niks18Quote:
Here important point to note is that total expenses before and after changing the price remain same i.e $120.
Is this distinctly mentioned anywhere or you inferred the same?
Let me dissect sentence wise to understand:
Quote:
A store currently charges the same price for each towel that it sells.
Let there be x towels in store, this sentence means that if p is price for each towel
then px is price for total no of towels.
Quote:
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
(p+1)*(x-11) = 120
$120 is the amount after the decrease in quantity and price increase.
From where did you infer px=120 from the two statements?
Should not correct way be:
A store currently charges
total of $120and same price for each towel 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
I am assuming sales tax is simply given for confusion.
Why is 120 mentioned here? what is the constraint with 120? for example price is increased so could be the quantity resulting in a different total cost. But why 120?
For eg. if the price of 1 pen is 9 and you bought 10 pens, your total cost is 90. Now you increase the price of pen by 1 i.e new price of pen is 10 so with this 90 you will be able to buy 9 pens only. This is same as saying
Kindly read the sentence multiple times to understand the language. the current price is not directly mentioned but you can surely arrive at it from the second sentence.