O-LevelMathematicsNumber4024/21 · Oct/Nov 2018 · Q210 Marks
Dina owns a clothes shop.
- (a)Maryam works in the shop. She works for 5 days each week from 10am until 6.30pm. She has a break of 45 minutes each day. She is paid $10.20 for each hour she works but she is not paid for her breaks. Work out how much Maryam earns for one week's work.[3]
- (b)Dina buys 25 dresses from a manufacturer. She pays a total of $400 for these dresses. She sells all the dresses for $19.80 each. Calculate her percentage profit.[2]
- (c)Dina sells a shirt for $15.66. The price includes 8% sales tax. Calculate the cost of the shirt excluding sales tax.[2]
- (d)Dina is saving to make improvements to her shop. She invests $3500 for 4 years at 1.7% per year compound interest. Calculate the value of Dina's investment after 4 years. Give your answer correct to the nearest cent.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [3] 395.25 cao
- B2 for answer 79.05
- OR
- B1 for [time = ] 7.75 oe soi
- M1 for their 7.75 × 10.20 oe
- [2] 23.75
- M1 for (19.80 × 25 – 400) ÷ 400 oe
- If 0 scored, SC1 for answer 123.75 or 123.8
- [2] 14.5[0]
- M1 for (100+8)/100 x = 15.66 soi
- [3] 3744.14 final answer
- M2 for 3500 × (1 + 1.7/100)^4 oe
- or M1 for 3500 × (1 + 1.7/100)^k oe where k>1
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