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Select the correct answerTwo friends invested Rs. 1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive?OptionsRs. 450 and Rs. 440Rs. 350 and Rs. 450Rs. 570 and Rs. 430Rs. 805 and Rs. 678

Question

Select the correct answerTwo friends invested Rs. 1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive?OptionsRs. 450 and Rs. 440Rs. 350 and Rs. 450Rs. 570 and Rs. 430Rs. 805 and Rs. 678

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Solution

The first step is to understand how the profit was divided. Half of the profit, which is Rs. 400, was divided equally between the two friends. So, each of them received Rs. 200 from this portion.

The other half of the profit, which is also Rs. 400, was divided in proportion to their capitals. The total capital is Rs. 1500 + Rs. 2500 = Rs. 4000.

The first friend's capital was Rs. 1500, so the proportion of the total capital that he provided is 1500/4000 = 0.375. Therefore, he received 0.375 * Rs. 400 = Rs. 150 from this portion of the profit.

The second friend's capital was Rs. 2500, so the proportion of the total capital that he provided is 2500/4000 = 0.625. Therefore, he received 0.625 * Rs. 400 = Rs. 250 from this portion of the profit.

Adding the amounts each friend received from both portions of the profit, the first friend received Rs. 200 + Rs. 150 = Rs. 350 and the second friend received Rs. 200 + Rs. 250 = Rs. 450.

So, the correct answer is Rs. 350 and Rs. 450.

This problem has been solved

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