A certain sum is divided between A, B and C, such that the ratio of shares of A and C is 7 : 5 and that of C and B is 8 : 3. If the difference between the shares of A and B is ₹984, then the sum (in₹) is.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2,664.
A : C = 7 : 5, C : B = 8 : 3
Make C common:
A : C : B = 56 : 40 : 15
A − B = 56 − 15 = 41 parts
41 parts = ₹984 ⇒ 1 part = ₹24
Total parts = 56 + 40 + 15 = 111
Total sum = 111 × 24 = ₹2664