Percentage


  1. Mita’s income is 25% more than that of Sita. What percent is Sita’s income less than that of Mita ?









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    Here , A = 25%
    We can find the required percentage with the help of given formula ,

    Required percentage =
    A
    × 100
    100 + A

    Correct Option: D

    Here , A = 25%
    We can find the required percentage with the help of given formula ,

    Required percentage =
    A
    × 100
    100 + A

    Required percentage =
    25
    × 100 = 20%
    100 + 25


  1. If the total monthly income of 16 persons is 80,800 and the income of one of them is 120% of the average income, then his income is









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    Let the required income be ₹ p.

    Average monthly income = ₹
    80800
    = ₹ 5050
    16

    ∴ p = 120% of 5050

    Correct Option: B

    Let the required income be ₹ p.

    Average monthly income = ₹
    80800
    = ₹ 5050
    16

    ∴ p = 120% of 5050 = ₹
    120
    × 5050 = ₹ 6060
    100



  1. If the monthly salary of an employee is increased by 2
    2
    %
    3

    he gets 72 rupees more. His monthly salary (in rupees) is









  1. View Hint View Answer Discuss in Forum

    Suppose monthly income = p

    Then,
    8
    % of p = 72
    3

    ⇒ p ×
    8
    = 72
    300

    Correct Option: C

    Suppose monthly income = p

    Then,
    8
    % of p = 72
    3

    ⇒ p ×
    8
    = 72
    300

    72 × 300
    = ₹ 2700
    8

    Hence , required answer is ₹ 2700 .


  1. Radha spends 40% of her salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If her savings at the end of a month are ₹ 1500, then her salary per month (in ₹) is









  1. View Hint View Answer Discuss in Forum

    Radha’s total percentage expenditure = (40 + 20 + 10 + 10)% = 80%
    Percentage savings = 100 – 80 = 20%
    Now, 20% of her total salary = 1500

    Her total salary =
    1500 × 100
    = ₹ 7500
    20

    Second method to solve this question ,
    Here, p = 40% , q = 20% , r = 10% , s = 10% and R = ₹ 1500
    Monthly income =
    100
    × R
    100 - (p + q + r + s)

    Correct Option: B

    Radha’s total percentage expenditure = (40 + 20 + 10 + 10)% = 80%
    Percentage savings = 100 – 80 = 20%
    Now, 20% of her total salary = 1500

    Her total salary =
    1500 × 100
    = ₹ 7500
    20

    Second method to solve this question ,
    Here, p = 40% , q = 20% , r = 10% , s = 10% and R = ₹ 1500
    Monthly income =
    100
    × R
    100 - (p + q + r + s)

    Monthly income =
    100
    × 1500
    100 - (40 + 20 + 10 + 10)

    Monthly income =
    150000
    100 - 80

    Monthly income =
    150000
    = ₹ 7500
    20



  1. A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with ₹ 10080. His income was :









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    Let income be ₹ 100
    ∴ Sum given to elder son = 20% of ₹ 100 = ₹ 20
    Remaining Sum = Rs. 80
    Sum given to younger son = 30% of ₹ 80 = ₹ 24
    Remaining sum = Rs. (80 – 24) = Rs. 56
    Sum given to the trust = 10% of ₹ 56 = ₹ 5.6
    ∴ Remaining sum = ₹ (56 – 5.6) = ₹ 50.4
    ∴ When 50.4 remains, total income = ₹ 100

    ∴ When ₹ 10080 remains, total income =
    100 × 10080
    = ₹ 20000
    50.4

    ,
    Here, R = ₹ 10080
    p = 20%,
    q = 24%
    and r = 5.6%

    Correct Option: D

    Let income be ₹ 100
    ∴ Sum given to elder son = 20% of ₹ 100 = ₹ 20
    Remaining Sum = Rs. 80
    Sum given to younger son = 30% of ₹ 80 = ₹ 24
    Remaining sum = Rs. (80 – 24) = Rs. 56
    Sum given to the trust = 10% of ₹ 56 = ₹ 5.6
    ∴ Remaining sum = ₹ (56 – 5.6) = ₹ 50.4
    ∴ When 50.4 remains, total income = ₹ 100

    ∴ When ₹ 10080 remains, total income =
    100 × 10080
    = ₹ 20000
    50.4

    ,
    Here, R = ₹ 10080
    p = 20%,
    q = 24%
    and r = 5.6%
    Monthly income =
    100
    × R
    100 - (p + q + r)

    Monthly income =
    100
    × 10080
    100 - (20 + 24 + 5.6)

    Monthly income =
    1008000
    100 - 49.6

    Monthly income =
    1008000
    = 20,000
    50.4