Question
A trader marked the selling price of an article at 10% above the cost price. At the time of selling he allows certain discount and suffers a loss of 1%. He allowed the discount of ?
Answer: Option B
Let the cost price of an article = Rs. 100
Marked price of an article = Rs. 110 (10% above)
Selling price of an article = Rs. 99 (10% discount)
$$\eqalign{
& {\text{Difference}} = {\text{ }}110 - 99{\text{ }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 11}} \cr
& {\text{Discount}} = \frac{{11}}{{110}} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
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Let the cost price of an article = Rs. 100
Marked price of an article = Rs. 110 (10% above)
Selling price of an article = Rs. 99 (10% discount)
$$\eqalign{
& {\text{Difference}} = {\text{ }}110 - 99{\text{ }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 11}} \cr
& {\text{Discount}} = \frac{{11}}{{110}} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
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