Question

A man gets rs. 13 more by selling an article at a profit of 12½%, then selling it at a loss of 12½%. The cost price of the article is?

Answer 1

cp is rs 52 ........ done in easy way

Answer 2

Answer:

The cost price of the article is Rs.52

Step-by-step explanation:

Let the cost price be x

Profit% = 12.5%

Profit = $\frac{12.5}{100}x$

SP = CP+Profit

SP = $x+\frac{12.5}{100}x$

When It is sold at 12.5% loss

Loss% = 12.5%

Loss = $\frac{12.5}{100}x$

SP = CP-Loss

SP = $x-\frac{12.5}{100}x$

Now we are given that A man gets rs. 13 more by selling an article at a profit of 12½%, then selling it at a loss of 12½%.

So,  $(x+\frac{12.5}{100}x)-(x-\frac{12.5}{100}x)=13$

$\frac{9}{8}x-\frac{7}{8}x=13$

$x=52$

Hence The cost price of the article is Rs.52