Last season, a pair of jeans cost $42.95. This season, the price of the jeans increased by 25 percent. Later in the season, the jeans were put on sale for 25 percent off. First, guess. What do you think the sale price will be? Why? Then, calculate: How much did the jeans cost at the beginning of this season? What was their sale price? Did you get the sale price you were expecting? Why or why not? Consider what the jeans would cost if they had gone on sale by 25% first, and then had their price increased by 25%. First guess. What do you think the jeans will cost this time? Why? Then, calculate: How much will the jeans cost this time? Did you get the answer you were expecting? Why or why not?

Question

contestada

Respuesta :

Palky Palky · Answer 1 · 2020-11-29T14:52:42+01:00

Answer:

42.95 first price hiked 25%, then discounted by 25% : Final price = 40.28

42.95 first discounted by 25%, then price hiked by 25% : Final price = 40.27

Both are same (approx) because of same mathematical treatment

Step-by-step explanation:

Last season price = 42.95

This season increase in price = 25% of 42.95 = 10.73

Jeans price at beginning of this season = 53.68

Discount on sale price, this season = 25% of 53.68 = 13.42

Discounted jeans price this season = 53.68 - 13.42 = 40.28

Last season price = 42.95

Discount on previous price = 25% of 42.95 = 10.73

Jeans price this season = 42.95 - 10.73 = 32.22

Price hike this season = 25% of 32.22 = 8.05

New jeans price this season = 32.22 + 8.05 = 40.27

The same answer is got in both cases. As, mathematically, they are same. 1st : 75% of (125% of 42.95) & 2nd : 125% of (75% of 42.95)