| Question | A person purchases some article at the rate of 4 articles for rupees 5 and sells them at the rate of 5 articles for rupees 4. Find the total profit or loss in %. | |
| Type | multiple_choice | |
| Option | 22% profit | incorrect |
| Option | 20% loss | correct |
| Option | 40% profit | incorrect |
| Option | 36% loss | incorrect |
| Solution | The C.P of 4 article is rupees 5 and selling price of 5 article is rupees 4. Note: article ratio should be the same in both cases. i.e., Article price C.P = 4 5 S.P = 5 4 As the article is same in both the cases, we should make the article equal. To make article value equal, we need to multiply C.P with 5 and S.P with 4. The change made in Article should also be performed at a price to calculate the % profit or loss. i.e., Article price C.P = 4* 5 = 20 5* 5 = 25 S.P = 5 * 4= 20 4* 4 = 16 The difference between the price of C.P and S.P is 25-16 = 9. Now, apply % formula: Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100 Note: if S.P > C.P = profit If C.P > S.P = loss Here C.P = 25, and S.P = 16 So, Loss % = (9/25) * 100 = 36% Hence, the person incurs a loss of 36%. | |
