Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been
Explanation:
Let the cost price be c and marked price be m. Total selling price for 12 toys = Rs. 12c.
Anil sells 8 toys at 20% discount. Hence, total selling price for 8 toys = 8 × 0.8m = 6.4m
He then sells 4 toys at further 25% discount. Hence, total selling price for 8 toys = 4 × 0.75 × 0.8m = 2.4m
Given, 6.4m + 2.4m = 2112
⇒ m = 240
Now, he earns an overall profit of 10%
∴ 12c × 1.1 = 2112
⇒ c = 160
∴ With no discounts his profit % = (240 - 160)/160 × 100 = 50%
Hence, option (a).
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