Question

If a sweatshirt is on sale for 35% and now costs $52,
what was the original price?​

Answer 1

The original price was $70.2. (If it’s not supposed to have cents then it’s just $70).

This is because you convert 35% to 1.35. Then, you multiply 52 by 1.35. That’ll give you 70.2.

Answer 2

The original price of the sweatshirt is $80.

Explanation:

If a product is on sale for a 35% discount, then it is 65% of the original price ( because 100 - 35 = 65)

So set up a proportion,

((part)/(whole)) = ((x)/(100))

In the given information, we know that the part (the amount paid) is 52$, what we need to find is the whole. To make solving the problem easier, let's call the whole x.

((52)/(x)) = ((65)/(100))

Simplify,

52/x = 13/20

Cross multiply,

1040 = 13x

Inverse operations,

1040 = 13x

/13 /13

80 = x

So the original price of the sweatshirt is $80.