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Three partners A, B and C invested their amounts in ratio of 3 ∶ 5 ∶ 6. At the end of four months, A invests some amount such that, his total investment will equal to C’s initial investment and C withdraw some amount that its total investment will be equal to B’s initial investment. If 20% of B’s share in profit of one year is 2550 Rs. Then share of A and B in total annual profit will be?


1. Rs. 17,500
2. Rs. 22,500
3. Rs. 20,500
4. Rs. 25,500
5. None of these

1 Answer

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Correct Answer - Option 4 : Rs. 25,500

Given:

Ratio of investments of A, B and C = 3 ∶ 5 ∶ 6

Formula:

Profit = investment × time

Calculation:

Let amount invested by A, B and C are 3x, 5x and 6x respectively.

⇒ At the end of 4 month A’s investment = 3x + 3x = 6x = C’s initial invested

⇒ At the  end of 4 month C’s investment = 6x – x = 5x = B’s initial invested

Now, ratio of investment of A, B and C

= ( 3x × 4 + 6x × 8 ) ∶ ( 5x × 12 ) ∶ ( 6x × 4 + 5x × 8 )

⇒ 15 ∶ 15 ∶ 16

Let the profit of B is = 15y

According to question. 

15y × 20% = Rs. 2550

⇒  y = Rs. 850

Share of A and B = 15y + 15y = 30y

⇒ 30 × 850 = Rs. 25500

∴ Share of A and B together in profit is Rs. 25,500 

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