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A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference
between the shares of A and D is Rs5,535, then the total sum (in Rs) is:
12785
13550
12285
11000
- The given ratio of shares for A, B, C, D is 4:12:30:45.
- Let the shares be 4x, 12x, 30x, and 45x.
- The difference between A's and D's shares is 45x - 4x = 41x.
- According to the problem, 41x = Rs 5,535.
- Solving for x gives: x = 5,535 / 41 = 135.
- The total sum is the sum of all the shares: 4x + 12x + 30x + 45x = 91x.
- Substitute x=135: total sum = 91 * 135 = Rs 12,285.
- Option 1: Rs 12,785
- Option 2: Rs 13,550
- Option 3: Rs 12,285
- Option 4: Rs 11,000
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