A trader had 2000 kgs of rice. He sold a part of it at 10% profit and

1.	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?1). 14002). 6003). 8004). 1000
Answer» 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.

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?1). 14002). 6003). 8004). 1000

Answer»

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.

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