The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.
| Question | The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article. | |
| Type | multiple_choice | |
| Option | 40 | correct |
| Option | 60 | incorrect |
| Option | 80 | incorrect |
| Option | 100 | incorrect |
| Solution | C.P = Profit %, S.P = 56 (given) Let C.P = Profit % = x Apply formula: S.P = ((100 + Profit %)/100) * C.P 56 = ((100 + x)/100) * x x2 + 100x = 5600 x2 + 100x -5600=0 Now calculate the factors. x2+ 140x – 40x- 5600=0 (x+140)(x- 40)=0 x= -140 and +40. -ve value is not valid, so the x=40 So, C.P = Profit% = 40 | |