GED Math : Proportions and Percentages
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Example Questions
Example Question #31 : Proportions And Percentages
Currently, Brian pays $865 a month for his rent. Monthly rent is due to increase by 12% starting next month. Rounded to the nearest dollar, how much will he pay then?
12% of $865 is
Add that amount to the current rent:
This rounds to $969, the correct choice.
Example Question #32 : Proportions And Percentages
Thomas’s current yearly salary is $44,000 per year. After an 8% raise, what will his new salary be?
8% of Thomas's salary of $44,000 is
Add this to the original salary:
Example Question #33 : Proportions And Percentages
Refer to the above diagram. The circles are of equal size and the portions of each circle are of equal size.
If the unshaded portion of the above diagram were to be shaded, then, to the nearest tenth, by what percent would the area of the shaded region increase?
At current, 27 regions of equal size are shaded. If the remainder of the diagram were shaded, this would increase the size of the shaded portion by 5 regions of the same size. Therefore, we need to calculate what percent 5 is of 27. This is an increase in area of
Example Question #34 : Proportions And Percentages
Greg deposits $9,000 at 7% simple interest per year. How much will he have in this account after eighteen months, assuming he does not make any withdrawals or deposits?
Use the simple interest formula
with 
This is the simple interest earned. Add it to the original principal:
Example Question #35 : Proportions And Percentages
If 
of the circle is white.
Since 
this amount converts to 
Example Question #36 : Proportions And Percentages
Refer to the above diagram. The portions of the large rectangle are of equal size.
If the unshaded portions of the above diagram were to be shaded, then, to the nearest tenth, by what percent would the area of the shaded region increase?
At current, 14 regions of equal size are shaded. If the remainder of the squares were shaded, this would increase the size of the shaded portion by 6 regions of the same size. Therefore, we need to calculate what percent 6 is of 14. This is an increase in area of
Example Question #37 : Proportions And Percentages
Gerald's current monthly rent is $720. His rent will increase by 20% starting in January; it will increase by $50 starting in July. How much rent will Gerald pay from January to December?
If Gerald's current rent is $720, then a 20% increase in rent will be an increase of
This makes Gerald's rent from January to June
His rent from July to December will be $50 more than this, or
Over the next year, Gerald will pay $864 in monthly rent for six months, then $914 in monthly rent for six months. This is
in rent total.
Example Question #31 : Proportions And Percentages
Quinn invests $6,000 in stocks and bonds. He invests 60% of the money in corporate bonds which, over the next year, return 8%. The remainder, he invests in a preferred stock, which ends up producing a loss of 4%. How much money has Quinn gained or lost from his investments?
Quinn has lost $384
Quinn has gained $384
Quinn has gained $192
Quinn has lost $192
Quinn has gained $192
60% of 6,000 is 
Quinn invests 
Quinn has a net gain of
from his investments.
Example Question #39 : Proportions And Percentages
Seven tenths of three fourths of 
Seven tenths of three fourths of 
Example Question #71 : Complex Operations
What is 40% of 80% of 
80% of 
40% of this is 
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