Multiple choice

'B' Invested twice than that of 'A' while 'C invested thrice than that of 'B' and ratio between time period of investment of A, B and C is 6:3:8. If difference between profit share of C and A is Rs.3990, then find total profit of all three together?

  1. Rs. 4,800

  2. Rs. 5,100

  3. Rs. 5,700

  4. Rs. 5,400

  5. Rs. 6,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B:C = 1:2:6. Time ratio A:B:C = 6:3:8. Profit ratio = Investment * Time = (1*6):(2*3):(6*8) = 6:6:48 = 1:1:8. Difference between C and A profit = 8x - 1x = 7x = 3990. x = 570. Total profit = 1x + 1x + 8x = 10x = 5700.

AI explanation

Let A's investment be x, so B's investment is 2x and C's investment is 6x. Given the time ratio of 6:3:8 for A, B, and C respectively, their profit ratio is calculated by multiplying investment by time, yielding 6x:6x:48x, or 1:1:8. The difference between C's and A's profit shares is 8 - 1 = 7 units, which is given as Rs. 3990, meaning one unit equals Rs. 570. The total profit of all three is the sum of the ratio parts, which is 1 + 1 + 8 = 10 units, resulting in a total profit of 10 x 570 = Rs. 5700.

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