Question : A sum of INR 12,000 is divided between A, B, C and D such that the ratio of shares of A and B is 8 : 9, that of B and C is 2 : 3 and that of C and D is 9 : 13. What is the difference between the shares of B and D?
Option 1: INR 1,320
Option 2: INR 2,400
Option 3: INR 2,520
Option 4: INR 2,760
Correct Answer: INR 2,520
Solution :
The ratio of shares of A and B = 8 : 9
The ratio of shares of B and C = 2 : 3
The ratio of shares of C and D = 9 : 13
Ratio of shares of A, B, C and D = 16 : 18 : 27 : 39
Sum = INR 12,000
Difference between the shares of B and D = $\frac{39-18}{16+18+27+39}×12000$
= $\frac{21}{100}×12000$
= INR 2,520
Hence, the correct answer is INR 2,520.
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