A sum of Rs. 2,500 is distributed among X, Y and Z in two ratio 1/2 : 3/4 : 5/6

A sum of Rs. 2,500 is distributed among X, Y and Z in two ratio 1/2 ∶ 3/4 ∶ 5/6. What is the difference between the maximum share and the minimum share?

1. Rs. 300
2. Rs. 350
3. Rs. 400 
4. Rs. 450

• Answer: The correct option is C
• Explanation:

  Ratio of sum distributed among X, Y and Z = (1/2) : (3/4) : (5/6) = 6 : 9 : 10

  Let the share of X, Y and Z be 6n, 9n and 10n respectively.

  According to the question,

  6n + 9n + 10n = Rs. 2500

  25n = 2500

  n = Rs. 100

  The difference between maximum share and minimum share = 10n - 6n

  = 4n = 4 × 100 = Rs. 400

• Exam Year: 2020