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