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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 тАШAjayтАЩ and тАШPawanтАЩ be Rs. 5x and Rs. 3x, respectively Amount spent by тАШAjayтАЩ on food = 0.2 ├Ч 5x = Rs. x Amount spent by тАШAjayтАЩ on education = 0.25 ├Ч (5x тАУ x) = Rs. x Therefore, savings of тАШAjayтАЩ = 0.5 ├Ч (5x тАУ x тАУ x) = Rs. 1.5x Savings of тАШPawanтАЩ = 0.4 ├Ч 3x = Rs. 1.2x Required % = {(1.5x тАУ 1.2x)/1.5x} ├Ч 100 = 20%

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