Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #2 : Other Ratios And Rates

Sara has a weekly salary of . This week she sells six  lamps and takes  of those sales as her commission. What is the total amount of money she makes this week?

Possible Answers:

Correct answer:

Explanation:

First you find the total amount of sales that Sara made this week by selling six lamps at $200 a piece: 

Sara gets a 6% commission on her sales, so next you find what 6% of 1,200 is: 

So, Sara makes $72 from commission this week. However, we can't forget about the $500 weekly salary she also gets! We add her week's commission plus weekly salary to find the total amount she makes during this particular week:

Example Question #1 : Other Ratios And Rates

Maggie works on an  commission rate. After one great sale, she makes  from commission alone. How much was the sale?

Possible Answers:

There is not enough information to answer the question.

Correct answer:

Explanation:

We can interpret the information given in the question as "150 is 8% of some number, or whatever amount Maggie's sale is." We can turn this sentence into algebra by calling "some number" x:

From here, we solve for x by isolating it on one side of the equation:

Maggie's sale was $1,875.

Example Question #1 : Other Ratios And Rates

Waitress Kelly sold  worth of food to her tables on Saturay night. If she made  in tips that night, what was her overall tip percentage? Round your final answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

From the information given in the question, we can ask ourselves the following question- $120 is what percent of $670? We can turn this into algebra by calling "what number" x:

From here, we solve for x by isolating it on the right side of the equation:

Rounding to the nearest tenth gives us 17.9, so the final answer is 17.9%.

Example Question #1 : Other Ratios And Rates

In a football game, a team won  out of the  games they played. What is the ratio of their wins to their total number of games played?

Possible Answers:

Correct answer:

Explanation:

The team has won 5 games.  

The number of played games is 25.  

Therefore, the ratio of winnings to the total is:

Example Question #1 : Finding Percent Change

In 2012, a university received 150,249 applicants. In 2013, the same university received 190,201 applicants. By what percent did the total number of applicants increase from 2012 to 2013?

Possible Answers:

Correct answer:

Explanation:

To find the percent change, use the following formula:

Our new number of applicants is 190,201, while the original number of applicants is 150,249.

Example Question #1 : Increase

In January, Widget Company made , widgets. In February, the same company made , widgets. By what percentage did the amount of widgets made increase?

Possible Answers:

Correct answer:

Explanation:

To find the percent increase, use the following formula:

In the case of Widget Company,

Therefore, the percent increase is 

Example Question #1 : Increase

Derek ran his first mile in  minutes and his second mile in  minutes. 

What is the percent increase between the time it took Derek to run the first and second mile?

Possible Answers:

Correct answer:

Explanation:

The correct answer is a percent change (increase) of .

This can be calculated using the following equation: 

Therefore, the answer is a percent increase of .

Example Question #1 : Finding Percent Change

In May of the past year, Harry's company made  in profit, and in June of that same year, his company made  in profit. By what percent did his profit increase from May to June?

Possible Answers:

Correct answer:

Explanation:

To find percent change, use the following formula:

Our new value is the profit in June, $210,219. Our old value is the profit in May, $189,281.

Example Question #1 : Decrease

In March, an athlete weighed  pounds. In April, the same athlete weighed  pounds. What is the athlete's percentage of weight loss?

Possible Answers:

Correct answer:

Explanation:

The formula to find percentage change is

.

So for our athlete, our new weight is 170 pounds, and the original weight is 195 pounds.

Because the question already tells us that we need to find the percent lost, or percent decrease, we can drop the negative sign in the answer.

Example Question #2 : Finding Percent Change

Last month the shirt you wanted to buy cost  and this month it costs . What is the percent decrease?

Possible Answers:

Correct answer:

Explanation:

1. Subtract the lower price from the higher price.

2. Divide the difference or amount of change by the initial price:

or 10% price decrease 

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