NOTE:
Take Q1-4 from percentage of an amount and percentage change
Q5
Calculate the following percentages.
5(a) 115\% of 300
Answer type: simple
ANSWER: 345
Workings:
115 \% = 1.15 1.15\times300=3451 mark
5(b) 300\% of 32
Answer type: simple
ANSWER:96
Workings:
300 \% = 3 3\times32=961 mark
5(c) 160\% of 220
Answer type: simple
ANSWER: 352
Workings:
160 \% = 1.6 1.6 \times 220= 3521 mark
5(d) 108 \% of 50
Answer type: simple
ANSWER: 54
Workings:
108 \% = 1.08 1.08 \times 50 = 54Q6
A clothing store is offering a range of discounts at the end-of-season sale.
Calculate the sale price of the following items, given the original price.
6(a) A £30 dress with a 25\% discount
Answer type: simple
Answer: £22.50
Workings:
25\% off means the sale price is 75\% of the original value.
0.75\times30= 22.502 marks
6(b) A £49 shirt with a discount of 70\%
Answer type: simple
Answer: £14.70
Workings:
70\% off means the sale price is 30\% of the original value.
0.3\times49=14.702 marks
6(c) An £80 pair of shoes with a discount of 35\%
Answer type: simple
Answer: £28
Workings:
To simplify the calculation, calculate the value of 5\% and then multiply this value by 7:
5\% of £80 is 0.05\times80 = £4
35\% of £80 is £4 \times 7 = £28
2 marks
Q7
Some students were asked about their favourite takeaway foods.
300 students were asked in total.
35\% of the students said their favourite was pizza.
20\% of the students said their favourite was fish and chips.
12\% of the students said their favourite was Chinese food.
2\% of the students had no preference for any takeaway food.
The remaining students said that curry was their favourite takeaway food.
7(a) How many students said pizza was their favourite food?
Answer type: simple
ANSWER: 105
Workings:
0.35\times300=1051 mark
7(b) How many students said fish and chips was their favourite food?
Answer type: simple
ANSWER: 60
Workings:
0.2\times300=601 mark
7(c) How many students said Chinese food was their favourite takeaway?
Answer type: simple
ANSWER: 36
Workings:
0.12\times300=361 mark
7(d) How many students said curry was their favourite takeaway food?
Answer type: simple
ANSWER: 93
Workings:
The percentage of people that said curry was their favourite food can be calculated as 100-35-20-12-2=31\%
0.31\times300=932 marks