Question : The marked price of a trouser is four times the cost price. To earn 64% profit, what should be the discount percentage?
Option 1: 55%
Option 2: 62%
Option 3: 65%
Option 4: 59%
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Correct Answer: 59%
Solution :
Given, Marked price (MP) of a trouser = 4 × the cost price (CP)
⇒ $\frac{MP}{CP} = \frac{4}{1}$
$\frac{MP}{CP} = \frac{100 + \text{ profit%}}{100 - \text{ Discount%}}$
⇒ $\frac{4}{1} = \frac{100 + 64}{100 - \text{ Discount%}}$
⇒ $100 - \text{ Discount%} = \frac{164}{4}$
⇒ $100 - \text{ Discount%}= 41$
⇒ Discount% $= 100 - 41 = 59$%
Hence, the correct answer is 59%.
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