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

Correct option is D

Given:

Gain = 5%

Loss = 5%

Difference in selling price = ₹5

Solution:

Let the Cost Price = ₹x

Selling Price at 5% gain = x + 5% of x = x +$$\frac{5x}{100}$$​ = $$\frac{105x}{100}$$​​

Selling Price at 5% loss = x - 5% of x = x $$- \frac{5x}{100} = \frac{95x}{100}$$​​

Now, the difference in selling prices:

​$$\frac{105x}{100} - \frac{95x}{100} = ₹5$$​​

​$$\frac{105x - 95x}{100} = 5$$​

​$$\frac{10x}{100} = 5$$​

​$$\frac{x}{10} = 5$$​

x = 50

Alternate Method:

2 $$\rightarrow$$ 5

1 $$\rightarrow$$ 2.5

Then, 

20 $$\times 2.5$$ = 50​