Question

A discount of 15% is given on the marked price of an article which is sold for Rs-2975. If the marked price is 40% above the cost price, calculate the profit in price​

Answer 1

Answer:

The profit is Rs $475$.

Step-by-step explanation:

Let the marked price be $x$.

When a discount of $15\%$ was allowed, then the selling price is

$=x-\frac{15x}{100}$ and given the selling price as $2975$

therefore

$x+\frac{15x}{100} =2975$

$\frac{85x}{100} =2975\\\\x=2975*\frac{100}{85} \\\\x=3500$

Hence the marked price is Rs $3500$.

Next it is said that the marked price is $40\%$ above the cost price.

Let the cost price be $y$, then

$y+\frac{40y}{100} =3500\\\\\frac{140y}{100} =3500\\\\y=3500*\frac{100}{140}$

  $=2500$.

Hence the cost price is $2500$ and the selling price is $2975$

therefore, profit $=$  selling price$_$$-$ cost price

                          $=2975-2500\\\\=475$

hence the answer

thank you