4MA0 Higher June 2015 Paper 4R Q3
3 Amit invests 15000 rupees.
At the end of one year, his investment has increased by \(7\frac{1}{2}\)%
(a) Work out the value of Amit’s investment at the end of one year. (2)
Priya invests a sum of money at an interest rate of 8% per year.
At the end of one year, the interest she receives is 1800 rupees.
(b) Work out the value of Priya’s investment at the end of one year. (3)
| Scheme | Marks |
|---|---|
Eg \(\dfrac{7\frac{1}{2}}{100} \times 15000\) or 0.075 × 15000 oe or 1125 or 0.075 × 15000 + 15000 or 15000 × 1.075 oe | M1 |
| 16125 | A1 |
| (2) |
Notes
M1: For finding 7.5% of 15000 or for a complete method to increase 15000 by 7.5% (eg 1.075 × 15000)
A1: cao
| Scheme | Marks |
|---|---|
Eg \(\dfrac{1800}{8} \times 108\) or \(\dfrac{1800}{0.08} \times 1.08\) or 22500 × 1.08 or \(\dfrac{1800}{0.08} + 1800\) or \(\dfrac{1800}{8} \times 100 + 1800\) or 225 × 100 + 1800 or 22500 + 1800 | M2 |
| 24300 | A1 |
| (3) |
Notes
M2: For a complete method
M1 for 8% = 1800 or \(0.08x = 1800\) or \(\dfrac{1800}{8}\) or 225 or \(\dfrac{1800}{0.08}\) or 22500 or \(\dfrac{x}{1800} = \dfrac{108}{8}\) oe