A man makes a profit of 20% after selling a product on 28% discount on the printed price. Find the ratio of printed price to cost price.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5 : 3
The selling price can be written in two ways: from the cost price with the 20% profit, and from the printed price with the 28% discount. Setting the two equal links the printed price to the cost price.
SP \(=120\%\) of CP \(=1.2\,\)CP
SP \(=72\%\) of the printed price \(=0.72\,\)MP
\(0.72\,\)MP \(=1.2\,\)CP
\(\displaystyle \frac{\text{MP}}{\text{CP}}=\frac{1.2}{0.72}=\frac{120}{72}=\frac{5}{3}\)