A corner shop orders 80 punnets of strawberries at the start of the week and sells them for £1.20 each. By Thursday, 65% of the punnets have sold at the ful...
Question 1 Report
A corner shop orders 80 punnets of strawberries at the start of the week and sells them for £1.20 each. By Thursday, 65% of the punnets have sold at the full price. On Friday, the shop reduces the remaining punnets by 40% to clear the stock, and all of these sell.
- Work out how many punnets are sold at full price by Thursday. (1)
- Work out the reduced price of each punnet on Friday. (2)
- Work out the total income from Friday's reduced sales. (1)
- Work out the shop's total income for the week, and state whether this is more or less than the £60 it paid its supplier for the whole batch. (2)
Answer Details
This question tracks stock sold at two different prices across two days, before combining both days' income and comparing the week's total with what the shop paid its supplier.
(a) Punnets sold at full price by Thursday:
\[80 \times 0.65 = 52 \text{ punnets}\] [1 mark]
(b) The 40% reduction on Friday multiplies the £1.20 price by \(0.60\):
\[1.20 \times 0.60\] [1 mark]
\[= \pounds 0.72\] [1 mark]
(c) The remaining \(80 - 52 = 28\) punnets all sell at this reduced price on Friday:
\[28 \times 0.72\] [1 mark]
\[= \pounds 20.16\]
(d) Thursday's full-price income is \(52 \times 1.20 = \pounds 62.40\). Adding Friday's £20.16 gives the week's total income:
\[62.40 + 20.16 = \pounds 82.56\] [1 mark]
Since \(\pounds 82.56 > \pounds 60\), this is more than the £60 paid to the supplier, so the shop makes a profit on the batch [1 mark]. The full week's income must combine both the full-price sales up to Thursday and the reduced-price clearance on Friday, since neither day's takings alone represent the whole week.
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