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
