SAT Math : Arithmetic
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Example Questions
Example Question #2 : Profit Margin
A craftsman builds a cabinet. He pays $250 to buy the wood and miscellaneous materials for the cabinet. He spends 20 hours building the cabinet. If he values his time at $40 per hour and expects a profit margin of 50% above labor and materials, how much should he charge for the cabinet?
Total Cost = Material Cost + Labor Cost + Profit
Labor Cost = $40/hour * 20 hours = $800
Profit Margin of 50% = Cost x 0.50 = $1050 x 0.50 = $525
Total Cost = $250 + $800 + $525 = $1575
Example Question #25 : Monetary Percentage
The cost of manufacturing a single teddy bear is $6.25. A teddy bear company sells 200 bears for $1750. What is the profit percentage per single bear?
28%
40%
140%
60%
72%
40%
First we must find out what the price is for one teddy bear, manufactured by this company. Thus we divide 1750 by 200 and find that each bear costs $8.75. To find out the profit per bear, we divide 8.75 by 6.25 to arrive at 1.4. The bears are thus sold for 140% of what it costs to make them, giving a 40% profit.
Example Question #1225 : Sat Mathematics
A bakery sells donuts for 
Donuts are priced at $1.25 per unit and 230 were sold, so net income is calculated as such:
Cost of materials and tax are calculated as such, respectively:
Net profit is calculated by deducting cost of materials and tax from net income:
Example Question #175 : Percentage
A fishing boat in Alaska nets 
Of the $85,000 in revenue, five crew members and local taxes each take a 3% cut, the total of which is calculated as:
Next, we just subtract the expenses from tax and crew-member pay to determine net profit:
Example Question #1 : How To Find The Decimal Equivalent Of A Fraction
0.3 < 1/3
4 > √17
1/2 < 1/8
–|–6| = 6
Which of the above statements is true?
1/2 < 1/8
–|–6| = 6
0.3 < 1/3
4 > √17
0.3 < 1/3
The best approach to this equation is to evaluate each of the equations and inequalities. The absolute value of –6 is 6, but the opposite of that value indicated by the “–“ is –6, which does not equal 6.
1/2 is 0.5, while 1/8 is 0.125 so 0.5 > 0.125.
√17 has to be slightly more than the √16, which equals 4, so“>” should be “<”.
Finally, the fraction 1/3 has repeating 3s which makes it larger than 3/10 so it is true.
Example Question #1 : How To Find The Decimal Equivalent Of A Fraction
How much less is 
Example Question #1 : Decimals With Fractions
The ogre under the bridge eats 
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
Example Question #2 : How To Find The Decimal Equivalent Of A Fraction
Which of the following numbers is between 1/5 and 1/6?
0.22
0.25
0.19
0.16
0.13
0.19
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Example Question #2 : Decimals With Fractions
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
2/7
1/10
3/5
9/15
8/9
2/7
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Example Question #3 : Decimals With Fractions
0.04
0.07
0.10
0.05
0.01
0.07
Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.
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