Profits and Discounts - Questions - Class Mathematics School Portal

Profits and Discounts - Questions

Question 1

41565

A slightly damaged air conditioner has its price reduced from $900 to $700. What is the percentage discount? Express percentage correct to one decimal place.

Answer

$22.2\%$

Worked Solution

Question 2

41566

A polo shirt is usually $70 but now it is on sale for $50. Calculate the percentage discount of the polo shirt.

Answer

$28.6\%$

Worked Solution

Question 3

41567

A T-shirt is discounted by 20% after a spring sale for $120. What was the original price of the T-shirt?

Answer

$\$150$

Worked Solution

Question 4

41568

A room heater reduced by 10% is sold for $350. What was its original price? Answer to the nearest dollar.

Answer

$\$389$

Worked Solution

Question 5

41569

A T-shirt is sold to make a profit of 70%. If they sold for $150, what was their cost price? Answer to the nearest dollar.

Answer

$\$88$

Worked Solution

Question 6

45630

A washing machine originally priced at $2500 is sold for $2000. Find

a) The loss
b) The percentage loss.

Answer

a) $\$500$ b) $ 20\%$

Worked Solution

\begin{align}
\text{a) Loss}&=\text{cost price}-\text{selling price}\\
&=\$2000-\$2500\\
&=\$500\\
\text{b) Loss}\%&=\frac{\text{loss}}{\text{cost price}}\times 100\%\\
&=\frac{500}{2500}\times 100\\
&= 20\%
\end{align}

Question 7

45629

A computer with a cost price of $850 is sold for $1400. Find:

a) The profit
b) The percentage profit on the cost price. Express percentage correct to one decimal place.

Answer

a) $\$550$ b) $\approx 64.7\%$

Worked Solution

\begin{align}
\text{a) Profit}&=\text{selling price}-\text{cost price}\\
&=\$1400-\$850\\
&=\$550\\
\text{b) Profit}\%&=\frac{\text{profit}}{\text{cost price}}\times 100\%\\
&=\frac{550}{850}\times 100\\
&=64.705\\
&\approx 64.7\%
\end{align}

Question 8

45631

Sophie bought an old car for $4000, spent another $500 on repairs and then sold it for $5500. Find

a. The profit made when she sold the car
b. Her percentage profit. Express percentage correct to one decimal place.

Answer

a) $\$1000$ b) $\approx 22.2\%$

Worked Solution

\begin{align}
\text{a) Cars cost price}&=\$4000+\$500\\
&=\$4500\\
\text{Cars selling price}&=\$5500\\
\text{Profit}&=\text{selling price}-\text{cost price}\\
&=\$5500-\$4500\\
&=\$1000\\
\text{b) Profit}\%&=\frac{\text{profit}}{\text{cost price}}\times 100\%\\
&=\frac{1000}{4500}\times 100\\
&=22.22...\%\\
&\approx 22.2\%
\end{align}

Question 9

45632

A clothes store gives $25\%$ of discount on jeans. Find the discount price if the original price of the jeans is $\$55$.

Answer

$\$41.25$

Worked Solution

\begin{align}
\text{Discount}&=25\% \text{ off original price}\\
&=25\% \times 55\\
&=0.25 \times 55\\
&=\$13.75\\
\text{Discount price}&=\$55-\$13.75\\
&=\$41.25
\end{align}

Question 10

45633

Calculate the selling price of a refrigerator marked at $\$600$, now discounted by $20\%$.

Answer

$\$480$

Worked Solution

\begin{align}
\text{Discount}&=20\% \text{ of }600\\
&=\frac{20}{100} \times 600\\
&=0.22 \times 600\\
&=120\\
\text{Selling price}&=\text{original price}-\text{discount}\\
&=600-120\\
&=\$480
\end{align}

Question 11

41562

Lucas received a 20% discount on the market price of a computer. If this was a saving of $150, what was the market price of the computer?

Answer

$\$750$

Worked Solution

Question 12

115123

A motorbike originally priced at $\$ 15000$ is sold for $\$ 12500$. Find the percentage loss (to 1 decimal place)

Answer

$16.7 \%$

Worked Solution

Question 13

115124

Towels with a cost price of $\$ 24$ each are sold for $\$ 40$. Calculate the percentage profit (to 1 decimal place).

Answer

$66.7 \%$

Worked Solution

Question 14

115125

A jacket discounted by $30 \%$ is sold for $\$ 98$ What was the original price of the jacket?

Answer

$\$ 140$

Worked Solution

Question 15

115126

Shoes are sold to make a profit of $80 \%$. If a pair was sold for $\$ 162$, what was its cost price?

Answer

$\$ 90$

Worked Solution

Question 16

115127

A plane fare from Sydney to Melbourne has been discounted by $45 \%$. If Bertie paid $\$ 165$ for a discounted ticket, what was the full price?

Answer

$\$ 300$

Worked Solution