FINDING PERCENT INCREASE WORKSHEET
Finding Percent Increase Worksheet :
Worksheet given in this section will be much useful for the students who would like to practice solving problems on percentage increase.
Finding Percent Increase Worksheet - Problems
Problem 1 :
Due to increase in demand, the price of an item is increased from 80 cents to 1.4 dollars. Find the percentage increase in price.
Problem 2 :
Sally is in a long-jump competition. Her first jump and second jump are 5.6m and 6.3m respectively. Find the percentage increase in her jump length.
Problem 3 :
6 months ago the height of a plant was 12 inches and. The height of the plant today is 4 feet. Find the percentage change in height.
Problem 4 :
The length and width of a rectangle are increased by 10% and 5% respectively. Find the percentage increase in area.
Problem 5 :
In a triangle, if the height is increased by 50%, what percentage of the area will be increased ?
Finding Percent Increase Worksheet - Solutions
Problem 1 :
Due to increase in demand, the price of an item is increased from 80 cents to 1.4 dollars. Find the percentage increase in price.
Solution :
Amount of change = 1.4 dollars - 80 cents
= 140 cents - 80 cents
= 60 cents
Percentage change is
= (Amount of change / Original amount) x 100 %
= (60 / 80) ⋅ 100%
= 75%
So, the percentage increase in price of the item is 75.
Problem 2 :
Sally is in a long-jump competition. Her first jump and second jump are 5.6m and 6.3m respectively. Find the percentage increase in her jump length.
Solution :
Amount of change = Greater value - Lesser value
= 6.3 - 5.6
= 0.7
Percentage change is
= (Amount of change / Original amount) x 100 %
= (0.7 / 5.6) ⋅ 100%
= 12.5%
So, the percentage increase in her jump length is 12.5.
Problem 3 :
6 months ago the height of a plant was 12 inches and. The height of the plant today is 4 feet. Find the percentage change in height.
Solution :
Amount of change :
= 4 feet - 12 inches
= (4 ⋅ 12) inches - 12 inches
= 48 inches - 12 inches
= 36 inches
Percentage change is
= (Amount of change / Original amount) ⋅ 100 %
= (36 / 12) ⋅ 100%
= 3 ⋅ 100%
= 300%
So, the height of the plant is increased by 300%.
Problem 4 :
The length and width of a rectangle are increased by 10% and 5% respectively. Find the percentage increase in area.
Solution :
Let l and w be the original length and width of the rectangle.
Then, the area is lw.
After the length and width of the rectangle are increased by 10% and 5% respectively, the area is
= (1.1l)(1.05w)
= 1.155lw
Amount of change = Greater value - Lesser value
= 1.155lw - lw
= 0.155lw
Percentage change is
= (Amount of change / Original amount) ⋅ 100 %
= (0.155lw / lw) ⋅ 100%
= 0.155 ⋅ 100%
= 15.5%
So, the area of the rectangle will be increased by 15.5%.
Problem 5 :
In a triangle, if the height is increased by 50%, what percentage of the area will be increased ?
Solution :
Let b and h be the original base and height of the triangle respectively.
Then, the area of the triangle is
= bh / 2
= 0.5bh
If the height is increased by 50%, then the area of the triangle is
= b(1.5h) / 2
= 1.5bh / 2
= 0.75bh
Amount of change :
= 0.75bh - 0.5bh
= 0.25
Percentage change is
= (Amount of change / Original amount) ⋅ 100 %
= (0.25bh / 0.5bh) ⋅ 100%
= (0.25 / 0.5) ⋅ 100%
= 50%
So, the area of the triangle will be increased by 50%.
After having gone through the stuff given above, we hope that the students would have understood, how to do problems on percentage increase.
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