Question : If Rs. 4200 is distributed among A, B, and C such that A : B = 2 : 3 and B : C = 6 : 5, then find the share of B.
Option 1: Rs. 1770
Option 2: Rs. 1680
Option 3: Rs. 1550
Option 4: Rs. 1800
Correct Answer: Rs. 1680
Solution :
A : B = 2 : 3 and B : C = 6 : 5
If we equal B in both ratios we get, A : B = 4 : 6, B : C = 6 : 5
So, A : B : C = 4 : 6 : 5
Total amount = Rs. 4200
B's share = $4200×\frac{6}{4+6+5}=4200×\frac{6}{15}=1680$
Hence, the correct answer is Rs. 1680.
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