Percentage Word Problems

Front

What is a percentage?

Back

A percentage is a fraction expressed as a part of 100. It represents how much of something there is in relation to a whole.

Front

How do you calculate the percentage of a number?

Back

To calculate the percentage of a number, multiply the number by the percentage (in decimal form) and then divide by 100.

Tags

CCSS.6.RP.A.3C

Front

What does '30% off' mean?

Back

'30% off' means that the price is reduced by 30% of the original price.

Front

If a laptop is on sale for 30% off and the sale price is $700, how do you find the original price?

Back

Let the original price be x. The equation is x - 0.30x = 700, which simplifies to 0.70x = 700. Thus, x = 1000.

Front

What is the formula to find the new price after a percentage increase?

Back

New Price = Original Price + (Percentage Increase × Original Price) or New Price = Original Price × (1 + Percentage Increase in decimal).

Tags

CCSS.6.RP.A.3C

Front

If a product's original price is $80 and it is increased by 25%, what is the new price?

Back

New Price = 80 + (0.25 × 80) = 80 + 20 = $100.

Tags

CCSS.6.RP.A.3C

Front

What does '20% off' mean for a shirt that costs $40?

Back

'20% off' means the shirt's price is reduced by 20% of $40, which is $8. The sale price is $40 - $8 = $32.

Tags

CCSS.6.RP.A.3C

Front

How do you calculate the number of students who failed an exam if 60% passed out of 200 students?

Back

If 60% passed, then 40% failed. Calculate 40% of 200: 0.40 × 200 = 80 students failed.

Tags

CCSS.6.RP.A.3C

Front

What is the total amount to be paid if a restaurant bill is $80 and a 15% tip is added?

Back

Tip = 15% of $80 = 0.15 × 80 = $12. Total amount = $80 + $12 = $92.

Tags

CCSS.6.RP.A.3C

Front

What is the relationship between percentages and fractions?

Back

Percentages can be converted to fractions by placing the percentage over 100 and simplifying.