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A starts a business with an initial investment of Rs. 40000. After 4 months B enters into the partnership with an investment of Rs. 48000. Again after two months, C enters with an investment of Rs. 54000. If C receives Rs. 8100 as his share in the profit at the end of the year, what is the total annual profit?

A starts a business with an initial investment of Rs. 40000. After 4 months B enters into the partnership with an investment of Rs. 48000. Again after two months, C enters with an investment of Rs. 54000. If C receives Rs. 8100 as his share in the profit at the end of the year, what is the total annual profit? Correct Answer Rs. 29700

Given:

A’s investment = Rs. 40000

B’s investment = Rs. 48000

C’s investment = Rs. 54000

C’s profit = Rs. 8100

Formula:

Profit ratio = Investment × Time period

Calculation:

Profit ratio, A : B : C = 40000 × 12 : 48000 × 8 : 54000 × 6

⇒ 40 : 32 : 27

Let the overall profit be Rs x

C’s profit = 27x/99 = 8100

⇒ x = 300 × 99

⇒ x = Rs 29700

∴ Total profit = Rs. 29700

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