Question

Assume that the taxes on petrol is 125% of the price of petrol per litre as received by the retailer minus the taxes. If in the last week, the petrol prices per litre as received by the retailer minus the taxes was 35, 34, 35.5, 37, 37.5 and 38, the average amount of tax collected per litre of petrol is

• A. 45.2
• B. 46.1
• C. 44
• D. None of the option is correct

Answer 1

Answer: (A)

45.2

Answer 2

Given that the taxes on petrol are 125% of the price of petrol per litre as received by the retailer minus the taxes. We need to calculate the average amount of tax collected per litre of petrol based on the given prices.
Let's denote the price received by the retailer minus the taxes as $P$.
1. Calculate the tax for each price:
- If $P = 35$, tax = $1.25 \times 35 = 43.75$
- If $P = 34$, tax = $1.25 \times 34 = 42.5$
- If $P = 35.5$, tax = $1.25 \times 35.5 = 44.375$
- If $P = 37$, tax = $1.25 \times 37 = 46.25$
- If $P = 37.5$, tax = $1.25 \times 37.5 = 46.875$
- If $P = 38$, tax = $1.25 \times 38 = 47.5$
2. Calculate the average tax:
$\text{Average tax} = \frac{43.75 + 42.5 + 44.375 + 46.25 + 46.875 + 47.5}{6}$
$\text{Average tax} = \frac{271.25}{6} \approx 45.2083$
Therefore, the average amount of tax collected per litre of petrol is approximately 45.2.
Correct answer: A 45.2