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A invests Rs. 2800 and B invests Rs. 2100 in a business, A withdraws his money after 6 months while C invested 25% of A's capital after 4 months when A withdraws his money and B invests for the whole year, if annual profit of is Rs. 930, then find B's share.

A invests Rs. 2800 and B invests Rs. 2100 in a business, A withdraws his money after 6 months while C invested 25% of A's capital after 4 months when A withdraws his money and B invests for the whole year, if annual profit of is Rs. 930, then find B's share. Correct Answer Rs. 540

Given:

Sum invested by A = Rs. 2800

Sum invested by B = Rs. 2100

Time for which A invested = 6 months

Time for which B invested = 12 months

Formula Used:

Profit = Investment × Time

Calculations:

Sum invested by A = Rs. 2800

Sum invested by B = Rs. 2100

Sum invested by C = 25% of 2800

⇒ Sum invested by C = Rs. (25/100) × 2800

⇒ Sum invested by C = Rs. 700

C invested after 4 months when A withdraws

⇒ Time for which C invested = 12 - 6 - 4 = 2 months

Profit ratio of

A : B : C = 2800 × 6 : 2100 × 12 : 700 × 2

⇒ A : B : C = 12 : 18 : 1

1 unit = 930/(12 + 18 + 1) 

⇒ 930 / 31 = 30

⇒ B's share = 30 × 18 = Rs. 540

∴ The value of B's share is Rs. 540.

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