Number 4

3 marks · Hard

An antique statue is sold for $7,480 after having lost 30% of its original value. Describe and calculate the steps needed to find the original price of the statue. Give your answer to the nearest dollar.

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

$10,686 USD (±1)

Must show: Description of method, Correct calculation

Also accept: (statue value)/(0.70) with clear working

Common mistakes: Dividing by 30 instead of 0.70; treating 30% as multiplier not complement

Show mark scheme and worked solution

Marking points

M1 · 1 mark · States or shows correct approach: the sold price is 70% (100%-30%) of original value. So original = $7,480 / 0.70.

A1 · 1 mark · Accurately performs division for original price: $10,685.71 (accept $10,686 to nearest dollar). (follow-through)

B1 · 1 mark · Clearly communicates/explains reasoning. Steps are logical and reasoning is shown.

Worked solution

Let x be the original value.

Since the statue lost 30%, the selling price is 70% of original, so 0.70 × x = 7480.