O-LevelMathematicsNumber4024/22 · Oct/Nov 2016 · Q19 Marks
The basic price of the 2016 model of a car is $21000. Sayeed and Rasheed each buy this model of car.
- (a)(i)Sayeed pays a deposit of $756. Calculate the deposit Sayeed pays as a percentage of the basic price.[1]
- (a)(ii)He then pays 24 monthly payments of $922.25 . Calculate the total amount that Sayeed pays as a percentage of the basic price.[2]
- (b)Rasheed pays a deposit of $381 followed by 36 equal monthly payments. The total amount that he pays is 127% of the basic price of $21000. Calculate Rasheed's monthly payment.[3]
- (c)$21000 represented an increase of 5% on the basic price of the 2015 model. Calculate the difference between the basic prices of the 2015 and 2016 models.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [1] 3.6
- [2] 109
- [2] B1 for 756 + 24×922.25 soi or
- [1] SC1 for (24×922.25 / 21000) × 100 oe
- [3] 730.25
- [1] B1 for (127×21000)/100 soi
- [1] M1 for 381 + 36 x = their total amount oe
- [3] 1000
- [1] M1 for x + 5x/100 = 21000 oe and
- [1] M1 for 21000 – their 2016 price oe
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