Question

Which of the following statements are equivalent to the statement "price increased by 1/2 of what 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
(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

Answer 1

(B) The price is 150% of the price before

(E) The price is now 1.5 of what it was before

Explanation:

You want to identify statements equivalent to "price increased by 1/2 of what it was before".

New price

For some initial price of p, the new price is ...

p + 1/2p . . . . price increased by 1/2 of what it was before

This can be simplified to ...

p(1 +1/2) = p(1.50) . . . . price is now 1.5 of what it was

Expressed as a percentage, the multiplier is ...

p(1.50 × 100%) = p(150%) . . . . price is 150% of the price before

The correct choices are ...

(B) The price is 150% of the price before

(E) The price is now 1.5 of what it was before

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