By mistake, a shopkeeper sells an article at 20% less than the original selling price and gets Rs. 150 less when compared to the original selling price. Had he sold it at the original selling price, he would have gained 20%. What is the cost price of the article?

By mistake, a shopkeeper sells an article at 20% less than the original selling price and gets Rs. 150 less when compared to the original selling price. Had he sold it at the original selling price, he would have gained 20%. What is the cost price of the article? Correct Answer Rs. 625

Given:

He sold it at the original selling price, he would have gained 20%

Calculation:

Let be assume the selling price of an article is S and the cost price is C

⇒ S - 0.80S = 150

⇒ S = 750

⇒ If he sells at the selling price then

⇒ S = C × (120/100)

⇒ 750 = C × 1.2

⇒ C = 625

∴ The required result will be 625.

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The combined cost of three articles in a shop is Rs.4200. Two article sold at profit of 25% and 12.5% and third article is sold such that there is a loss of Rs.630. What is the loss percentage incurred on third article. I. The difference between cost price of highest article and lowest article is Rs.600. The costliest article is sold at a loss.  II, The cheapest item is sold at 25% profit. The the price of one of that article is the average price of the cheapest and costliest item.