A merchant bought two watches for ₹ 9,000 each. He sold one watch at a loss of 10\% . At what price (in ₹) should he sell the other watch to earn a pr - Quantitative Aptitude MCQ Prepp 2026 | ExamTest.live

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A merchant bought two watches for ₹ 9, 000 each. He sold one watch at a loss of 10% . At what price (in ₹) should he sell the other watch to earn a profit of 18% overall?

Solution & Step-by-step Explanation

Step 1: Calculate the total Cost Price (CP) and required total Selling Price (SP) * Cost Price of each watch = ₹ 9, 000 * Total CP for both watches = 9000 + 9000 = ₹ 18, 000 * Target overall profit = 18% Total required SP to get 18% profit: Total Required SP = 18000 \times (1 + \frac{18}{100}) = 18000 \times 1.18 = ₹ 21, 240 Step 2: Calculate the Selling Price of the first watch The first watch is sold at a loss of 10% : SP of 1^{st} watch = 9000 \times (1 - \frac{10}{100}) = 9000 \times 0.90 = ₹ 8, 100 Step 3: Determine the required Selling Price of the second watch Required SP of 2^{nd} watch = Total Required SP - SP of 1^{st} watch Required SP of 2^{nd} watch = 21240 - 8100 = ₹ 13, 140

Try it yourself before checking the explanation above.

A merchant bought two watches for ₹ 9, 000 each. He sold one watch at a loss of 10% . At what price (in ₹) should he sell the other watch to earn a profit of 18% overall?

14, 130

14, 310

13, 140

13, 410

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