Question 49·Easy·Percentages
A computer store sold 640 laptops in 2023. In 2024, the number of laptops sold increased by 12%. Which of the following is closest to the number of laptops the store sold in 2024?
For percent increase or decrease questions, quickly convert the percent to a decimal and multiply the original amount by —for an increase, use ; for a decrease, use . Use your calculator for the multiplication, then round only at the end and compare your result to the answer choices, picking the one that is numerically closest.
Hints
Understand what a 12% increase means
If a quantity increases by 12%, do you just multiply by , or do you need to keep the original amount as well? Think about how to represent the total after the increase.
Convert the percent to a decimal multiplier
Change into a decimal, and then combine it with the original of the value. What single decimal number can you multiply by 640 to get the new amount?
Use multiplication, then round
After you multiply 640 by your decimal, you may not get a whole number. How should you handle the decimal part when you are choosing from whole-number answer choices?
Desmos Guide
Compute the increased amount directly
In Desmos, type 640*1.12 on a new line. Look at the numeric output Desmos gives; then decide which of the answer choices is closest to that value.
Step-by-step Explanation
Translate the percent increase into a multiplier
A 12% increase means you keep 100% of the original amount and add 12% more, for a total of .
As a decimal, , so you can find the new amount by multiplying the original number by .
Apply the multiplier to the original number
Multiply the original number of laptops by this decimal:
Compute this product:
Add these: .
So the exact increased amount is laptops.
Round to a realistic, closest answer choice
You cannot sell a fraction of a laptop, so round to the nearest whole number, which is .
Now compare to the answer choices: 670, 700, 720, and 760. The choice that is closest to is 720, so that is the correct answer.