A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is Rs 3,510, then the share of D is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs 6,075
A : B = 1 : 3
B : C = 2 : 5
C : D = 2 : 3.
On combining all the ratios we get,
A : B : C : D = 4 : 12 : 30 : 45.
The difference between the shares of A and C is Rs 3,510.
30x - 4x = 3510
x = 135.
Share of D = 45x = 45 × 135 = 6075.