4.2.2 Ratio, Rates and Proportions, PT3 Focus Practice

= 10 cm

Question 6:
In a campaign of selling T shirt for Merdeka Day makes an amount of profit, RM x. The profit is divided between Jamal and Rafizi in the ratio of 5 : 3. Jamal receives RM 5400 more than Rafizi.

Calculate the value of x.

Solution:
Portion of profit for Jamal = ⅝
Portion of profit for Rafizi = ⅜
Given Jamal receives RM 5400 more than Rafizi,
$\begin{array}{l}\frac{2}{8}\to \text{RM }5400\\ \therefore \frac{1}{8}\to \text{RM }5400÷2=\text{RM}2700\\ \\ x=2700\times 8\\ =21600\end{array}$

Question 7:
Karim and Roger share RM300 in the ratio of 2 : 3. Karim gives ⅓ of his share to Mandeep. Then Mandeep received RM60 from Roger.

Find the ratio of Karim’s money to roger’s money to Mandeep’s money.

Solution:
$\begin{array}{l}\text{Money received by Karim}\\ =\frac{2}{5}\times \text{RM}300\\ =\text{RM}120\\ \\ \text{Money received by Roger}\\ =\frac{3}{5}\times \text{RM}300\\ =\text{RM}180\\ \\ \text{Karim's money after given to Mandeep}\\ =\text{RM12}0\times \frac{2}{3}\\ =\text{RM}80\\ \\ \text{Roger's money after given to Mandeep}\\ =\text{RM18}0-\text{RM6}0\\ =\text{RM12}0\\ \\ \text{Mandeep's money}\\ =\text{RM}40+\text{RM}60\\ =\text{RM10}0\\ \\ \text{Ratio}=80:120:100\\ =4:6:5\end{array}$