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A invested 77000 for a year. B joined after 5 months with a capital of 60000. After few more months, C joined with a capital of 91000. The ratio of the profit of A, B and C after a year was 33 : 15 : 13. After how many months from A did C join?

A invested 77000 for a year. B joined after 5 months with a capital of 60000. After few more months, C joined with a capital of 91000. The ratio of the profit of A, B and C after a year was 33 : 15 : 13. After how many months from A did C join? Correct Answer 8

Given: A invested 77000 for a year. B joined after 5 months with a capital of 60000. After few more months, C joined with a capital of 91000. The ratio of the profit of A, B and C after a year was 33 : 15 : 13.

Formula: Ratio of profits after investment = ratio of sum of the product of invesment amount and the time invested for.

Calculation: Let C joins after x months from A

A

B

C

77000 × 12

60000 × 7

91000 × x

77 × 12

60× 7

91 × x

924

420

91x


Ratio of profits of B : C = 15 : 13

⇒ 420/91x = 15/13

⇒ 420 × 13 = 15 × 91x

⇒ 5460/1365 = x

⇒ X = 4

So, after 12 – 4 = 8 months from A, C joins

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