Question
Person 'X' allocates 20% of his income to food. From the
remaining amount, he spends 25% on education. Then, he uses 30% of what is left after food and education expenses on rent. After spending Rs. 4000 on spare items, he is left with Rs. 4400. What is his total income?Solution
ATQ,
Let the income of a perosn 'X' be Rs. x Amount spent by him on food = Rs. 0.2x Amount spent by him on education = 0.25 × (x – 0.2x) = Rs. 0.2x Amount spent by him on rent = 0.3 × (x – 0.2x – 0.2x) = Rs. 0.18x ATQ, x – (0.2x + 0.2x + 0.18x + 4000) = 4400 Or, x = 8400/0.42 = Rs.20,000
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