Question
How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gain 20% ?
Answer: Option C
$$\eqalign{
& {\text{Let the cost price = Rs}}{\text{. 100}} \cr
& {\text{Selling price = 120}}\% {\text{ of 100}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 120}} \cr
& {\text{Market price = 120}} \times \frac{{100}}{{75}}{\text{ }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 160}} \cr
& {\text{Above }}\% {\text{ = }}\frac{{160 - 100}}{{100}} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 60\% \cr} $$
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$$\eqalign{
& {\text{Let the cost price = Rs}}{\text{. 100}} \cr
& {\text{Selling price = 120}}\% {\text{ of 100}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 120}} \cr
& {\text{Market price = 120}} \times \frac{{100}}{{75}}{\text{ }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 160}} \cr
& {\text{Above }}\% {\text{ = }}\frac{{160 - 100}}{{100}} \times 100 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 60\% \cr} $$
Was this answer helpful ?
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