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Select the correct answerA trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?Options78 kg67 kg90 kg89 kg

Question

Select the correct answerA trader has 200 kg of sugar, out of which he sells some with 10% profit and the rest with 25% profit. He gains 15% on the whole. Find the quantity of sugar sold at 25% profit?Options78 kg67 kg90 kg89 kg

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Solution

To solve this problem, we can use the concept of weighted averages.

Let's denote:

  • X as the amount of sugar sold at 10% profit
  • Y as the amount of sugar sold at 25% profit

We know that X + Y = 200 kg (the total amount of sugar)

The trader gains 15% on the whole, so we can set up the following equation:

(10% * X + 25% * Y) / 200 = 15%

Solving this equation for Y (the amount of sugar sold at 25% profit), we get:

Y = (15% * 200 - 10% * X) / 15%

Substituting X = 200 - Y into this equation, we get:

Y = (15% * 200 - 10% * (200 - Y)) / 15%

Solving this equation for Y, we get:

Y = 90 kg

So, the trader sold 90 kg of sugar at 25% profit. The correct answer is 90 kg.

This problem has been solved

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