Find Original Amount Given Percent Change (Word Problems) Problems

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#1 of 7: Mild

Find original amount given percent change (word problems)

Mrs.Anderson bought a bunk bed for her daughters. The furniture store charged her a `16%` delivery fee to get the bed delivered and assembled. Mrs. Anderson paid a total of `$1,798` for the bunk beds and the delivery fee. What list price did she pay for just the bunk bed?

#2 of 7: Medium

Find original amount given percent change (word problems)

The value of an antique mirror has increased by `40%` since Mary bought it last year. The value of the mirror is now `$350`. What price did Mary originally pay for the antique mirror?

#3 of 7: Medium

Find original amount given percent change (word problems)

After making some renovations to his house, Ethan received calls from `34` people interested in purchasing his house. This was an increase of `70%` in the number of potential buyers from before he did the renovations. How many potential buyers did Ethan have for his house before he did the renovations?

#4 of 7: Medium

Find original amount given percent change (word problems)

Mrs. Smith spends `$216` on her electric bill during the summer months, which is `20%` more than she spends on her electric bill during the winter months. How much does Mrs. Smith spend on her electric bill each month during the winter?

#5 of 7: Spicy

Find original amount given percent change (word problems)

The water level in a reservoir is presently `52` meters deep. There has been a `23%` increase in the water level over the last `4` months. What was the depth of water in the reservoir `4` months ago? <highlight data-color="#666" data-style="italic">Round to the nearest hundredth of a meter.</highlight>

#6 of 7: Spicy

Find original amount given percent change (word problems)

An entomologist recorded the current population of bees as `45,565`. He was concerned that the bee population had dropped by `35%` when compared to last year. What was the bee population last year? <highlight data-color="#666" data-style="italic">Round to the nearest whole number.</highlight>

#7 of 7: Spicy

Find original amount given percent change (word problems)

Lina hiked several miles in the morning. In the afternoon she only hiked `6` miles, which was `45%` less than she had hiked in the morning. How many miles did Lina hike in the morning? <highlight data-color="#666" data-style="italic">Round to the nearest tenth of a mile.</highlight>

To find out the original amount given percent change, we simply need to add or subtract the percentage decrease or the percentage increase respectively by the final value. Percentage change is applicable in many real life situations and thus finding original amount after percentage change problems helps your students in relating the concept of percentage change in real-life.

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Grade 7

Percents

7.RP.A.3