Question

on selling an artide for
RS 900, a Shopkeeper earn
a profit of 40% find the
cost of the article?​

Answer 1

✬ C.P = Rs 642.85 ✬

Step-by-step explanation:

Given:

• Selling price of article is Rs 900.
• Profit percentage earned is 40%.

To Find:

• What is the cost price of article ?

Solution: Let the cost price be Rs x.

To find C.P when S.P & Profit % are given , we use the following formula.

★ C.P = 100/(100 + Profit %) × S.P ★

$\implies{\rm }$ 100/(100 + 40) × 900

$\implies{\rm }$ 100/140 × 900

$\implies{\rm }$ 90000/140

$\implies{\rm }$ 9000/14

$\implies{\rm }$ 642.85

Hence, the cost price of article was Rs 642.85.

____________________

➮ To find C.P when S.P & loss % are given we use following formula

• C.P = 100/(100 – Loss %) × S.P

Answer 2

Answer:

Cost price of the article was Rs.642.85.

Step-by-step explanation:

Given :-

On selling an article for Rs.900, a shopkeeper earns a profit of 40 %.

To find :-

Cost price of the article.

Solution :-

When S.P & Profit % are given, C.P will be,

$C.P = \frac{100}{100\;+Profit\;percent} * S.P$

Substituting,

$C.P = \frac{100}{100\;+40} *900$

$C.P = \frac{100}{140}*900$

$C.P = \frac{10}{14}*900$

$C.P = \frac{9000}{14}$

$C.P = 642.85$

∴ Cost price of the article was Rs.642.85.