If a merchant makes a profit of $20 %$ after giving a $20 %$ discount, what should be his mark-up?

40

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50

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60

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70

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Solution

The correct option is B $50$
Assume cost price $= 100$ .
As profit $% = 20 %$ , profit made after the discount $= 20 %$ of $100 = R s .20$
So, selling price $= R s .120$ .
The merchant makes this profit of $20 %$ after a discount of $20 %$ .
Therefore, he is selling at Marked price - $20 %$ of marked price $= 80 %$ of marked price.
i.e., $80 %$ of marked price $= R s .120$
$\frac{80}{100}$ of marked price $= 120$
Marked price $= 120 \times \frac{100}{80}$
Markup $= 50 %$

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