O-LevelMathematicsNumber4024/21 · May/June 2016 · Q19 Marks
A shopkeeper buys some plates from a manufacturer for $12 each.
- (a)The manufacturer makes a profit of 60%. Calculate the cost of manufacturing each plate.[2]
- (b)The shopkeeper sells each plate for $17.40. Calculate the percentage profit made by the shopkeeper.[2]
- (c)In a sale, each plate is reduced from $17.40 to $11.31. Calculate the percentage discount given.[2]
- (d)The shopkeeper buys 100 plates at $12 each. He sells 60 plates at $17.40 each and x plates at $11.31 each. The shopkeeper makes a profit of at least 10%. Find the least possible value of x.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [2] (a) 7.5(0)
- [2] (a) M1 for x + (60x/100) = 12 soi or B1 for by 160
- [2] (b) 45
- [2] (b) M1 for ((17.40-12)/12) × 100
- [2] (c) 35
- [2] (c) M1 for ((17.4-11.31)/17.4) × 100
- [3] (d) 25
- [3] (d) M1 for 60 × 17.4 + x × 11.31(≥ 1320) or B1 276
- [3] (d) A1 for 24.4(03...)
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