A sum of Rs. 1300 is divided between A, B and C and D such

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A sum of Rs. 1300 is divided between A, B and C and D such that ( A's share / B's share ) = ( B's share / C's share ) = ( C's share / D's share ) = 2 / 3, Then A's share is ?

1. Rs. 140
2. Rs. 160
3. Rs. 240
4. Rs. 320

Correct Option: B

∵ A : B = 2 : 3, B : C = 2 : 3 and C:D = 2 : 3
⇒ A : B = 8 : 12, B : C = 12 : 18 and C : D = 18 : 27
∴ A : B : C : D =8 : 12 : 18 : 27
So A's share = Rs. 1300 x ( 8 / 65) = Rs. 160