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. 

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6