Question

the marked price of an article is ₹ 500 the shopkeeper gives a discount of 5%of and still makes profit of 25% find them of article​

Answer 1

Answer:

Description for Correct answer:

CP of the article = 500×95100×100125= Rs.380

Answer 2

Step-by-step explanation:

Correct Question:-

The marked prices 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.

$\bf{\underline{\underline\red{Given:-}}}$

• Marked price of an article = Rs. 500

• Shopkeeper gives a discount is 5%

• But still the shopkeeper makes a profit of 25%.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The cost price of the article.

$\bf{\underline{\underline\green{Solution:-}}}$

As we know:-

The formula for finding dicount when discount% and M.P are given is:-

$\boxed{ \sf \leadsto Discount = \frac{Discount\%}{100} \times M.P }$

Here:-

• Discount% = 5%

• M.P = Marked Price = Rs. 500

Substituting the values:-

${ \sf = \dfrac{5}{100} \times 500}$

${ \sf = 5 \times 5 }$

${ \sf = 25}$

${ \sf \implies Discount = Rs. 25}$

The formula for finding the selling price if marked price and discount are given is:-

$\sf \implies S.P = M.P - Discount$

$\sf \implies S.P = 500 - 25$

$\sf \implies S.P =Rs.475$

Now:-

As we know that:-

The formula for finding Cost Price (C.P) is :-

$\boxed{ \sf \leadsto C.P = \frac{S.P}{100+ Profit\%} \times 100}$

Here:-

• C.P = ?

• S.P = selling price = 475

• Profit% = 25%

Substituting the values:-

${ \sf \implies C.P = \dfrac{S.P}{100+ Profit\%} \times 100}$

${\sf = \dfrac{475}{ 100+ 25} \times 100}$

${\sf = \dfrac{475}{ 125} \times 100}$

${\sf = 380}$

$\underline{\boxed{\sf \purple{ \therefore Cost \: price \: of \: the \: article = Rs. 380}}}$