Foundation November 2020 Paper 1 Q24
24 Lily buys and sells microwaves.
She buys each one for £32 and sells it for £60.
She also pays £7 for the delivery of each microwave she sells.
If she sells a microwave that is faulty then Lily must pay for its repair and redelivery. This costs her another £25 for each faulty microwave.
Last month, 6 out of the 80 microwaves Lily sold were faulty.
This month she has orders for 133 microwaves.
Calculate her expected percentage profit on this month’s order.
Showing your working in the boxes below may help you present your work.
| Expected number of faulty microwaves: | Expected costs: |
| Income from sales: | Expected percentage profit: |
[6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 46.77 to 46.84 or 47 nfww or (using 9) 47.45 to 47.5 or 48 nfww | 6 | B2 for 9, 9.9, 9.975, 9.98 or 10 or M1 for [faulty =] \(\dfrac{6}{80}\) [× 133] oe AND M1 for [costs = ] 133 × (32 + 7) + their 10 × 25 oe or their 5187 + their 10 × 25 M1 for [income = ] 133 × 60 M1 for [percentage profit = ] \(\dfrac{\textit{their } 7980 - \textit{their } 5437}{\textit{their } 5437}\) [× 100] oe or \(\left(\dfrac{\textit{their } 7980}{\textit{their } 5437} - 1\right)\)[× 100] | equivalents include 7.5% M1 implied by 5412, 5434.5, 5436.375, 5436.5 or 5437 M1 implied by 7980 numerator could be e.g. 2543 accept any correct method |