A sum of ₹ x is divided between A, B & C such that the ratio of shares of A and B is 3 : 5 and that of 4 : 7. If the difference between the shares of B & C is ₹ 1455, then the value of x is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹ 6499.
Calculations:
We have, A : B = 3 : 5 ----- (1)
B : C = 4 : 7 ---- (2)
Multiplying equation (1) by 4 and equation (2) by 5, we get
A : B : C = 12 : 20 : 35
Now, we know B - C =1455
⇒ (35 - 20) units = 1455
⇒ 15 units = 1455
⇒ 1 units = 97
Now, total sum = (A + B + C) = 97 × (12 + 20 + 35)
⇒ 97 × 67 = 6499