75 = ₹ 25
    New income = ₹ 120

    Savings = 120 -
    75 × 115
    = 120 -
    345
    1004

    Savings =
    480 - 345
    = ₹
    135
    44

    Increase in savings =
    135
    - 25 = ₹
    35
    44

    ∴ Percentage increase =
    35 / 4
    × 100 = 35%
    25