O-LevelMathematicsNumber4024/21 · May/June 2014 · Q311 Marks
(a) Zara owns a hairdressing salon. She buys a pack of 60 bottles of shampoo from a warehouse for $240. She plans to sell the bottles of shampoo to her customers for $5.50 each. (b) The exchange rate between dollars ($) and pounds (£) is $1 = £0.64 . The exchange rate between dollars ($) and euros (€) is $1 = €0.78 .
- (a)(i)Calculate the percentage profit Zara makes on each bottle she sells for $5.50 .[2]
- (a)(ii)Zara sells 45 bottles at the full price then sells the rest with a 20% discount. Calculate the total profit she makes selling all 60 bottles.[2]
- (a)(iii)When the warehouse sells a pack of shampoo for $240 it makes a profit of 15%. Calculate the price paid for the pack of shampoo by the warehouse.[2]
- (a)(iv)Zara borrows $2500 from a bank to make improvements to her salon. She is charged 4.5% per year simple interest. She pays the money back after 3 years. Calculate the total amount Zara must pay to the bank.[2]
- (b)(i)Luke changes $250 into pounds. Calculate how many pounds he receives.[1]
- (b)(ii)Complete the statement to show the exchange rate between pounds and euros. Exchange rate £1 = € ..................[2]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [2] M1 for 5.5 ÷ (240 ÷ 60) soi by 1.375
- [2] Or B1 for either 150 seen and 90 seen
- [2] M1 for 45 × 5.5 + (60 – 45) × 5.5 × 0.8 oe
- [2] Or B1 for 247.5 seen or for 66 seen
- [2] M1 for 240 ÷ 1.15 ое
- [2] M1 for 2500 × 0.045 × 3 oe soi by 337.5
- [1] 160
- [2] M1 for 0.78 ÷ 0.64
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