# Thread: problem i'm having trouble with

1. ## problem i'm having trouble with

A store currently charges the same price for each towe that it sells. If the current price of each towel were to be increased by \$1, 10 fewer of the towels could be bought for \$120, excluding sales tax. What is the current price of each towel?
(A) \$1
(B) \$2
(C) \$3
(D) \$4
(E) \$12

I don't understand the phrase "10 fewer of the towels could be bought for \$120" so this one completely threw me off. (Taken from PowerPrep CAT 2)  Reply With Quote

2. ## Re: problem i'm having trouble with

I actually worked backwards using the answer choices instead of using an equation.

At \$3, you can buy 40 towels right?
Now if the price is increased to \$4, you can buy 30 towels now for \$120.  Reply With Quote

3. ## Re: problem i'm having trouble with

Yes Ritesh's method is the shortcut.

The long method is ..

let number of towels bought for \$120 = n
so price of a single towel = \$ 120 / n

now price of 1 towel increases by \$ 1
so new price of a single towel = \$ (120 / n) + 1
no. of towel that could be bought at this price = n - 10
so new price of a single towel = \$ 120 / (n -10)

so equating

so (120/n) + 1 = 120 / (n - 10)
(120 + n) / n = 120 / (n - 10)
n^2 -10n - 1200 = 0
(n-40)(n+30) = 0
n = 40 or n = -30
n= 40 = number of towels that could be bought at current price.

=> current price per towel = \$ 120 / 40 = \$ 3

so ans is C  Reply With Quote

4. ## Re: problem i'm having trouble with

ya
even i use the plugging in method ..
its 3  Reply With Quote

5. ## Re: problem i'm having trouble with        Reply With Quote

6. ## Re: problem i'm having trouble with

Soory guy, I confused this question with another one in my test.  Reply With Quote