Multiple choice

A started a business with a capital of Rs. 1,12,000. After 2 months, B joined the business with a capital of Rs. 80,000, and after another 2 months, C joined the business with a capital of Rs. 72,000. After 10 months from the start of the business, B withdrew 8,000 and C also withdrew Rs. 8,000. If B received Rs. 9,800 as his share in the profit at the end of a year, then the total profit was:

  1. Rs. 35,800

  2. Rs. 30,800

  3. Rs. 32,400

  4. Rs. 33,600
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

A's effective capital is 112000 * 12 = 1344000. B's effective capital is 80000 * 8 + 72000 * 4 = 928000, and C's is 72000 * 6 + 64000 * 4 = 688000, giving a ratio of 84:58:43. Since B's 58 parts equal 9800, one part equals 170. The total profit of 185 parts is therefore 185 * 170 = 31450.

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