Multiple choice

Minu purchases a pair of sunglasses at Rs. 1,000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. 500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

  1. 35.42%

  2. 31.25%

  3. 52%

  4. 26%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Minu buys at 1000. Sells to Kanu at 1200 (20% profit). Kanu sells back to Minu at 1200 * 0.8 = 960 (20% loss). Minu now has the item at cost 960. Total profit = 500. Profit from first sale = 200. Profit needed from second sale = 300. Selling price to Tanu = 960 + 300 = 1260. Profit % = (300/960) * 100 = 31.25%.

AI explanation

Minu's first selling price to Kanu is 1000 + 20% of 1000 = Rs. 1200, giving Minu a Rs. 200 profit. Kanu sells it back at a 20% loss on 1200, so Minu buys it for 1200 - 240 = Rs. 960. Minu's total profit is Rs. 500, and since she already made Rs. 200 on the first sale, she must make a net profit of Rs. 300 on the final transaction, meaning she sells it to Tanu for 960 + 300 = Rs. 1260. The profit percentage on this final sale is (300 / 960) * 100 = 31.25%.

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