A certain sum is divided between A, B, C and D such that the ratio of shares of A and B is 4: 3, that of B and C is 5 : 8 and that of C and D is 2 : 5. If the difference between the shares of B and D is ₹2,250, then the original sum is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ₹5,950.
A : B = 4 : 3; B : C = 5 : 8; C : D = 2 : 5
A : B : C : D = 20 : 15 : 24 : 60
D - B = 60 - 15 = 45
⇒ 1 unit = 2250/45 = 50
Sum of all parts = 20 + 15 + 24 + 60 = 119
Total = 119 × 50 = 5950