Question

A shopkeeper declare a 20% discount on his goods and sells it at a profit of 25%.what is the cost price of the goods if tgecmarked price quoted is Rs.2000

Answer 1

Answer:

selling price

$2000(1 - \frac{20}{100} )rs \\ 20 \times 80 \\ = 1600rs$

now ...if the cost price is x Rs then the profit is

=(1600-x)rs

therefore

$\frac{1600 - x}{x} \times 100 = 25 \\ 160000 - 100x = 25x \\ x = \frac{160000}{125} \\ x = 160 \times 8 \\ x = 1280 \: rs$

the cost price is 1280 rs