Mark (✓) against the correct answer


Mark (✓) against the correct answer

The selling price of an article is $\frac{6}{5}$ of the cost price. The gain per cent is

(a) 15%

(b) 20%

(c) 25%

(d) 30%


(b) 20%

Let $x$ be the CP of the article.

Then, SP of the article $=\frac{6}{5} x$

Now, gain $=(\mathrm{SP}-\mathrm{CP})$

$=\left(\frac{6}{5} \mathrm{x}-\mathrm{x}\right)$


$\therefore$ Gain percentage $=\left(\frac{\text { gain }}{\mathrm{CP}} \times 100\right) \%$

$=\left(\frac{\frac{x}{5}}{x} \times 100\right) \%$

$=\left(\left(\frac{x}{5} \times \frac{1}{x}\right) \times 100\right) \%$

$=20 \%$



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