A sum of Rs. 12000 is divided between A, B, C, and D such that the ratio of share 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 share of B and D?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2520
The total amount of the sum = 12000
Ratio of share of A and B = 8/9 = 16/18
Ratio of share of B and C = 2/3 = 18/27
Ratio of share of C and D = 9/13 = 27/39
Hence,
A : B : C : D = 16 : 18 : 27 : 39
So, 16x + 18x + 27x + 39x = 12000
⇒ x = 120
Share of B = 120 × 18 = 2160
Share of D = 120 × 39 = 4680
Difference = 4680 - 2160 = 2520