A man bought goods worth Rs. 10,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole?
Explanation:
Total cost price = Rs. 10,000 To gain 25% on the whole, total selling price of goods = 10000 × 1.25 = Rs. 12,500
Cost price of half of them = Rs. 5,000 These goods are sold at 10% profit, hence their selling price = 5000 × 1.1 = Rs. 5,500
∴ Selling price of the remaining half goods = 12500 - 5500 = Rs. 7,000 Cost price of these half goods = Rs. 5,000
⇒ Required profit % = (7000 - 5000)/5000 × 100% = 40%
Hence, option (d).
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