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A sum of Rs8,235 is divided between A, B, C and D such that the ratio of the shares of A and B is 3 : 4, that of B and C is 8 : 5, and
that of C and D is 7 : 10. What is the difference between the shares of A and C?
Rs270
Rs310
Rs405
Rs315
To solve the problem, let's break it down step by step:
- The ratios given are:
- A : B = 3 : 4
- B : C = 8 : 5
- C : D = 7 : 10
- We need to make these ratios consistent across A, B, C, and D by expressing them with a common factor. First, combine these ratios:
- A : B : C = 3x : 4x : (5/8) × 4x = 15x/2
- Considering C : D = 7 : 10, express C and D in terms of a single variable.
- Hence, B : C : D = 8y : 5y : (10/7) × 5y = 50y/7
- Set 4x = 8y and solve for variable equality:
- x = 2y, which gives us overall ratios for A, B, C, and D.
- Calculate shares:
- A = 3x = 6y, B = 4x = 8y, C = 5y and D = (50/7)y.
By summing these parts and making them equal to 8235, solve for y and find each one's share, specifically A and C. The calculations show the difference is Rs315.
Therefore, the correct answer is:
Option:4 - Rs315
.
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