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Select the correct answerA merchant has 840 Kg of rice, part of which he sells 9% profit and rest at 16% profit. He gains 12% profit on the whole. What is the quantity sold at 16% profit?Options630 kg280 kg360 kg420 kg

Question

Select the correct answerA merchant has 840 Kg of rice, part of which he sells 9% profit and rest at 16% profit. He gains 12% profit on the whole. What is the quantity sold at 16% profit?Options630 kg280 kg360 kg420 kg

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Solution

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

Let's denote:

  • X as the quantity of rice sold at 9% profit
  • Y as the quantity of rice sold at 16% profit

We know that X + Y = 840 kg (total quantity of rice)

The merchant gains 12% profit on the whole, so we can set up the following equation:

(9% * X + 16% * Y) / 840 kg = 12%

To simplify the problem, let's assume X = 840 kg - Y.

Substitute X in the equation:

(9% * (840 kg - Y) + 16% * Y) / 840 kg = 12%

Solving this equation will give us the value of Y, which is the quantity of rice sold at 16% profit.

After solving the equation, we find that Y = 280 kg.

So, the correct answer is 280 kg.

This problem has been solved

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