Percentages: Question 1

Worked solution

Part (a): Percentage of an amount

We need $30\%$ of $240.

Write the percentage as a decimal (or fraction): $30\% = \frac{30}{100} = 0.3$

Multiply by the amount: $0.3 \times 240 = 72$

So the deposit is $\boxed{72}$ dollars, i.e. $72.

Part (b): Percentage increase

First find $25\%$ of $48: $25\% \times 48 = \frac{25}{100} \times 48 = 12$

The price goes up, so add this increase to the original amount: $48 + 12 = 60$

(You can also use the multiplier method: an increase of $25\%$ gives a multiplier of $1.25$, and $1.25 \times 48 = 60$.)

So the selling price is $\boxed{60}$ dollars, i.e. $60.

Part (c): Percentage decrease

First find $16\%$ of $150: $16\% \times 150 = 0.16 \times 150 = 24$

The price goes down, so subtract this decrease from the original amount: $150 - 24 = 126$

(Using the multiplier method: a decrease of $16\%$ gives a multiplier of $1 - 0.16 = 0.84$, and $0.84 \times 150 = 126$.)

So the sale price is $\boxed{126}$ dollars, i.e. $126.

Final answers

• (a) Deposit $=$ $72
• (b) Selling price $=$ $60
• (c) Sale price $=$ $126