Foundation June 2017 Paper 2 Q10
10. In a competition, there were two teams, Axis and Beta.
The teams bought and sold children’s toys.
The winning team was the one that gained the most profit.
| Team Axis Final Profit £10 | Team Beta Bought 160 toys for £4.60 each Sold 75% of the toys for £5.20 each Sold the remaining toys for £3 each |
Which team won the competition?
How much more profit did the winning team make? [6]
| Scheme | Marks | Comments |
|---|---|---|
| For Team Beta: (160 x 4.60 = £)736 | B1 | |
| 0.75 x 160 x 5.2(0) (= £624) | M1 | Or equivalent |
| 0.25 x 160 x 3 (= £120) | M1 | Or equivalent FT (160 – ‘their 120’) × 3 |
| Total income (£)744 | A1 | May be implied by later working. |
| Profit for Team Beta is (744 – 736 =) (£)8 | B1 | FT ‘their 744’ – ‘their 736’ provided at least B1 or M1 awarded. |
| Team Axis won, by £2 | E1 | FT difference between £10 and ‘their £8’, provided that the final B1 has been awarded. Final answer must have unit shown. |
| (6) |
Alternative
Alternative method: Considering profit
| Scheme | Marks |
|---|---|
| (Profit per toy sold for £5.20 is £5.20 – £4.60 = £)0.60 AND (Loss per toy sold for £3 is £4.60 - £3 =£)1.60 | B1 |
| 0.75 x 160 X 0.60 | M1 |
| 0.25 x 160 x 1.60 | M1 |
| (£)72 and (£)64 | A1 |
| (Profit for Team Beta = £72 – £64 =£)8 | B1 |
| Team Axis won, by £2 | E1 |
Corrected by Westie's Workshop
- The board's mark scheme printed “Profit per toy sold for £4.60”. Changed to “Profit per toy sold for £5.20” because the toys were bought for £4.60 and sold for £5.20, so the profit on each is £5.20 – £4.60 = £0.60.
Original: see the board's mark scheme PDF (link above).