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A student who makes $125 a month working part-time receives a 4% salary raise. What is the student's new monthly salary?

With a 4% raise, this student will make 100% of the original salary + 4% of the original salary. This means the new salary will be 104% of the original salary. We need to determine what part of $125 is to be taken. What part indicates percentage .

What number is 104 % of 125 Missing product statement. (percentage) = (percent) (base) P = 104 % 125 Convert to decimals. P = 1.04 125 Multiply. P = 130

Thus, this student's new monthly salary is $130.

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An article of clothing is on sale at 15% off the marked price. If the marked price is $24.95, what is the sale price?

Since the item is discounted 15%, the new price will be 100% - 15% = 85% size 12{"100% - 15% "=" 85%"} {} of the marked price. We need to determine what part of 24.95 is to be taken. What part indicates percentage .

What number is 85 % of $ 24.95 . Missing product statement. (percentage) = (percent) (base) P = 85 % 24.95 Convert to decimals. P = .85 24.95 Multiply. P = 21.2075 Since this number represents money, we'll round to 2 decimal places P = 21.21

Thus, the sale price of the item is $21.21.

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Practice set a

What number is 42% of 85?

35.7

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A sales person makes a commission of 16% on each sale he makes. How much is his commission if he makes a sale of $8,500?

$1,360

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An assembly line worker can assemble 14 parts of a product in one hour. If he can increase his assembly speed by 35%, by how many parts per hour would he increase his assembly of products?

4.9

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A computer scientist in the Silicon Valley makes $42,000 annually. What would this scientist's new annual salary be if she were to receive an 8% raise?

$45,360

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Finding the percent

Sample set b

15 is what percent of 50 ? Missing factor statement. (percentage) = (percent) (base) [(product) = (factor) ⋅ (factor)] 15 = Q 50

Recall that (missing factor) = (product) ÷ (known factor).

Q = 15 ÷ 50 Divide. Q = 0.3 Convert to a percent. Q = 30 %

Thus, 15 is 30% of 50.

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4.32 is what percent of 72 ? Missing factor statement. (percentage) = (percent) (base) [(product) = (factor) ⋅ (factor)] 4.32 = Q 72

Q = 4.32 ÷ 72 Divide. Q = 0.06 Convert to a percent. Q = 6 %

Thus, 4.32 is 6% of 72.

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On a 160 question exam, a student got 125 correct answers. What percent is this? Round the result to two decimal places.

We need to determine the percent.

125 is what percent of 160 ? Missing factor statement. (percentage) = (percent) (base) [(product) = (factor) ⋅ (factor)] 125 = Q 160

Q = 125 ÷ 160 Divide. Q = 0.78125 Round to two decimal places. Q = .78

Thus, this student received a 78% on the exam.

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A bottle contains 80 milliliters of hydrochloric acid (HCl) and 30 milliliters of water. What percent of HCl does the bottle contain? Round the result to two decimal places.

We need to determine the percent. The total amount of liquid in the bottle is

80 milliliters + 30 milliliters = 110 milliliters .

80 is what percent of 110 ? Missing factor statement. (percentage) = (percent) (base) [(product) = (factor) ⋅ (factor)] 80 = Q 110

Q = 80 ÷ 110 Divide. Q = 0.727272 . . . Round to two decimal places. Q 73 % The symbol "≈" is read as "approximately."

Thus, this bottle contains approximately 73% HCl.

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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