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A, B, and C started the business with a capital of 25000, 16000, and 18000 respectively. B join the business after 2 months from A and 3 months before from C. A withdraw 1/5 of his investment after 5 months, B withdraws 1/8 of his investment after 3 months and C adds 1/6 of his investment after 2 months. If the annual profit of B is 2928. what is overall annual profit of A, B, and C?

A, B, and C started the business with a capital of 25000, 16000, and 18000 respectively. B join the business after 2 months from A and 3 months before from C. A withdraw 1/5 of his investment after 5 months, B withdraws 1/8 of his investment after 3 months and C adds 1/6 of his investment after 2 months. If the annual profit of B is 2928. what is overall annual profit of A, B, and C? Correct Answer 10308

Given:

A, B, and C started the business with a capital of 25000, 16000, and 18000 respectively

Calculation:

⇒ The investment of A = 25000 × 12 + 20000 × 7 = 384000

⇒ The investment of B = 16000 × 10 + 12000 × 7 = 244000

⇒ The investment of C = 18000 × 7 + 21000 × 5 = 231000

⇒ The profit share of A, B, and C = 384 : 244 : 231

⇒ The annual profit of all three = (2928/244) × (384 + 244 + 231) = 12 × 859 = 10308

∴ The required result will be 10308.

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