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At what percentage above the cost price must an article be...

This question belongs to Arithmetic Ability Profit And Loss
Profit and Loss
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At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5% ?

Answer & Solution
Correct Answer: Option A
Cost Price : Marked Price
(100 - Discount%)   :   (100 + Profit%)
100 - 5% : 100 + 33%
$$\underbrace {95\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,133}_{38}$$
$$\eqalign{ & {\text{Required }}\% = \frac{{38}}{{95}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 40\% \cr} $$
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