Mark (✓) against the correct answer:
Question:

Mark (✓) against the correct answer:

On selling 100 pens, a man gains the selling price of 20 pens. The gain per cent is

(a) 20%

(b) 25%

(c) $16 \frac{2}{2} \%$

(d) 15%

Solution:

(b) 25%

Let Rs $x$ be the SP of 100 pen $s$.

SP of 1 pen $=$ Rs $\frac{x}{100}$

Profit on 100 pen $s=$ selling price of 20 pens

$=\frac{20}{100} \times x$

$=\frac{x}{5}$

Now, CP $=$ SP $-$ Profit

$=x-\frac{\mathrm{x}}{5}$

$=\frac{4 \mathrm{x}}{5}$

$\therefore$ Profit percent on 100 pens $=\frac{\text { profit }}{\mathrm{CP}} \times 100$

$=\frac{\frac{x}{5}}{\frac{4 \mathrm{x}}{5}} \times 100$

$=25 \%$

 

 

 

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