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A started a business with a capital of Rs1,12,000. After 2 months, B joined the business with a capital of Rs80,000, and after another 2 months, C joined the business with a capital of Rs72,000. After 10 months from thestart of the business, B withdrew Rs.8,000 and C also withdrew Rs8,000. If B received Rs9,800 as his share in the profit at the end of a year, then the total profit was:
Rs35,800
Rs30,800
Rs32,400
Rs33,600
Correct option:4 Total capital of A at the end of the year = 112,000 × 12 = 13,44,000 Total capital of B at the end of the year = 80,000 × 8 + 72,000 x 2 = 6,40,000 + 1,44,000= 7,84,000 Total capital of C at the end of the year = 72000 x 6 + 64000 x 2 = 432000 + 128000 = 560000 Profit ratio of A, B and C = 1344000: 784000: 560000= 84:49:35 49x = 9800 x = 9800/49 = 200 Total Profit = (84x + 49x + 35x) = 168x= 168 x 200 = Rs. 33600
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