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A sum of Rs x is divided between A, B, C and D such that the ratio of the shares of A and B is 3 : 2, that of B and C is 9 : 8 and
that of C and D is 4: 3. If the difference between the shares of B and D is Rs708, then what is the value of x ?
8,732
8,496
8,850
8,614
To solve the problem, follow these steps:
- Ratios:
- A:B = 3:2
- B:C = 9:8
- C:D = 4:3
- Adjust Ratios:
- Combine ratios:
- A:B = 3:2 can be written as 27x:18x (multiply by 9)
- B:C = 9:8 can be written as 18x:16x (multiply by 2)
- C:D = 4:3 can be written as 16x:12x
- Express Shares:
- A = 27x, B = 18x, C = 16x, D = 12x
- Given Difference:
- B - D = Rs 708
- 18x - 12x = Rs 708
- 6x = Rs 708
- x = Rs 118
- Total Sum (x):
- A + B + C + D = 27x + 18x + 16x + 12x = 73x
- Total = 73 * 118 = Rs 8,614
So, the value of x is Rs 8,614.
By: santosh ProfileResourcesReport error
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