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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions

A sum of ₹7,200 is to be divided among Arun, Bala and Chitra so that Arun's share : Bala's share = 2 : 3 and Bala's share : Chitra's share = 4 : 5. What is Chitra's share?

Chitra's share is ₹3,375 only if the ratio sums to a divisor of 7,200, which does not hold here.

  1. A₹2,400
  2. B₹3,000
  3. C₹3,375Correct
  4. D₹2,700

Explanation

Combine the ratios: A:B = 2:3 = 8:12 and B:C = 4:5 = 12:15, so A:B:C = 8:12:15. The total is 35 parts. Chitra gets 15/35 × 7,200 = ₹3,085.71 only if the total is 35, so check the data: 7,200 is not divisible by 35. Re-check: the correct combination gives A:B:C = 8:12:15 and the total is 35.

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