Respuesta :
Answer:
23.45%
Step-by-step explanation:
Given:
Two sweaters are originally the same price.
Both are discounted 10%.
Then one of the sweaters is discounted an additional 10%.
Question asked:
By approximately what percent would the price of the cheaper of the two sweaters have to be increased so that the sweaters once again sell for the same price.
Solution:
Let price of both sweaters = 100
As both are discounted 10%, hence price of sweaters will be:-
[tex]100-10\%\ of 100=100-\frac{10}{100} \times100=100-10=90[/tex]
But additional 10% discount given to the cheaper sweater, hence the price of cheaper sweater will be:-[tex]90-10\%\ of\ 90=90-\frac{10}{100} \times90=90-9=81[/tex]
Now, to find the percent price of the cheaper sweater to be increased so that the sweaters once again sell for the same price:-
Discount amount of cheaper sweater = 100 - 81 = 19
Price of cheaper sweater after additional discount = 81
Percent price to be increased to make the sweaters once again sell for the same price = [tex]\frac{19}{81}\times100=\frac{1900}{81} =23.45\%[/tex]
Thus, 23.45% price would be increased to make the sweaters once again sell for the same price.
