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    Question

    The incomes of Ajay and Pawan are in the ratio of 5:3.

    Ajay allocates 20% of his income to food, spends 25% of the remaining amount on education, and saves half of what is left. On the other hand, Pawan spends 60% of his income and saves the rest. By what percentage are Pawan's savings greater or smaller compared to Ajay's savings?
    A 20% Correct Answer Incorrect Answer
    B 18% Correct Answer Incorrect Answer
    C 25% Correct Answer Incorrect Answer
    D 35% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the incomes of ‘Ajay’ and ‘Pawan’ be Rs. 5x and Rs. 3x, respectively Amount spent by ‘Ajay’ on food = 0.2 × 5x = Rs. x Amount spent by ‘Ajay’ on education = 0.25 × (5x – x) = Rs. x Therefore, savings of ‘Ajay’ = 0.5 × (5x – x – x) = Rs. 1.5x Savings of ‘Pawan’ = 0.4 × 3x = Rs. 1.2x Required % = {(1.5x – 1.2x)/1.5x} × 100 = 20%

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