Tuesday, December 30, 2014

1:27 PM

Percentage Practice Questions 


1) If a sweater sells for $48 after a 25% markdown, what was its original price?

A) $56
B) $60
C) $64
D) $68
E) $72

2. A hardware store is selling a lawnmower for $300. If the store makes a 25% profit on the sale, what is the store's cost for the lawnmower?

A) $210
B) $225
C) $240
D) $250
E) $275

3) A retailer marked up the cost of a coat by 20% when she first displayed it in her store, After several weeks, she reduced the selling price of the coat by 25%. If the retailer originally paid $50 for the coat, what will be her loss on the coat at the final price?

A) $0
B) $5
C) $l0
D) $15
E) $20


Answers and Explanations


1. Answer : C

The price after a 2S% markdown is S48, so $48 is 75% of the original price.

Percent x Whole = Part

75% x Original Price = $48

0.75 x Original Price = $48

Original Price = 48 / 0.75

Original Price = $64

The original price was $64, which is Choice (C)


2. Answer : C

The selling price of $300 represents 100% of the store's cost plus 25% of the store's cost.

Use 0.25 x Cost to represent the profit in an equation; solve for the cost.

Selling price = Cost + Profit
Selling price = 1 x Cost + 0.25 x Cost
$300 = 1 x cost + 0.25 x Cost
$300 = 1.25 x Cost
$300/ 1.25 = Cost

Cost = $240

The store's cost for the lawnmower was $24O, choice (C).


3. Answer : B

The retailer first set the selling price of the coat at 120% of cost: 1.20 x $50 = $60.
Later, she reduced the selling price by 25%: 0.75 x $60 = $45. She will lose $5 selling the coat at that price.

Choice (B) is correct

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