Question
Arjun Spends 20% of his income to
food, then spends 15% of the remaining amount on rent, followed by 25% of what remains on travel. If 12.5% of the money left after these expenditures amounts to Rs. 765, determine his total income.Solution
ATQ,
Let, the income of Arjun be Rs. '100x'. Remaining money after spending on food = 0.80 × 100x = Rs. '80x' Remaining money after spending on rent = 0.85 × 80x = Rs. '68x' Remaining money after spending on travel = 0.75 × 68x = Rs. '51x' ATQ, 12.5% of 51x = 765 Or, (1/8) × 51x = 765 [because, 12.5% = (1/8) ] Or, 51x = 6120 Or, x = 120 So, the income of Arjun = 100x = 100 × 120 = Rs. 12,000
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