###### Advertisements

###### Advertisements

A man sells an article at a profit of 25%. If he had bought it at 10% less and sold it for Rs 7 less, he would have gained 35%. Find the cost price of the article.

###### Advertisements

#### Solution

Let ₹ ‘x’ be the C.P. of the article

∴ The article was sold at 25% profit

∴ S.P. of the article = `"x"(1 + 25/100)`

= `"x"(1 + 1/4)`

= `"x" xx 5/4`

= 1.25 x

If the article was bought at a 10% loss

i.e. the new C.P. = `"x"(1 - 10/100)`

= `"x"(9/10) = 0.9"x"`

and sold at ₹ 7 less

∴ New S.P. = 1.25 x – 7

Then, the profit would have been 35%

Using profit percentage = `("S.P. - C.P.")/"C.P." xx 100`

∴ `35 = ((1.25"x" - 7) - 0.9"x")/(0.9"x") xx 100`

∴ `35/100 = (0.35"x" - 7)/(0.9"x")`

∴ `7/20 = (0.35"x" - 7)/(0.9"x")`

∴ 6.3x = 20(0.35x - 7)

∴ 6.3x = 7x − 140

∴ 7x − 6.3x = 140

∴ 0.7x = 140

∴ x = `140/0.7`

∴ x = 200

∴ Cost price of the article is ₹ 200

#### APPEARS IN

#### RELATED QUESTIONS

Mr. Sarad purchased a laptop for Rs. 24000 and sold it for Rs. 30000. What was the profit percentage?

Shraddha purchases a mobile phone and refrigerator for Rs. 18000 and 15,000 respectively. She sold the refrigerator at a loss of 20% and the mobile at a profit of 20%. What is her overall profit or loss?

The percentage profit earned by selling an article for Rs. 2880 is equal to the percentage loss incurred by selling the same article for Rs. 1920. At what price the article should be sold to earn a 25% profit?

A cloth merchant advertises selling cloth at a 4% loss. By using a faulty meter scale, he is earning a profit of 20%. What is the actual length of the scale?

Sunil sells his bike worth Rs. 25000 to Rohit at a profit of 20%. After 6 months Rohit sells the bike back to Sunil at a loss of 20%. Find the total profit percent of Sunil considering both the transactions.

By selling a book at Rs. 405 bookseller incurs a loss of 25%. Find the cost price of the book.

Ashwin buys an article for Rs. 500. He marks it for sale at 75% more than the cost price. He offers a 25% discount on the marked price to his customer. Calculate the actual percentage of profit made by Ashwin.

The combined cost price of a refrigerator and a mixture is Rs. 12400. If the refrigerator costs 600% more than the mixer, find the cost price of the mixture.

Find the single discount equivalent to the discount series of 5%, 7%, and 9%.

Amar, a manufacturer, gives a discount of Rs. 25% on the list price to his distributor Akbar, Akbar sales at a 10% discount on the list price to his customer Anthony. Anthony paid Rs 540 for the article. What is the profit percentage of Akbar on his cost price?

A man sells an article at a profit of 25%. If he had bought it at 10% less and sold it for Rs 7 less, he would have gained 35%. Find the cost price of the article.

A cloth costs Rs. 675. If it is sold at a loss of 20%, what is its cost price as a percentage of its selling price?

A man buys a house for Rs 10 lakh and rents it. He puts 10% of the annual rent aside for repairs, Pays Rs. 1000 as annual taxes and realizes 8% on his investment thereafter. Find the annual rent of the house.

Ankita's Salary was reduced by 50%. Again the reduced salary was increased by 50%. Find loss in terms of percentage.

Find the single discount equivalent to a series discount of 10%, 20%, and 15%.

A, B, and C enter into a partnership. A invests 3 times as much as B invests and B invests two-thirds of what ‘C’ invests. At the end of the year, the profit earned is Rs. 8800. What is the share of ‘B’?

The ratio of investment of two partners Santa and Banta is 11 : 12 and the ratio of their profits is 2 : 3. If Santa invested the money for 8 months, then for how much time Banta his money?