Question

the marked price of an article is rs 500 . the shopkeeper gives a discount of 5 percent and still makes a profit of 25 percent . find the cp of the article

Answer 1

Marked Price = Rs 500

Find Selling Price after discount:

5% discount = 0.05 x 500 = Rs 25

Selling Price after discount = 500 - 25 = Rs 475

Find the Cost Price:

Selling Price = Cost Price + Profit

Selling Price = 100 + 25 = 125%

125% = Rs 475

1% = 475 ÷ 125 = Rs 3.80

100% = 3.8 x 100 = Rs 380

Answer: The Cost Price is Rs 380

Answer 2

Marked price = Rs 500

Discount = 5 %


Finding selling price -

500 x 5/100 = 25

500 - 25 = 475

Selling price = Rs 475 .

Finding cost price -


$cost \: price \: = \dfrac{100}{100 + profit} \times sp$


$cost \: price \: = \dfrac{100}{100 + 25} \times 475$

$cost \: price = \dfrac{100}{125} \times 475$


$cost \: price \: = 380$


Hence : Cost price = Rs 380