ISEE Middle Level Math : How to find the part from the whole with percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #71 : Arithmetic

Donald makes $17.50 an hour at current, and is due for a 5% raise. Also, as a result of an agreement with the union, management has promised a 16% increase in wages across the board for all workers. What will Donald earn per hour after these two increases?

Possible Answers:

Correct answer:

Explanation:

As a result of a 5% raise, Donald's wages will be 105% of what they were before; the 16% wage hike will make Donald's wages 116% of that. Therefore, Donald will make:

Example Question #191 : Percentage

In appreciation for a job well done, Clark is being awarded a bonus equal to 12.5% of the salary he earned over the last two years. His monthly salary over that period has remained constant at $4,500 per month. What is the amount of the bonus?

Possible Answers:

Correct answer:

Explanation:

Over two years, or 24 months, Clark has earned 

His bonus is 12.5% of this, or:

Example Question #2 : Percentages

What is  of 3,000?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion, as follows:

Solve for  by cross-mutiplying:

Example Question #72 : Arithmetic

Jerry buys groceries that cost $43.23 before tax. The tax on groceries in his locality is 5.5%. He hands the cashier a $100 bill. What will he get back in change?

Possible Answers:

Correct answer:

Explanation:

The tax on $43.23 worth of groceries is 5.5% of that, which is 0.055 multiplied by that:

 when rounded to the nearest cent.

Add that to the price:

And subtract that from $100:

, which is the change

Example Question #11 : Percentages

What is 40% of  ?

Possible Answers:

Correct answer:

Explanation:

Set up the percent proportion, where  is the part:

Solve for , rewriting as follows:

Example Question #201 : Percentage

At the store where Harry works, a hat he wants to buy sells for $72.00. He gets an employee discount of 20%, and he wants to hold out for two weeks, when the hat is marked down 15%. How much will he be able to buy the hat for then?

Possible Answers:

Correct answer:

Explanation:

A 20% employee discount means that Harry gets to buy merchandise for 80% of the purchase price. A 15% markdown means that the hat will sell for 85% of its normal price. Therefore, Harry will pay 80% of 85% of $72 for the hat, or:

Example Question #71 : Arithmetic

A bicycle Carly wants to buy costs $250 in her hometown in Tennessee, where she would pay no sales tax. Just across the border in Kentucky, she can buy the same bicycle for $225 in a store, but the sales tax is 8%. How much would Carly save by buying the bicycle in Kentucky?

Possible Answers:

Correct answer:

Explanation:

In the Kentucky store, Carly would pay $225, plus 8% of that amount, in tax; this is:

She would save 

Example Question #16 : How To Work With Percentages

$12,000 is deposited into a savings account that draws 6% simple interest per year. If no money is withdrawn during the first five years, how much money is in the account at the end of the fifth year?

Possible Answers:

Correct answer:

Explanation:

We can use the simple interest formula , substituting :

The savings account will have .

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a  product sold for  off cost?

Possible Answers:

Correct answer:

Explanation:

First, find  of :

Then, subtract this value from the whole:

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a  product sold for  off cost?

Possible Answers:

Correct answer:

Explanation:

First, find  of :

Then, subtract this value from the whole:

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