Question

The marked price of an article is Rs.500.The shopkeeper gives a discount of 5% and still makes a profit of 25%.Find the cost price of the article?

Answer 1

The cost price of article is Rs 380

Solution:

Given that, marked price of article is Rs.500

Discount = 5 %

Profit = 25 %

To find: cost price of article

Let us first find the selling price

Selling price = Marked price - 5 % discount on marked price

Selling price = 500 - 5 % discount on 500

$Selling price = 500 - \frac{5}{100} \times 500 = 500 - 25 = 475$

Thus selling price is Rs 475

Finding cost price:

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

$cost \: price = \frac{100}{100 + 25} \times 475\\\\cost \: price = \frac{100}{125} \times 475\\\\cost \: price = 380$

Thus cost price of article is Rs 380

Learn more about cost price and selling price

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Answer 2

Answer:

M.P. = Rs. 500

Discount = 5%

Profit = M.P × Discount % / 100

= 500 × 5 / 100

= Rs.25

S.P = 500-25

=475

C.P = 100 × S.P / 100+ profit

= 100 × 475 /125

C.P = 380