**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**:

$\begin{array}{l}\text{Marketprice}\\ =115\%\times \text{RM180000}\\ =\frac{115}{100}\times \text{RM180000}\\ =\text{RM}207\text{}000\\ \\ \text{RM}207\text{}000\text{RM}205\text{}000\\ \text{Themarketpriceofthehouseishigherthanthesellingpriceofthehouse}\text{.}\end{array}$

**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**:

$\begin{array}{l}\text{Profitinyear2017}\\ =\text{RM}50\text{}000\times \frac{120}{100}\\ =\text{RM6}0\text{}000\\ \\ \text{Profitinyear2018}\\ =\text{RM6}0\text{}000\times \frac{120}{100}\\ =\text{RM72}000\end{array}$

**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**:

$\begin{array}{l}30\%\text{ofthecarpricegivenbySharon'sfather}\\ =\frac{30}{100}\times \text{RM}78500\\ =\text{RM235}50\\ \\ \text{Depositofthecarpriceneeded}\\ =\frac{1}{5}\times \text{RM}78500\\ =\text{RM15700}\\ \\ \text{RM235}50\text{RM15700},\text{thereforeherfather'scontributionis}\\ \text{enoughforthedeposit}\text{.}\end{array}$

**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**:

$\begin{array}{l}\text{ProfitofCompany}P\text{inApril}\\ =\frac{120}{100}\times 38000\\ =\text{RM45600}\\ \\ \text{DropinprofitofCompany}Q\\ =\text{RM48000}-\text{RM45600}\\ =\text{RM24}00\\ \\ \text{Percentagedecreaseinprofit}\\ =\frac{2400}{48000}\times 100\%\\ =5\%\end{array}$

**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**:

$\begin{array}{l}\text{NewfloursupplyfromFactory}K\\ =\frac{85}{100}\times 80\\ =68\text{tonnes}\\ \\ \text{NewfloursupplyfromFactory}M\\ =200-68\\ =132\text{tonnes}\\ \\ \text{TotalpercentageofflouroutputofFactory}M\\ =\frac{132}{120}\times 100\%\\ =110\%\end{array}$