Question

    The ratio between Riya's income and expenditure is 5:3. If

    both income and expenditure rise by 60% and 40% respectively, find the percentage increase in her savings.
    A 120% Correct Answer Incorrect Answer
    B 90% Correct Answer Incorrect Answer
    C 75% Correct Answer Incorrect Answer
    D 45% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial income and expenditure of Riya be Rs. '5n' and Rs. '3n', respectively.

    Initial savings = 5n - 3n = Rs. '2n'

    Increased income = (8/5) × 5n = Rs. '8n'

    Increased expenditure = (7/5) × 3n = Rs. '21n/5'

    Final savings = 8n - 21n/5 = Rs. (40n - 21n)/5 = 19n/5

    Required percentage = [(19n/5 - 2n) ÷ 2n] × 100

    = [(19n - 10n) ÷ 10n] × 100

    = (9n ÷ 10n) × 100 = 90%

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