A sum of ₹ 14,175 is divided among A, B and C in the ratio 2/3 : 3/5 : 5/6. What is the difference (in Rs) between the shares of A and C?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1125.
Given:
A sum of ₹ 14,175 is divided among A, B and C in the ratio 2/3 : 3/5 : 5/6
Calculations:
⇒ A : B : C = 2/3 : 3/5 : 5/6
⇒ A : B : C = (60 × 2/3) : (60 × 3/5) : (60 × 5/6) = 20 : 18 : 25
Let the share of A, B and C be 20x, 18x and 25x
Total share = 20x + 18x + 25x
⇒ 14175 = 63x
⇒ x = 225
Required difference between the share of A and C = 25x - 20x = 5x
⇒ 5 × 225 = 1125