# Q. A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio

½: ¾: 5/6

What is the difference between the maximum share and the minimum share?

(a) Rs. 300

(b) Rs. 350

(c) Rs. 400

(d) Rs. 450

Correct Answer: (c) Rs. 400

#### Question from UPSC Prelims 2020 CSAT Paper

**Explanation :**

## Rs 2500 distributed amount X, Y & Z

Share of X = a/2

Share of Y = 3a/4

Share of Z = 5a/6

Total Share = a/2 + 3a/4 + 5a/6

= a(6 + 9 + 10)/12

= 25a/12

25a/12 = 2500

=> a = 1200

Share of X = a/2 = 1200/2 = 600

Share of Y = 3a/4 = 3(1200)/4 = 900

Share of Z = 5a/6 = 5(1200)/6 = 1000

Maximum share = 1000

Minimum Share = 600

Difference = 1000 – 600 = 400