A haulage company fills its diesel tank at the start of each week. The price per litre rises by 12% one week, and the total cost to fill the tank that week ...
Question 1 Report
A haulage company fills its diesel tank at the start of each week. The price per litre rises by 12% one week, and the total cost to fill the tank that week is £78.40.
- Work out the cost of filling the tank before the price rise. (3)
- Write down the increase in cost caused by the price rise. (1)
Answer Details
This question tests reversing a percentage increase and then stating the size of the increase in pounds.
- Letting \(x\) be the cost before the rise, a 12% increase means \(1.12x = 78.40\), so \(x = 78.40 \div 1.12 = \) £70 [3].
- The increase in cost is \(78.40 - 70 = \) £8.40 [1].
Once the original £70 cost is found, the increase follows directly by subtraction from the new £78.40 cost; there is no need to recompute 12% of £70 separately, though it gives the same £8.40.
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