Question:
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
Solution:
(a) Rs. 50
Let the $\mathrm{CP}$ be Rs $x$. Then, we have:
$(105 \%$ of $x)-(95 \%$ of $x)=5$
$\Rightarrow\left(\frac{105}{100} \times x\right)-\left(\frac{95}{100} \times x\right)=5$
$\Rightarrow\left(\frac{105 x}{100}-\frac{95 x}{100}\right)=5$
$\Rightarrow \frac{(105 x-95 x)}{100}=5$
$\Rightarrow \frac{10 x}{100}=5$
$\Rightarrow \frac{x}{10}=5$
$\Rightarrow x=50$
$\therefore C P=R s 50$