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Percent of an Amount - Word Problems>
Percent of an Amount – Word Problems 2Percent of an Amount – Word Problems 2
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Question 1 of 5
1. Question
George decided to donate `7%` of his money to charity. If he has a total of `$4500`, how much will he be giving to the charity?- `$` (315)
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First, list down the known values.`\text(George’s total money)=$4500``\text(Percentage of amount to be donated)=7%`To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.`7%``times``4500` `=` `7/100times4500/1` Convert values to fraction form `=` `7/1times45/1` Simplify `=` $$\frac{7\times45}{1}$$ `=` `315` Hence, George will be donating $$\underline{$315}$$ to charity.`$315` -
Question 2 of 5
2. Question
`70%` of a class consisting of `30` students passed a math test. How many of the students passed?- (21) `\text(students)`
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First, list down the known values.`\text(Total number of students)=30``\text(Percentage of students who passed)=70%`To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.`70%``times``30` `=` `70/100times30/1` Convert values to fraction form `=` `7/1times3/1` Simplify `=` $$\frac{7\times3}{1}$$ `=` `21` Hence, $$\underline{21\;\text{students}}$$ passed the math test.`21 \text(students)` -
Question 3 of 5
3. Question
Alice spends `60%` of her total weekly income. If she earns `$880` every week, how much is she spending?- `$` (528)
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First, list down the known values.`\text(Alice’s weekly earning)=$880``\text(Percentage of money to be spent)=60%`To get the percentage of an amount, simply solve for their product. Use fractions for easier computation.`60%``times``880` `=` `60/100times880/1` Convert values to fraction form `=` `6/1times88/1` Simplify `=` $$\frac{6\times88}{1}$$ `=` `528` Hence, Alice will be spending $$\underline{$528}$$.`$528` -
Question 4 of 5
4. Question
A real estate agent gets `3%` commission on the first $$$90{,}000$$ on the value of a home and he gets an additional `1.5%` commission for the remaining balance. How much commission in total will he earn if he sells a home valued at $$$690{,}000$$?- `$` (11700)
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A commission is expressed as a percentage of the value of goods sold.First, draw a line diagram to further understand the given values.
Solve for the remaining balance by subtracting $$$90{,}000$$ from the value of the house, which is $$$690{,}000$$.`\text(Remaining Balance)` `=` $$$690{,}000-90{,}000$$ `=` $$$600{,}000$$ 
Next, solve the commission for the first $$$90{,}000$$ of the value, which will be `3%`.$$$3\%\times90{,}000$$ `=` $$\frac{3}{100}\times\frac{90{,}000}{1}$$ Convert values to fraction form `=` `3/1times900/1` Simplify `=` `$2700` Then, solve the commission for the rest of the value, which will be `1.5%`.$$$1.5\%\times600{,}000$$ `=` $$\frac{1.5}{100}\times\frac{600{,}000}{1}$$ Convert values to fraction form `=` `1.5/1times6000/1` Simplify `=` `$9000` Finally, add the two commissions to get the total commission`\text(Total Commission)` `=` `2700``+``9000` `=` $$$11{,}700$$ Hence, the real estate agent will get a total commission of $$\underline{$11{,}700}$$.$$$11{,}700$$ -
Question 5 of 5
5. Question
A school has `400` students. `28%` of them travel to school by bus. How many travel to school without a bus?- (288) `\text(students)`
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First, summarise the data and draw a diagram for easier understanding of the problem`\text(Total students)=400``\text(Percentage of students taking the bus)=28%``\text(Percentage of total students)=100%``\text(Percentage of students not taking the bus)=?`
Next, find the percentage of students that don’t take the bus.Do this by subtracting the percentage of students that take the bus `(28%)` from `100%``% \text(of students that don’t take the bus)` `=` `100``-``28` `=` `72%` `72%` of the students don’t take the bus.Finally, multiply the percentage to the total number of students which is `400``\text(Students that don’t take the bus)` `=` `72%``times``400` `=` `72/100xx400/1` Convert values to fraction form `=` `72/1xx4/1` Cancel the zeros `=` $$\frac{72\times4}{1}$$ `=` `288/1` `=` `288` students Hence, $$\underline{288\;\text{students}}$$ don’t take the bus.`288` students
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