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Which of the following statements are equivalent to the statement "price increased by 100%"?

Choose all correct answers.

(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Plssss help me!!

Respuesta :

Louli
Answers:
(A) The price doubled
(G) The price now is 200% of what it was before

Explanation:
Assume that the original price of the product is x. Therefore, x represents 100% of the original price.

Now, we are given that:
The price increased by 100%

This means that:
new price = old price + 100% of old price
new price = x + 100% (x) 
new price = 2x
Thus, we can note that the price is doubled

We know that x represents 100% of the price of the product.
Therefore:
new price = x + x = 100% + 100% = 200%
This means that the new price is 200% of the old price

Notes:
Options C,D, F and H are incorrect because they represent a decrease in the price while we know that the price increased
Options B and E are incorrect because they represent an increase of 50% in the price while we know that the increase is 100%

Hope this helps :)

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