### Numeracy Basics | Percentages

## Activity Two

Please note that you should attempt to work through these problems yourself first, before you look at the solutions. When you have completed the problem and are ready to compare your solution, click on the 'Show solution' link provided.

**Determine values after a percentage increase or decrease as specified below:**

a. A product that cost $300 last year has now increased in price by 12%. What is the new price of this item?

12 ÷ 100 x $300 = $36 price increase. So new price is $300 + $36 = $336

Alternatively, 100% + 12% = 112%, so new price is 112/100 x $300 = $336

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b. The number of sales of a particular item are expected to decrease by 33%. Given that the number of sales was originally 20 000, how many sales can now be expected?

33 ÷ 100 x 20 000 = 6 600 decrease in sales. So there are now 20 000 – 6 600 = 13 400 sales

Alternatively, 100% - 33% = 67%, so new sales are 67 ÷ 100 x 20 000 = 13 400

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c. A sales rep at a company is paid 15% commission on the sale price of an item. Given they sell an item for $5 200, how much will the company receive for the item after the commission has been paid?

15 ÷ 100 x $5 200 = $780 commission. So company receives $5 200 - $780 = $4 420

Alternatively, 100% - 15% = 85%, so company receives 85 ÷ 100 x $5 200 = $4 420

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d. An asset originally worth $16 990 is determined to have depreciated by 32.5%. What is the current value of the asset?

32.5 ÷ 100 x $16 990 = $5 521.75 reduction. So new value is $16 990- $5 521.75 = $11 468.25

Alternatively, 100% - 32.5% = 67.5% so price is 67.5 ÷ 100 x $16 990 = $11 468.25

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