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

Answer:

The Cost Price of the article is Rs. 380.

Step-by-step explanation:

Given :

Marked price = Rs. 500

Shopkeeper gave discount of = 5%

Made a profit of = 25%

To find :

Cost Price of the article

Solution :

Price after discount -

➨ 5% of 500

➨ 5/100 × 500

➨ 2500/100

➨ 25

Amount discounted = Rs. 25

Subtract 25 from 500

➨ 500 - 25

➨ 475

Selling Price of the article = Rs. 475

$\rule{300}{1.5}$ 

Cost Price =

Here ;

• Cost Price = ??
• Selling Price = Rs. 475
• Profit = 25%

➨ $\sf{CP=\dfrac{100}{(100 + Profit \%)} \times SP}$

➨ CP = 100/100 + 25 × 475

➨ CP = 100/125 × 475

➨ CP = 47500/125

➨ CP = 380

Cost Price = Rs. 380

$\therefore$ The Cost Price of the article is Rs. 380.

Answer 2

Answer:

The Cost Price of the Article is Rs. 380.

Step-by-step explanation:

Given :

The marked price is Rs.500

The discount = 5%

Profit occurred = 25%

To Find :

Cost price of the Article

Solution :

Selling Price of the article after discount -

$\sf{\implies} \: 5\% \: of \: 500 \\ \sf{\implies} \: \frac{5}{1\cancel{00}} \times 5\cancel{00} \\ \sf{\implies} \:5 \times 5 \\ \sf{\implies} \:25$

Discounted Amount = Rs. 25

$\sf{\implies} \:500 - 25 \\ \sf{\implies} \:475$

Selling Price of the Article = Rs. 475

$\rule{300}{1.5}$

★ ${\boxed{\sf\:{CP = \frac{100}{(100 + profit\%)} \times SP}}}$

$\sf{\implies} \: CP = \frac{100}{100 + 25} \times 475 \\\sf{\implies} \: CP = \frac{100}{125} \times 475 \\ \sf{\implies} \: CP = \frac{47500}{125} \\ \sf{\implies} \: CP =380$

Cost Price = Rs. 380

$\therefore$ The Cost Price of the Article is Rs. 380.