ESTIMATING PERCENTS WORKSHEET
Estimating Percents Worksheet :
Worksheet given in this section will be much useful for the students who would like to practice problems on estimating percents.
Before look at the worksheet, if you wish to learn the stuff estimating percents in detail,
Estimating Percents Worksheet - Problems
Problem 1 :
The price of a camera is $250. The price is increased to $262.50. Estimate what percent of the price is increased.
Problem 2 :
An item is originally priced $80. A discount is given and the item is bought for $68. Estimate what percent of discount received.
Problem 3 :
A grocery store has two recycling machines outside. The first recycle machine took in 240 plastic bottles and 180 metal cans. The second took in 30 percent more plastic bottles but 10 percent less metal cans. The second machine recycled what percent more items than the first (rounded to the nearest percent)?
Problem 4 :
Michael and Richard are partners in a business and share the profit in the ratio 2 : 3. Richard gets what percent more profit than Michael ?
Problem 5 :
The kinetic energy of an object is given by (mv2 / 2) where m is the mass and v is its velocity. A radio active element loses 15 percent of its mass and 20 percent of its velocity. By what percent has its kinetic energy decreased ?
Estimating Percents Worksheet - Problems
Problem 1 :
The price of a camera is $250. The price is increased to $262.50. Estimate what percent of the price is increased.
Solution :
Difference between the old price and new price is
= 262.50 - 250
= $12.50
Percent of change is
= (Difference in price / Old price) ⋅ 100%
= (12.50 / 250) ⋅ 100%
= 5%
So, 5% of the price of the camera is increased.
Problem 2 :
An item is originally priced $80. A discount is given and the item is bought for $68. Estimate what percent of discount received.
Solution :
To find the actual discount received, find the difference between the original price and the price after the discount.
Discount = 80 - 68
Discount = $12
Percent of discount is
= (Discount / Original price) ⋅ 100%
= (12 / 80) ⋅ 100%
= 15%
So, the percent of discount received is 15%.
Problem 3 :
A grocery store has two recycling machines outside. The first recycle machine took in 240 plastic bottles and 180 metal cans. The second took in 30 percent more plastic bottles but 10 percent less metal cans. The second machine recycled what percent more items than the first (rounded to the nearest percent)?
Solution :
First recycle machine :
No. of plastic bottles = 240
No. of metal cans = 180
Total number of items = 240 + 180 = 420
First recycle machine :
No. of plastic bottles = 1.3 ⋅ 240 = 312
No. of metal cans = 0.9 ⋅ 180 = 162
Total number of items = 312 + 162 = 474
Difference between the total number of items recycled by the first machine and the second machine is
= 474 - 420
= 54
The second machine recycled 54 more items than the first machine.
Percent increase from the first machine to second :
= (54 / 420) ⋅ 100%
≈ 13%
So, the second machine recycled about 13% more items than the first machine.
Problem 4 :
Michael and Richard are partners in a business and share the profit in the ratio 2 : 3. Richard gets what percent more profit than Michael ?
Solution :
Add the two terms in the ratio and take the result as total parts.
Then, the total parts is
= 2 + 3
= 5
Out of the total parts 5, share of Michael is 2 parts and Richard is 3 parts.
Richard gets 1 part of profit more than Michael.
Percent increase from Michael's share to Richard's share :
= (1 / 2) ⋅ 100%
= 50%
So, Richard gets 50% more profit than Michael.
Problem 5 :
The kinetic energy of an object is given by (mv2 / 2) where m is the mass and v is its velocity. A radio active element loses 15 percent of its mass and 20 percent of its velocity. By what percent has its kinetic energy decreased ?
Solution :
The kinetic energy of the object is
= mv2 / 2
= 0.5mv2
After 15 percent decrease in mass and 20 percent decrease in velocity, the kinetic energy is
= (0.85m)(0.8v)2 / 2
= (0.85m)(0.64v2) / 2
= 0.544v2 / 2
= 0.272mv2
Difference :
= 0.5mv2 - 0.272mv2
= 0.228mv2
Percent decrease :
= (0.228mv2 / 0.5mv2) ⋅ 100%
= 45.6%
So, 45.6 percent of kinetic energy has decreased.
After having gone through the stuff given above, we hope that the students would have understood, how to solve problems on estimating percents.
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
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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
Recent Articles
-
Solving Word Problems Involving Fractions
Jan 21, 20 12:22 AM
Solving Word Problems Involving Fractions - Example problems with step by step solution
-
Psat Practice Math Worksheet 2
Jan 18, 20 06:32 PM
Psat Practice Math Worksheet 2
-
Psat Practice Math Worksheet 1
Jan 18, 20 06:21 PM
Psat Practice Math Worksheet 1
