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?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%
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
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