![A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this ar-ticle.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/A-shopkeeper-sells-an-article-for-Rs-78-and-earns-double-the-profit-that-he-would-have-earned-on-selling-this-article-for-Rs-69.-Find-the-C.P-of-this-ar-ticle.jpg)
Question | A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article. | |
Type | multiple_choice | |
Option | 62 | incorrect |
Option | 61.5 | incorrect |
Option | 55.5 | incorrect |
Option | 60 | correct |
Solution | Apply formula: Profit = S.P – C.P ATQ, the shopkeeper earns the double profit that he would have earned had he sold it for Rs 69. Profit% = 2 (profit %) S.P – C.P = 2* (S.P – C.P) Let C.P = x 78 – x = 2 * (69 – x) 78- x= 138 – 2x x= 138 – 78 x= 60 Hence, the cost price of the article = 60. |