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Tariq buys a laptop - Edexcel - GCSE Maths - Question 9 - 2020 - Paper 2
Question 9
Tariq buys a laptop. He gets a discount of 5% off the normal price. Tariq pays £551 for the laptop. (a) Work out the normal price of the laptop. Joan invests £600... show full transcript
Worked Solution & Example Answer:Tariq buys a laptop - Edexcel - GCSE Maths - Question 9 - 2020 - Paper 2
Step 1
Work out the normal price of the laptop.
Answer
To find the normal price of the laptop, we first note that Tariq paid £551 after receiving a 5% discount. This implies that the £551 represents 95% of the normal price.
Let the normal price be denoted as . Thus, we can set up the equation:
To find , we rearrange the equation:
P = 580 $$ Hence, the normal price of the laptop is £580.Step 2
Work out the value of Joan's investment at the end of 3 years.
Answer
Joan invests £6000 in a savings account that pays compound interest. The interest rates are 2.4% for the first year, and 1.7% for each of the following two years.
Step 1: Calculate the amount after the first year.
Amount after the first year:
Step 2: Calculate the amount after the second year.
Amount after the second year:
Step 3: Calculate the amount after the third year.
Amount after the third year:
Rounding this to two decimal places gives us £6356.65 as the final value of Joan's investment at the end of 3 years.