If an article is sold for ₹\(x\), there is a loss of 15%. If the same article is sold for ₹\(y\), there is a profit of 15%. The ratio \((y-x):(y+x)\) is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 3 : 20
A loss or profit percentage is reckoned on the cost price, so both selling prices are written in terms of the same cost price.
Assuming the cost price to be 100:
Sold at a 15% loss: \(x=85\)
Sold at a 15% profit: \(y=115\)
\(y-x=30\) and \(y+x=200\)
\((y-x):(y+x)=30:200=3:20\)