Question

A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 20% and 25% to a customer. As a result he incurred a loss of Rs.1400. At what price (in rupees) did he sell the item to the customer?

Answer 1

Let the C.P of item be $C$

Then, Marked Price = $\frac{6}{5}C$

Sale Price after dicounts = $\frac{8}{10}\times \frac{75}{100}\times \frac{6}{5}C$

So $C-$ $\frac{8}{10}\times \frac{75}{100}\times \frac{6}{5}C=1400$

Solving we get $c=\frac{17500}{9}$

So the S.P. of article $=1400$ RS