Question
CSATHardPrelims 2020Maths

A sum of Rs. 2,500 is distributed among X, Y and Z in two ratio 1/2 ⁣:3/4 ⁣:5/61/2 \colon 3/4 \colon 5/6. What is the difference between the maximum share and the minimum share?

Explanation

The given ratio of the amounts distributed among X, Y, and Z is:

Step 1: Simplify the Ratio Finding the LCM of denominators (2,4,6)=12(2, 4, 6) = 12. Multiply each term by 12: 6:9:106:9:10

Step 2: Assign Shares Let the shares of X, Y, and Z be 6n6n, 9n9n, and 10n10n, respectively.

Step 3: Use the Given Total Amount 6n+9n+10n=25006n+9n+10n=2500

Simplify: 25n=250025n=2500 n=100n=100

Step 4: Find the Difference Maximum share = 10n=10×100=100010n = 10 \times 100 = 1000 Minimum share = 6n=6×100=6006n = 6 \times 100 = 600

Difference: 1000600=4001000-600=400

Final Answer: The difference between the maximum and minimum shares is Rs. 400.

More questions fromMaths

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

Practice Now
  • Track accuracy & weak areas
  • See past trends & repeated themes
Start Practicing Now

PYQs by Papers

Crack UPSC with your
Personal AI Mentor

An AI-powered ecosystem to learn, practice, and evaluate with discipline

SuperKalam
SuperKalam is your personal mentor for UPSC preparation, guiding you at every step of the exam journey.

Download the App

Get it on Google PlayDownload on the App Store
Follow us

ⓒ Snapstack Technologies Private Limited