A started a business with a capital of ₹1,12,000. After 2 months, B joined the business with a capital of ₹80,000, and after another 2 months, C joined the business with a capital of ₹72,000. After 10 months from the start of the business, B withdrew 8,000 and C also withdrew ₹8,000. If B received ₹9,800 as his share in the profit at the end of a year, then the total profit was:
Answer & explanation
Correct answer: 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 × 2 = 6,40,000 + 1,44,000
= 7,84,000
Total capital of C at the end of the year = 72000 × 6 + 64000 × 2 = 432000 + 128000 = 560000
Profit ratio of A, B and C = 1344000 : 784000 : 560000
= 84 : 49 : 35
49x = 9800
x = \(\frac{9800}{49}\) = 200
Total Profit = (84x + 49x + 35x) = 168x
= 168 × 200 = Rs. 33600