Question

A man sells two articles at Rs. 990 each. On one he gains 10% and on the other he loses 10%. His overall result is:

• A. Loss of 1%
• B. No profit no loss
• C. Gain of 1%
• D. Loss of 2%

Answer 1

The Correct Option is A

Step 1: Equal SP with \(+10\%\) and \(-10\%\) always gives a net loss of \(\dfrac{10^2}{100}\%=1\%\).
Step 2: Check: CP1 \(=900\), CP2 \(=1100\); total CP \(=2000\), total SP \(=1980 \Rightarrow\) loss \(20\) on \(2000 = 1\%\).

Quick Tip: Selling two items at the same price with \(\pm x\%\) gives a fixed loss of \(\dfrac{x^2}{100}\%\).