Question:

The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs 25 and Rs 20 respectively. The sum is

Updated On: Oct 10, 2024
  • Rs 500
  • Rs 200
  • Rs 250
  • Rs 100
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The Correct Option is D

Solution and Explanation

Let that amount be Rs \(x\), and rate be r\(\%\)
Then for simple interest
\(\frac{x+r}{100}=25\)
\(x\times r=2500\)
For true discount
\(\frac{(x-20)\times r}{100}=20\)
\(xr-20r=2000\)
From equations (i) and (ii), we get
2500-20\(r\) = 2000
\(r=25\%\)
\(xr-20r=200\) 
The correct option is (D)
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