Tick (✓) the correct answer


Tick (✓) the correct answer:

If an article is sold at a gain of 5% instead of being sold at a loss of 5%, a man gets Rs 5 more. What is the cost price of the article?

(a) Rs 50

(b) Rs 40

(c) Rs 60

(d) Rs 80


(a)​ Rs. 50   

 Let the $\mathrm{CP}$ be Rs $x$. Then, we have:

$(105 \%$ of $x)-(95 \%$ of $x)=5$

$\Rightarrow\left(\frac{105}{100} \times x\right)-\left(\frac{95}{100} \times x\right)=5$

$\Rightarrow\left(\frac{105 x}{100}-\frac{95 x}{100}\right)=5$

$\Rightarrow \frac{(105 x-95 x)}{100}=5$

$\Rightarrow \frac{10 x}{100}=5$

$\Rightarrow \frac{x}{10}=5$

$\Rightarrow x=50$

$\therefore C P=R s 50$


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