Question
During month-long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is Rs. x, then the price (in rupees) during the last week of the sale will be = ?
Answer: Option C
$$\eqalign{
& {\text{Single equivalent discount}} \cr
& = \left( {50 + 40 - \frac{{50 \times 40}}{{100}}} \right)\% \cr
& = 70\% \cr
& \therefore {\text{Required price of shirt }} \cr
& {\text{ = }}\left( {100 - 70} \right)\% {\text{ of }}x \cr
& = 30\% {\text{ of }}x \cr} $$
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$$\eqalign{
& {\text{Single equivalent discount}} \cr
& = \left( {50 + 40 - \frac{{50 \times 40}}{{100}}} \right)\% \cr
& = 70\% \cr
& \therefore {\text{Required price of shirt }} \cr
& {\text{ = }}\left( {100 - 70} \right)\% {\text{ of }}x \cr
& = 30\% {\text{ of }}x \cr} $$
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