Question

a man sells an article at a gain of 15 percent had he bought it at 10 percent loss and sold it for 4 rs less , he would have gained 25 percent the cost price of the article is..

Answer 1

Step-by-step explanation:

Thank u.............❣️

Answer 2

Given:

A man sells an article at a gain of 15 percent had he bought it at 10 percent loss and sold it for Rs. 4  less, he would have gained 25 percent

To Find :

The cost price of the article

Solution:

Let the cost price of the article = x

selling price at a profit of 15% = $\frac{100+15}{100}x$

                                                   = $\frac{115}{100}x$

Cost price at 10% loss               =$\frac{100-10}{100}x$

                                                   = $\frac{90}{100}x$

gain = 25%

     $\frac{90}{100}x$+ $\frac{25}{100}$× $\frac{90}{100}x$ =  $\frac{115}{100}x$ - 4

0.9 x+ 0.225 x + 4 =   $\frac{115}{100}x$

               1.125x+4 =   $\frac{115}{100}x$

        100(1.125x+4) = 115x

          112.5x+ 400 = 115x

           115x- 112.5 x = 400

                       2.5x = 400

To eliminate the decimal we multiply by 10, we get

                       25 x = 400

                            x = 160

Therefore, The cost price of the article is Rs.160