Question

An article is sold at rupees 5225 after allowing a discount of 15%. Find market price of articles.​

Answer 1

★ Before solving this problem we must have the following information:-

• Market price

The market or listed or marked price of an article is the price printed on the article itself or on the packaging or on a slip attached to the article. In general, the dealer sells articles to the buyer at this price.

• Discount

When a dealer sells an article for a price that is lower than the MP(marked price), the difference b/w the MP and the SP(selling price) is called the discount.

• Selling price

The price at which a dealer sells an article is called selling price or SP.

✫ Let's solve your problem,

☯︎ Given that:

• Selling price = 5225

• Discount = 15%

☯︎ To find:

• The market price of articles

☯︎ Solution

︎ We know that,

$\sf{SP= (1 - \frac{d}{100}) \times MP }$

$\sf \rightsquigarrow \: \: {Rs \: 5225 = (1 - \frac{15}{100} \times MP)}$

$\sf \rightsquigarrow \: \: {Rs \: 5225 = (\frac{85}{100} \times \: MP)}$

$\sf \rightsquigarrow \: \: {So, \: MP = \frac{100}{85}\times Rs \: 5225}$

$\sf \rightsquigarrow \: \: = {Rs \: 6147.05882}$

$\sf{ \therefore \:Market \: price \: is \: Rs. \: 6,147.05882 }$