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

Answer 1

(a)​ Rs. 50

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{CP}\mathrm{be}\mathrm{Rs}x.\mathrm{Then},\mathrm{we}\mathrm{have}: \\ \left(105\%\mathrm{of}\mathrm{x}\right)-\left(95\%\mathrm{of}\mathrm{x}\right)=5 \\ \Rightarrow \left(\frac{105}{100}\times \mathrm{x}\right)-\left(\frac{95}{100}\times \mathrm{x}\right)=5 \\ \Rightarrow \left(\frac{105\mathrm{x}}{100}-\frac{95\mathrm{x}}{100}\right)=5 \\ \Rightarrow \frac{\left(105\mathrm{x}-95\mathrm{x}\right)}{100}=5 \\ \Rightarrow \frac{10\mathrm{x}}{100}=5 \\ \Rightarrow \frac{\mathrm{x}}{10}=5 \\ \Rightarrow \mathrm{x}=50 \\ \therefore \mathrm{CP}=\mathrm{Rs}50 \end{gathered}$$