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A manufacturer sells a pair of glasses to a wholesaler with an 18% profit. The wholesaler then sells it to a retailer gaining 20%. Finally, the retailer sells the glasses to a customer for Rs. 30.09, making a 25% profit. What was the manufacturer's original cost price?

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Subject
Mathematics Mcqsmathematics-mcqs
Published
2 Jan 2022
Last updated
28 May 2026

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Explanation

Let the manufacturer's cost price be Rs. x. The selling price after the manufacturer's profit is 1.18x. The wholesaler sells it at 20% profit, so price becomes 1.20 × 1.18x = 1.416x. The retailer sells it at 25% profit, so final price = 1.25 × 1.416x = 1.77x. Given the final price is Rs. 30.09, we have 1.77x = 30.09, which gives x = 30.09 ÷ 1.77 = Rs. 17.

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