Question
'X' allocates 20% of his income
to rent, then spends 25% of the remaining income on food. From what is left, he uses 35% on education and (5/13)th of the remaining amount on other expenses. The rest is saved. If his total savings are Rs. 10,800, determine how much he spent on education.Solution
ATQ,
Let the income be Rs. '100x' Amount spent on rent = 0.2 X 100x = Rs. '20x' Remaining income = 100x - 20x = Rs. '80x' Amount spent on food = 0.25 X 80x = Rs. '20x' Remaining income = 80x - 20x = Rs. '60x' Amount spent on education = 0.35 X 60x = Rs. '21x' Remaining income = 60x - 21x = Rs. '39x' Savings = (8/13) × 39x = '24x' So, 24x = 10,800 Or, 'x' = 450 Required amount = 21 × 450 = Rs. 9,450
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