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A trader had 2000 kgs of rice. He sold a part of it at 10% profit and the rest of it at 16% profit so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10% profit?
- A1400
- B600
- C800
- D1000
Answer not set
Discussion 1
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CCommunity
Let the cost of each kg of rice = Rs. 1
Cost of 2000 kg of rice = Rs. 2000
Total selling price = 114.2% of 2000 = 2000 × 114.2/100 = Rs. 2284
Let x kg be the amount of rice he sold at 10% profit and (2000 – x) be the amount of rice he sold at 16% profit and overall profit = 14.2%
Cost price of x kg rice = Rs. x
Selling price of rice of x kg rice = x × 110/100 = 1.1x
Cost price of (2000 – x) kg rice = Rs. (2000 – x)
Selling price of rice = (2000 – x) × 116/100 = 2320 – 1.16x
Total S.P. = 1.1x + (2320 – 1.16x) = 2320 – 0.06x
Equating S.P.
2320 – 0.06x = 2284
⇒ x = 600 kg
∴ The amount of rice he sells at 10% profit = 600kg.
Cost of 2000 kg of rice = Rs. 2000
Total selling price = 114.2% of 2000 = 2000 × 114.2/100 = Rs. 2284
Let x kg be the amount of rice he sold at 10% profit and (2000 – x) be the amount of rice he sold at 16% profit and overall profit = 14.2%
Cost price of x kg rice = Rs. x
Selling price of rice of x kg rice = x × 110/100 = 1.1x
Cost price of (2000 – x) kg rice = Rs. (2000 – x)
Selling price of rice = (2000 – x) × 116/100 = 2320 – 1.16x
Total S.P. = 1.1x + (2320 – 1.16x) = 2320 – 0.06x
Equating S.P.
2320 – 0.06x = 2284
⇒ x = 600 kg
∴ The amount of rice he sells at 10% profit = 600kg.