rect 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?
Question
rect 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?
Solution
Step 1: Understand the problem Two friends invested different amounts in a business and earned a profit. Half of the profit was divided equally and the other half was divided according to their investment proportions. We need to find out how much each of them received.
Step 2: Calculate the total investment The total investment is Rs. 1500 (Friend 1) + Rs. 2500 (Friend 2) = Rs. 4000
Step 3: Calculate the equal share of profit Half of the profit is Rs. 800 / 2 = Rs. 400. Since this is divided equally, each friend gets Rs. 400 / 2 = Rs. 200.
Step 4: Calculate the proportional share of profit The other half of the profit (Rs. 400) is divided according to their investment proportions.
Friend 1's proportion is Rs. 1500 / Rs. 4000 = 0.375 So, Friend 1 gets 0.375 * Rs. 400 = Rs. 150
Friend 2's proportion is Rs. 2500 / Rs. 4000 = 0.625 So, Friend 2 gets 0.625 * Rs. 400 = Rs. 250
Step 5: Calculate the total amount each friend received Friend 1 received Rs. 200 (equal share) + Rs. 150 (proportional share) = Rs. 350 Friend 2 received Rs. 200 (equal share) + Rs. 250 (proportional share) = Rs. 450
So, Friend 1 received Rs. 350 and Friend 2 received Rs. 450.
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