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Which of the following statements are equivalent to the statement "price increased by 1/2 of what is it was before"?

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 of what it was before
(D) The price became a half of what it was before
(E) The price is now 1.5 greater than 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

2 Answers

2 votes

Answer:

B

Step-by-step explanation:

We always look original price for 1 or 100%, now increase 1/2, that is 50%

So now it is 100%+50%=150%

User Sarath Kumar
by
7.7k points
3 votes

Final answer:

The statement 'price increased by 1/2 of what is it was before' is equivalent to the statement 'The price is 150% of the price before'.

Step-by-step explanation:

The statement "price increased by 1/2 of what it was before" means that the price has increased by half of its original value. Let's evaluate each statement to see which ones are equivalent:

A) The price doubled: This statement means that the price has increased by 100% of its original value, which is not equivalent to increasing by 1/2.

B) The price is 150% of the price before: This statement means that the price has increased by 50% of its original value, which is equivalent to increasing by 1/2.

C) The price was reduced by a quarter of what it was before: This statement means that the price has decreased by 25% of its original value, which is not equivalent to increasing by 1/2.

D) The price became a half of what it was before: This statement means that the price has decreased by 50% of its original value, which is not equivalent to increasing by 1/2.

E) The price is now 1.5 greater than what it was before: This statement means that the price has increased by 150% of its original value, which is not equivalent to increasing by 1/2.

F) The price now is 66 2/3% of what it was before: This statement means that the price has decreased by 33 1/3% of its original value, which is not equivalent to increasing by 1/2.

G) The price now is 200% of what it was before: This statement means that the price has increased by 100% of its original value, which is not equivalent to increasing by 1/2.

H) The price is 75% of what it was before: This statement means that the price has decreased by 25% of its original value, which is not equivalent to increasing by 1/2.

From the above analysis, we can conclude that only statement B is equivalent to the given statement.

User Honerlawd
by
6.6k points