A sum of Rs.x is divided among A, B, and C such that the ratio of shares of A and B is 7 : 12 and that of B and C is 8: 5. If the difference in the shares of A and C is Rs.214, then the value of x is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Rs.11,342
The ratio of the share of A and B = 7 : 12
The ratio of the share of B and C = 8 : 5
⇒ A : B : C = 14 : 24 : 155
Let the shares be 14 units, 24 units, and 15 units
The difference in shares of A and C = (15 - 14) units
⇒ 1 Unit = Rs.214
⇒ Sum = 14 + 15 + 24
⇒ 53 units
⇒ 53 × 214
⇒ Rs. 11342