SAT Math : SAT Mathematics
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Example Questions
Example Question #171 : Percentage
During Laura and Anna’s bake sale, 35 brownies, 12 cupcakes and 23 glasses of lemonade were sold. These goods cost $44 for the raw ingredients, and they sold for $79. What is the average profit per item?
$0.70
$0.25
$0.35
$0.50
$1.75
$0.50
Total profit ($35) divided by total items (70) yields the answer of $0.50 profit per item.
Example Question #1221 : Sat Mathematics
Each wooden chair that a carpenter makes requires $20 worth of supplies. He then sells the chairs for $50 each. The carpenter recently discovered a new supplier that would allow him to spend 25% less on supplies. If he doesn't change his selling price, by what percent could the carpenter increase his profit by using the new supplier?
Using $20 worth of supplies and selling the chairs for $50 each, the carpenter is originally making a profit of $30 per chair.
The new supplier would reduce costs by 25% or 1/4. One-fourth of $20 is $5, so the new supplier would be $5 less, or $15.
If the selling price is the same ($50), then the carpenter would now make a profit of $35 per chair, a change of $5.
To calculate percent increase, divide the actual change in profit by the original profit amount, and multiply the result by 100%:
(Actual Change ÷ Original Amount) * 100% = 5/30 * 100% = 500%/30 = 16.7%
Example Question #1222 : Sat Mathematics
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 #3 : How To Find Amount Of Profit
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%
72%
140%
40%
60%
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 : Decimals
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 #1223 : Sat Mathematics
How much less is 
Example Question #2 : 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 #3 : Decimals With Fractions
Which of the following numbers is between 1/5 and 1/6?
0.25
0.13
0.16
0.22
0.19
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.
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