Two sweaters are originally the same price. Both are discounted 10%. Then one of the sweaters is discounted an additional 10%. 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

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:-

But additional 10% discount given to the cheaper sweater, hence the price of cheaper sweater will be:-

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 =

Thus, 23.45%  price would be increased to make the sweaters once again sell for the same price.

they are simplified

step-by-step explanation: