5.2.1 Percentages, PT3 Practice

Question 1:
Rahman bought a house at RM180 000. The market price of the house increases by 15 % per year. After a year, Rahman sold his house at the price of RM 205 000.
Is the selling price higher compared to the market price? Show your working.

Solution:
$\begin{array}{l}\text{Market price}\\ =115\%\times \text{RM180 000}\\ =\frac{115}{100}\times \text{RM180 000}\\ =\text{RM}207000\\ \\ \text{RM}207000>\text{RM}205000\\ \text{The market price of the house is higher than the selling price of the house}\text{.}\end{array}$

Question 2:
A company makes a profit of RM 50 000 in year 2016. The projection of profit increase is fixed at 20 % from the previous year.
Predict the company profit in year 2018.

Solution:
$\begin{array}{l}\text{Profit in year 2017}\\ =\text{RM}50000\times \frac{120}{100}\\ =\text{RM6}0000\\ \\ \text{Profit in year 2018}\\ =\text{RM6}0000\times \frac{120}{100}\\ =\text{RM72 }000\end{array}$

Question 3:
Sharon wants to buy a new car with the price of RM 78 500. Her father gives her some money, which is 30 % of the car price. The deposit for the car is $\frac{1}{5}$ of the price.
Would her father’s contribution be enough for her deposit? Give your reason with calculation.

Solution:
$\begin{array}{l}30\%\text{ of the car price given by Sharon's father}\\ =\frac{30}{100}\times \text{ RM }78500\\ =\text{RM 235}50\\ \\ \text{Deposit of the car price needed}\\ =\frac{1}{5}\times \text{ RM }78500\\ =\text{RM 15700}\\ \\ \text{RM 235}50>\text{ RM 15700},\text{ therefore her father 's contribution is}\\ \text{enough for the deposit}\text{.}\end{array}$

Question 4:
The profit of Company P and Company Q in March are RM38 000 and RM48 000 respectively. In April, the profit of Company P has increased by 20%.
Given the profit for both companies are equal in April, find the percentages decrease in profit of Company Q.

Solution:
$\begin{array}{l}\text{Profit of Company }P\text{ in April}\\ =\frac{120}{100}\times 38000\\ =\text{RM45600}\\ \\ \text{Drop in profit of Company }Q\\ =\text{RM48000}-\text{RM45600}\\ =\text{RM24}00\\ \\ \text{Percentage decrease in profit}\\ =\frac{2400}{48000}\times 100\%\\ =5\%\end{array}$

Question 5:
A biscuit making company needs 200 tonnes of flour every month. Factory K supplies 80 tonnes, while the rest is supplied by Factory M. In a particular month, Factory K faces a problem which forces it to reduce its output by 15%.
Find the total percentage of the flour output of Factory M in order to accommodate the requirement of the biscuit making company.

Solution:
$\begin{array}{l}\text{New flour supply from Factory }K\\ =\frac{85}{100}\times 80\\ =68\text{ tonnes}\\ \\ \text{New flour supply from Factory }M\\ =200-68\\ =132\text{ tonnes}\\ \\ \text{Total percentage of flour output of Factory }M\\ =\frac{132}{120}\times 100\%\\ =110\%\end{array}$