Question 64

A sum of ₹14460 is divided among A, B, C and D such that the ratio of share of A and B is 3 : 5, that of B and C is 6 : 7 and that of C and D is 14 : 15. What is the difference between the shares of A and C?

Solution

A : B = 3 : 5 , B : C = 6 : 7 , C : D = 14 : 15

Multiplying (1), (2) and (3) by 12,10 and 5 respectively, we get :

=> A : B : C : D = 36 : 60 : 70 : 75

Difference between share of A and C = $$\frac{(70-36)}{(36+60+70+75)}\times14460$$

= $$\frac{34}{241}\times14460=Rs.$$ $$2040$$

=> Ans - (D)

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