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An amount of money is to be divided between A, B and C in the ratio of 5 : 2 : 8. If the difference between the shares of A and C is ₹7,740, then what
Question

An amount of money is to be divided between A, B and C in the ratio of 5 : 2 : 8. If the difference between the shares of A and C is ₹7,740, then what will be the total amount?

A.

₹28,976

B.

₹38,700

C.

₹35,875

D.

₹30,983

Correct option is B

Given:
Ratio of A : B : C = 5 : 2 : 8
Difference between A and C's shares = ₹7,740
Solution:
Let the A’s share = 5x , B's share = 2x and C’s share = 8x
Difference = 7740
8x - 5x = 7740
3x = 7740
x = 77403\frac {7740} 3​ = 2580
Total amount = A + B + C = 5x + 2x + 8x = 15x
Total = 15 × 2580 = ₹38,700

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