Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Homework Help
Start Practicing

Worksheet: Percentage Equations

In this worksheet, we will practice finding the part given its percentage and the whole or vice versa and solving problems involving percentage using proportions.

Q1:

Fill in the missing value: % of 50 is 22.

Q2:

A vase contains some flowers. 2 0 % of the flowers are pink, 4 8 % of the flowers are violet, and the rest are red. Given that the vase contains 10 pink flowers, calculate how many violet flowers and how many red flowers it contains.

  • Aviolet flowers = 4 8 , red flowers = 4 2
  • Bviolet flowers = 2 4 , red flowers = 2 6
  • Cviolet flowers = 4 8 , red flowers = 5 2
  • Dviolet flowers = 2 4 , red flowers = 1 6

Q3:

Last month, the amount that Michael spent on transportation was 8 8 % of the amount he spent on utilities. If he spent $550 on transportation, determine the amount he spent on utilities.

Q4:

The price of a mobile phone is 550 LE. After a 4 2 % discount, how much will the phone cost?

Q5:

The UK held a referendum on whether, or not, to remain a member of the European Union in 2016. 1 7 4 1 0 7 4 2 people voted to leave the EU, and 1 6 1 4 1 2 4 1 voted to remain in the EU. This represented a turnout of 7 2 . 1 5 % of eligible voters, rounded to 2 decimal places. Using these figures, calculate how many people were eligible to vote in the referendum, giving your answer correct to four significant figures.

Q6:

A man bought a washing machine for 4 396 LE, then spent a further 640 LE to repair it. He then sold the machine, making a 5 0 % loss on the total amount of money he had spent on buying and repairing it. What price did he sell the washing machine for and how much money did he lose?

  • A 5 036 LE, 2 518 LE
  • B 1 878 LE, 2 518 LE
  • C 7 554 LE, 2 518 LE
  • D 2 518 LE, 2 518 LE

Q7:

A person bought a TV set using a 5 0 % discount voucher. Given that the full price was 804 LE, how much did the person pay?

Q8:

Liam pays $70 each month for his gym subscription. Due to inflation, this amount will increase by 8 % from next month. How much will Liam pay per month after the increase?

Q9:

A school produced 450 pounds of garbage in a month. If the school wants to reduce the weight of garbage produced in the following month to 7 9 % of its weight, what should the target weight be?

Q10:

A farmer spent 492 LE on buying a goat and spent 88 LE feeding the goat until it was old enough to sell. The goat was sold for 1 1 % more than the total of the cost and feed. How much did the goat sell for?

Q11:

A store manager sold a refrigerator for 2 964 LE. Given that a 2 0 % profit was made, how much did the store manager buy the refrigerator for?

Q12:

Fill in the missing value: 2 7 % of 500 is 1 5 % of .

Q13:

Fill in the missing value: 6 1 4 % of = 2 5 .

Q14:

Ethan saves 4 0 % of his allowance each week. If he saves $84 in 3 weeks, determine his weekly allowance.

Q15:

Isabella collects stickers. With her allowance, she buys 5 stickers each week. She has worked out that her number of stickers will have increased by 2 0 % after six weeks. How many stickers does she have now?

Q16:

Increase 200 by 16%.

Q17:

During target practice, an archer shot 389 arrows. If 2 3 . 3 % of his arrows hit the bullseye, determine, to the nearest whole number, how many arrows struck the bullseye.

Q18:

There are 75 animals on a farm. If 1 2 % of the animals are cows, how many of the animals are not cows?

Q19:

Write an equation that represents 0 . 5 % of 84.8, and then solve it to the nearest tenth.

  • A 𝑛 ⋅ 0 . 5 = 0 . 8 4 8 , 𝑛 = 1 . 7
  • B 𝑛 ⋅ 0 . 5 1 0 0 = 8 4 . 8 , 𝑛 = 1 7 . 0
  • C 𝑛 8 4 . 8 = 0 . 5 , 𝑛 = 4 2 . 4
  • D 𝑛 8 4 . 8 = 0 . 5 1 0 0 , 𝑛 = 0 . 4
  • E 𝑛 ⋅ 0 . 5 = 0 . 0 8 4 8 , 𝑛 = 0 . 2

Q20:

If thirteen students missed an art class, and 8 0 % of the students were present, how many students take this class?

Q21:

A pair of headphones that originally cost $49.99 are now on sale for 2 8 % off. If Michael has $33, does he have enough money to buy the headphones?

  • ANo
  • BYes

Q22:

A shop sold an air conditioner for 14 220 LE. The shop lost 2 0 % of the price they paid for it. Calculate the loss in pounds.

Q23:

Scarlett would like a 2 5 % concentration of sulfuric acid. She has 10 liters of 1 0 % concentration. How much pure sulfuric acid must be added to the 1 0 % concentration?

Q24:

Victoria bought a coat 1 0 % off its original price. She paid $36. The given diagram can be used to find the shirt’s original price.

When dividing the shaded area into 90 equal parts, what does each part represent in dollars?

When dividing the shaded area into 90 equal parts, what does each part represent as a percent?

  • A 9 0 % of the original price
  • B 1 . 1 1 % of the original price
  • C 9 % of the original price
  • D 1 % of the original price

Q25:

According to some studies, in the last century ninety percent of lions have disappeared in Africa due to habitat loss, hunting, loss of prey, and other factors. Today, there are only about 2 0 0 0 0 lions in Africa; they are extinct in 26 African countries. How many lions were in Africa 100 years ago?

Related Lessons

Related Videos

Related Worksheets