A B and C started a business with their capitals in the ratio 1 4 4 At the end of every 3 months A d...........

Quantitative Aptitude (CPO) Profit and loss

A, B and C started a business with their capitals in the ratio 1 : 4 : 4. At the end of every 3 months, A doubles his capital, B halves his

capital and C leaves his capital unchanged. At the end ofthe year, if B’s share in the profit was ?4,50,000, then the total profit(in ?

lakhs) was

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-2

32.4

24.2

34.8

23.1

- A, B, and C invested in a business in the ratio of 1:4:4.

- Every 3 months, A doubles his investment, B halves his, and C's remains unchanged.

- At the year's end, B's profit was ?4,50,000.

- To find the total profit, consider the effective capital of each person per quarter:

- A's effective share: 1+2+4+8 = 15 parts.

- B's effective share: 4+2+1+0.5 = 7.5 parts.

- C's effective share: 4+4+4+4 = 16 parts.

- Total effective parts = 15 + 7.5 + 16 = 38.5 parts.

- B's profit from 7.5 parts = ?4,50,000.

- Total profit = (?4,50,000 / 7.5) * 38.5 = ?23,10,000 or ?23.1 lakhs.

The correct answer is Option: 4 - 23.1.

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