FINDING ORIGINAL PRICE AFTER PERCENTAGE CHANGE WORKSHEET

Find the original amount given that:

Problem 1 :

After an increase of 25% the price was $250

Solution

Problem 2 :

After an increase of 35% the price was $243

Solution

Problem 3 :

After a decrease of 10% the price was ₤81

Solution

Problem 4 :

After a decrease of 17% the price was €37.35

Solution

Problem 5 :

After a decrease of 37.5% the price was 115 pesos

Solution

Problem 6 :

After a decrease of 22 1/2 % the price was $9300

Solution

Problem 7 :

‘Blacks Furniture Mart’ sells a lounge suite for $3280.50, making a profit of 35% on the cost price. How much did the business pay for the lounge suite?

Solution

Problem 8 :

A retailer sells a microwave oven for $640. This is a 25% profit on the cost price. How much did the retailer pay for the microwave oven?

Solution

Problem 9 :

An electrical firm sells a washing machine for $383.50, making a 30% profit on the wholesale or cost price. Find the wholesale price of the machine.

Solution

Problem 10 :

Jason sells a bicycle for $247 at a loss of 35%. What did Jason pay for the bicycle originally?

Solution

Answer Key

1)   $200

2)  $180

3)  ₤90

4)  €45

5)  184.

6)  $12000

7)   $2430

8)  $512

9)  $295

10)  $380

1)  A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)

Solution

2)  Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price of $7200. What did he pay for the car? (Round to nearest dollar)

Solution

3)  Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)               Solution

4)  A crew is made up of 8 men, the rest are women. 66  2/3 % of the crew are men. How many people are in the crew?

Solution

5)  Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?         Solution

6)  At a sale, shirts were sold for $15 each. This price was 80% of their original price. What was the original price?

Solution

7)  There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)              Solution

8)  The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth)              Solution

Answer Key

1) 88 problems

2) 4680

3) x = 38.69

4) 12 people

5) 1920

6) x = 18.75

7) 72%

8) 26.6 %

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