2.4.2. Is this direct or indirect proportion? Give a reason for your answer. 2.5 Mpho wants to exchange South African rands for British pound. If R1 is worth 0,075199 pound, how many pounds will he get for R2 100 if he must pay an agent a commission of \( 1.5 \% \) ? 2.7. The price of petrol is increased from R12,58 per litre to R13,28 per litre.

**2.4.2 Direct or Indirect Proportion** The relationship is one of direct proportion. In a direct proportion, as one quantity increases, the other increases at a constant rate. For example, if you double the amount of money exchanged (with a fixed exchange rate), the number of pounds you receive doubles. This constant factor (in this case, the exchange rate) confirms that the proportion is direct. --- **2.5 Currency Exchange with Commission** Mpho has R2100 and the exchange rate is \[ 1 \text{ rand} = 0.075199 \text{ pound}. \] *Step 1. Calculate the total pounds before commission:* \[ \text{Pounds before commission} = 2100 \times 0.075199. \] \[ = 157.9179 \text{ pounds (approximately)}. \] *Step 2. Account for the agent’s commission of \(1.5\%\):* Commission means Mpho will receive only \(100\% - 1.5\% = 98.5\%\) of the amount. Thus, \[ \text{Pounds after commission} = 157.9179 \times 0.985. \] \[ \approx 155.55 \text{ pounds}. \] So, Mpho will get approximately \(155.55\) pounds. --- **2.7 Petrol Price Increase** The price of petrol increases from \[ \text{Old price} = R12.58 \text{ per litre} \quad \text{to} \quad \text{New price} = R13.28 \text{ per litre}. \] *Step 1. Calculate the increase in price:* \[ \text{Increase} = 13.28 - 12.58 = R0.70. \] *Step 2. Compute the percentage increase relative to the old price:* \[ \text{Percentage increase} = \left(\frac{0.70}{12.58}\right) \times 100. \] \[ \approx 5.57\%. \] Thus, the petrol price increases by approximately \(5.57\%\).