O-LevelMathematicsNumber4024/22 · May/June 2023 · Q112 Marks
(a) A shop buys some fruit. The table shows the bill for this fruit. Item | Quantity (kg) | Price per kg () | Cost price () Bananas | 50 | 0.51 | 25.50 Oranges | 72 | 1.35 | p Avocados | r | 1.95 | q Pears | 45 | s | 51.30 Total cost price 240.30 (b) In 2022, the shop's total sales were $34974.
- (a)(i)Find the value of each of p, q, r and s.[4]
- (a)(ii)The shop sells all this fruit for a total of $325. Calculate the percentage profit.[2]
- (b)(i)(a)A pie chart is drawn to show the item types that make up these total sales. The sales for fruit were $9520.70 . Calculate the angle representing fruit on the pie chart.[2]
- (b)(i)(b)The angle representing frozen food is 46°. Calculate the sales for frozen food.[2]
- (b)(ii)The shop's total sales of $34974 in 2022 were a 4.4% increase on the total sales in 2021. Calculate the total sales in 2021.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [4] B1 for p = 97.2[0]
- B1FT for q = 66.3[0] or q = 163.5 – their p
- B1FT for r = 34 or r = their q ÷ 1.95
- B1 for s = 1.14
- [2] M1 for (325-240.30)/240.30 [x100] oe or 325/240.30 x100 [-100] oe
- 35.2 or 35.24 to 35.25
- [2] M1 for 9520.70/34974 [x360] or 360/34974 [x9520.70]
- 98
- After 0 scored, SC1 for answer 27.2[2... %]
- [2] M1 for 46/360 [x34974] or 34974/360 [x46] or 46/their98 x9520.7
- 4468.9[0]
- [2] M1 for (100+4.4)/100 x = 34974 soi
- 33 500
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