# Number Reasoning problem

PersonA bought a Camera at an electronics show with the intention of reselling it at a 30% profit. However, he misjudged the value of the Camera and could only sell it at a 35% loss. If PersonA decided to sell the Camera for $728, how much did he actually sell it for? I found this problem from a GRE Question pattern, I do find the answer. I am trying to find easiest and quickest method to solve these kind of problems. We are restricted to time duration on solving critical reasoning problems. • Thank @anon for tagging it correctly ! Mar 27, 2012 at 20:13 ## 1 Answer The intended selling price was$728$. This is$1.3$times the buying price. So the buying price was$\dfrac{728}{1.3}$. The selling price was buying price times$0.65$, that is,$\dfrac{728}{1.3}\times 0.65$. But$0.65$is half of$1.3$, so we just divide$728$by$2$, getting$364\$.

Remark: One should not start to multiply, divide too early, since problem-setters often arrange for convenient cancellations. Even when there are not, premature calculation is not a good idea, for it turns something that has structure into a jumble of digits.

• Remark seconded. Mar 27, 2012 at 20:17
• @Andre thanks , your step took me less than a min to come into conclussion Mar 27, 2012 at 20:17