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A, B and C starts a business, A invests money for 4 months and claim (1/8)th of the profit and B invests money for 6 months and claim (1/3)th of the profit, while C invests Rs. 1560 for 8 months. How much money did A invests?

A, B and C starts a business, A invests money for 4 months and claim (1/8)th of the profit and B invests money for 6 months and claim (1/3)th of the profit, while C invests Rs. 1560 for 8 months. How much money did A invests? Correct Answer Rs. 720

As, A claim 1/8 of the profit and B claims 1/3 of the profit so, let the profit be 24 units

⇒ Profit of A = (1/8) × 24 = 3 units

⇒ Profit of B = (1/3) × 24 = 8 units,

⇒ Profit of C = 24 – 3 – 8 = 13 units

Also, A invests money for 4 months, B invests for 6 months and C invests for 8 months.

We know,

⇒ k × Profit = Time × investment, where k is a constant

 

A

B

C

Profit

3

8

13

Time

4

6

8

Investment

3k/4

8k/6

13k/8

 

Given,

⇒ C’s investment = Rs. 1560

⇒ 13k/8 = Rs. 1560

⇒ k = 960

Now,

⇒ A’s investment =3k/4 = (3 × 960)/4 = Rs. 720

∴ Investment of A is Rs. 720

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