A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves ₹9,600 per month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:
Explanation:
Let the income be Rs. I
He spends 20% i.e., 1/5th on food. ∴ Amount remaining after food = 4I/5
He spends 1/4th of the remaining on charity ∴ Amount remaining after charity = 4I/5 × 3/4 = 3I/5
He saves half of this remaining amount ∴ 3I/10 = 9600 ⇒ I = 32,000
Hence, option (b).
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