# GRE percentages / discount question

The following is a practice question from a GRE preparation book.

A case of $100$ candy bars is sold at a discount of $\$0.36$per bar. Quantity A: the discount per case Quantity B: 36% (a) A is greater (b) B is greater (C) The two quantities are equal (d) The relationship cannot be determined from the information given My approach: Quantity B is 36%, which is simply 0.36 Quantity A is 0.36 * 100 = 36 Therefore A > B. However the answer I'm given is D. Where have I made a mistake? • You don't know what a bar costs, so you don't know the percent discount. – dxiv Jan 7 '18 at 7:24 • Perhaps I don't understand the meaning of 'discount per case' clearly. Should not just mean the discount per 100 bars? Why is the % discount relevant? – rayanisran Jan 7 '18 at 7:37 • Your answer would have been correct if Quantity B had said$\,\$0.36\,$, instead. But it does not, it says $\,36\%\,$, which is presumbaly to be interpreted as the percent discount off a box of candies. – dxiv Jan 7 '18 at 7:40
• Was subtle to me. Thanks. – rayanisran Jan 7 '18 at 7:50

## 1 Answer

The discount per case means the price after discount. However, the discount per case is the discounted amount divided by the total amount. Since only the discounted amount is known (\$36), you cannot find the discount per case. Per case indicates that you know how much the case costs in the first place.

• I am failing to understand how discount per case means the price after discount. How does 'discount per case' not mean 'discount per 100 bars', i.e. the total discount for 100 bars? – rayanisran Jan 7 '18 at 7:36
• I think they want you to give it in terms of a percentage discount seeing that Quantity B is a percentage – Harry Alli Jan 7 '18 at 7:40
• That makes sense. Thanks. – rayanisran Jan 7 '18 at 7:51