A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods.
| Question | A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods. | |
| Type | multiple_choice | |
| Option | 500 | correct |
| Option | 600 | incorrect |
| Option | 400 | incorrect |
| Option | 200 | incorrect |
| Solution | Let the C.P of an article is 100. ATQ, S.P will be 110……………………………………………… (i) If he has purchased it at 20% less, the new C.P = 100 – 20= 80 If the C.P is 80, then he earns a profit of 40% and sells the article at Rs 10 more than the previous price. So, when he earns 40%, the new C.P = (40/100) * 80 = 32 That means if the C.P = 80, the S.P = 80+32 = 112………………………. (ii) Compare equation 1 and 2, and we get the difference between S.P is = 2 But ATQ, it should be 10, i.e., multiple of 5 So, we need to multiply the actual value with 5 then we get actual cost price. Hence, the C.P of the article is = 100 * 5 = 500 | |