Exercise 1

Of the 800 students at a school, 600 attend a field trip. What is the percentage of students who did not remain at school?

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Exercise 2

When purchasing a vehicle priced at 8,800 dollars, the sales clerk awards a discount of 7.5%. How much will the final cost of the vehicle be?

Exercise 3

The price of a computer is 1,200. How much will a customer need to pay in total if the tax is 16%?

Exercise 4

If a monitor is priced at 450 dollars and the store manager awards a discount of 8%, how much will the customer pay?

Exercise 5

An item is sold for 15% more than it cost the retailer to acquire the item. If it was sold to the retailer for 80 dollars, determine the price that the customer paid.

Exercise 6

What is the price that a retailer has to charge on an item acquired for 180 dollars in order to make a profit of 10%?

Exercise 7

What is the sale price that a retailer has to put on an article originally priced at 280 dollars to reduce it by 12% for an upcoming sale?

Exercise 8

An object is sold during a "20% off" sale. Find the sale price of that item if its original price was 150 dollars.

 

Solution of exercise 1

Of the 800 students at a school, 600 attend a field trip. What is the percentage of students who did not remain at school?

\frac { 800 }{ 100 } = \frac { 600 }{ x } \qquad x = \frac { 600 \times 100 }{ 800 } = 75%

 

Solution of exercise 2

When purchasing a vehicle priced at 8,800 dollars, the sales clerk awards a discount of 7.5%. How much will the final cost of the vehicle be?

100 - 7.5 = 92.5

\frac { 100 }{ 8,800 } = \frac { 92.5 }{ x } \qquad x = \frac { 8,800 \times 92.5 }{ 100 } = 8,140 dollars

 

Solution of exercise 3

The price of a computer is 1,200. How much will a customer need to pay in total if the tax is 16%?

\frac { 100 }{ 1,200 } = \frac { 116 }{ x } \qquad x = \frac { 1,200 \times 116 }{ 100 } = 1,392 dollars

Solution of exercise 4

If a monitor is priced at 450 dollars and the store manager awards a discount of 8%, how much will the customer pay?

\frac { 100 }{ 450 } = \frac { 92 }{ x } \qquad x = \frac { 450 \times 92 }{ 100 } = 414 dollars

 

Solution of exercise 5

An item is sold for 15% more than it cost the retailer to acquire the item. If it was sold to the retailer for 80 dollars, determine the price that the customer paid.

\frac { 100 }{ 80 } = \frac { 115 }{ x } \qquad x = \frac { 115 \times 80 }{ 100 } = 92 dollars

 

Solution of exercise 6

What is the price that a retailer has to charge on an item acquired for 180 dollars in order to make a profit of 10%?

Sell Buy
110 dollars 100 dollars
x 180 dollars

\frac { 100 }{ x } = \frac { 100 }{ 180 } \qquad x = \frac { 180 \times 110 }{ 100 } = 198 dollars

 

Solution of exercise 7

What is the sale price that a retailer has to put on an article originally priced at 280 dollars to reduce it by 12% for an upcoming sale?

Sell Buy
100 dollars 112 dollars
x 280 dollars

\frac { 100 }{ x } = \frac { 112 }{ 280 } \qquad x = \frac { 280 \times 100 }{ 112 } = 250 dollars

 

Solution of exercise 8

An object is sold during a "20% off" sale. Find the sale price of that item if its original price was 150 dollars.

\frac { 100 }{ 150 } = \frac { 80 }{ x } \qquad x = \frac { 150 \times 80 }{ 100 } = 120 dollars

 

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.