Question

the marked price of book as rs 250. of the book is sold at 10% discount the book seller makes a profit of 20%. find the price of the book?

Answer 1

Given:

The marked price of a book is ₹250 and the book is sold at a 10% discount yet the seller makes a profit of 20%.

To Find:

Find the cost price of the book.

Solution:

It is given that the marked price of the book is ₹250 and a discount of 10% is given so the selling price can be found as

                                           $MP=250\\SP=250-(\frac{10}{100}*250)\\=250-25\\=225$

so the selling price of the book is ₹225.

Now the seller makes a profit of 20% after selling the book at ₹225. So to find the cost price we need the formula as,

                                  Profit%$=(\frac{SP-CP}{CP}) *100$

now putting the values

$20=(\frac{225-CP}{CP})*100\\20CP=22500-100CP\\120CP=22500\\CP=187.5$

Hence, the cost price of the book is ₹187.5.