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Question

Divide Rs. 1260 among A, B and C so that the ratio between the shares of A and B is 2:3 and the ratio between the shares of B and C is 4:5.

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Solution

Given A : B = 2 : 3And B : C = 4 : 5
Making the middle term same by taking LCM of 3 and 4 which is 12

A;B =8:12
B:C= 12:15

Therefore,
A:B:C= 8:12:15

To divide Rs.1260 in the ratio 8:12:15

Sum of the ratios is 35

A's share= (8/35) *1260 = Rs.288
B's share =(12/35) *1260 = Rs.432
C's share=(15/35) *1260 = Rs.540

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