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How much percentage above the cost price should a shopkeeper mark on his goods so that after allowing a discount of 10% he should gain 26% ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{CP}} = {\text{100 }} - {\text{ D% }} \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{100 }} - {\text{ 10}} \cr
& \,\,\,\,\,\,\,\,\,\,\, = {\text{90}} \cr
& {\text{MP}} = {\text{100 + P% }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{100 + 26}} \cr
& \,\,\,\,\,\,\,\,\,\,\,{\text{ = 126}} \cr
& {\text{Difference = 126 }} - {\text{ 90}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 36}} \cr
& {\text{Required }}\% = \frac{{36}}{{90}} \times 100 = 40\% \cr} $$
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