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

Solution :-

Given :
Marked price of an article = Rs 500.
Discount on its marked price = 5%
Profit = 25%


Find the selling price of an article :-

S.P = M.P - discount % of M.P
= 500 - 5% of 500
= 500 - 25
= 475


Find the cost price of an article :-

C.P = (S.P × 100)/(100 + profit)
= (475 × 100)/(100 + 25)
= 47500/125
= 380


Hence,
Cost price of an article = Rs 380

Answer 2

HeY MatE !!

HerE IS YouR AnsweR ———

M.P. of article = ₹500

Discount %= 5%

Discount = discount% of M.P.

$= 5\% \: of \: 500 \\ \\ = \frac{5}{100} \times 500 \\ \\ = 5 \times 5 \\ \\ = 25</p><p>$

now, S.P. = M.P. - discount

= 500-25

= ₹475

Here, gain or profit =25%

now , C.P. =

$= \frac{S.P. \times 100}{100 + p\%} \\ \\ = \frac{475 \times 100}{100 + 25\%} \\ \\ = \frac{475 \times 100}{125} \\ \\ = 380$

therefore, Cost Price of article is ₹380

✨Please Mark It As BRAINLIEST ✨