Grade 7 Math Practice Test: Percent Error, Markups, Markdowns and Commission
- Percent Error, Markups, Markdowns and Commission
- 10 questions
- 15 minutes
This test covers multi-step percent problems from stores and jobs: percent error, markups, markdowns and commission. Tip: a percent of change or error is always found by dividing by the original or actual amount, not by the new or estimated one.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Jon guessed that a jar holds 50 marbles. The jar actually holds 40 marbles. What is the percent error of his guess?
Correct answer: A
The error is 50 − 40 = 10 marbles. Divide by the actual amount: 10 ÷ 40 = 0.25 = 25%. 20% divides by the guess, 50, instead of the actual count.
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Question 2
A student measures a table as 2.4 m long. Its actual length is 2.5 m. What is the percent error?
Correct answer: D
The error is 2.5 − 2.4 = 0.1 m, and 0.1 ÷ 2.5 = 0.04 = 4%. About 4.2% comes from dividing by the measured 2.4 m instead of the actual length.
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Question 3
A store buys a lamp for $30 and marks it up 60%. What is the selling price?
Correct answer: D
The markup is 60% of $30 = $18, so the price is $30 + $18 = $48. $18 is only the markup amount.
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Question 4
A shop buys a backpack for $25 and sells it for $35. What is the percent markup?
Correct answer: C
The markup is $10, and 10 ÷ 25 = 0.4 = 40% of the store's cost. About 28.6% divides by the selling price $35, and 140% is the selling price as a percent of the cost.
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Question 5
A coat priced at $80 is marked down 35%. What is the new price?
Correct answer: A
35% of $80 is $28, and $80 − $28 = $52. Another way: the new price is 65% of $80. $28 is the discount, not the price.
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Question 6
After a 30% markdown, a pair of headphones costs $63. What was the original price?
Correct answer: A
The sale price is 70% of the original, so 0.7p = 63 and p = 63 ÷ 0.7 = $90. $81.90 adds 30% of the sale price, but the 30% was taken from the original price.
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Question 7
A salesperson earns a 6% commission on sales. This week she sold $4,500 worth of furniture. How much commission did she earn?
Correct answer: C
6% of $4,500 = 0.06 × 4,500 = $270. $27 and $2,700 put the decimal point in the wrong place, and $4,770 adds the commission to the sales.
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Question 8
Marco is paid $400 per week plus a 5% commission on his sales. Last week he sold $3,200 worth of phones. What was his total pay for the week?
Correct answer: B
The commission is 5% of $3,200 = $160, and $400 + $160 = $560. $160 is only the commission.
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Question 9
A store marks up a $50 item by 40%. Later it marks the new price down by 20%. What is the final price?
Correct answer: D
After the markup the price is $50 × 1.4 = $70. 20% off $70 is $14, so the final price is $56. $60 subtracts the percents first (40% − 20% = 20%), but the 20% is taken from $70, not from $50.
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Question 10
Dana earned an $84 commission for selling a $1,200 bike. What is her commission rate?
Correct answer: B
Rate = commission ÷ sale = 84 ÷ 1,200 = 0.07 = 7%. 14% comes from 1,200 ÷ 84 rounded, the division done the wrong way around.
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