Assume Vincent is the owner of a car dealership that buys and sells cars. He decides to share his business profit with his sons: Brian, Samuel and Joseph in the ratio: \( 2: 3: 5 \). Q.5.1.1 If Joseph received R150 000, calculate the amount received by Brian and Samuel.

1. The profit sharing ratio is \(2 : 3 : 5\), with Brian getting 2 parts, Samuel 3 parts, and Joseph 5 parts. 2. Since Joseph received R150,000 and his share represents 5 parts, the value of one part is: \[ \text{Value of one part} = \frac{150\,000}{5} = 30\,000 \] 3. Brian's portion, corresponding to 2 parts, is: \[ 2 \times 30\,000 = 60\,000\, \text{R} \] 4. Samuel's portion, corresponding to 3 parts, is: \[ 3 \times 30\,000 = 90\,000\, \text{R} \] Thus, Brian received R60,000 and Samuel received R90,000.