4400 Higher November 2010 Paper 4 Q11
11 Tom buys a painting for $1350
He sells it for $1269
(a) Work out his percentage loss. (3)
Kelly bought a boat.
Later, she sold the boat for $9519
She made a profit of 14%.
(b) Work out the original price of the boat. (3)
| Scheme | Marks |
|---|---|
| 1350 − 1269 or 81 | M1 |
| \(\dfrac{81}{1350} \times 100\) or \(\dfrac{81}{1269} \times 100\) | M1 |
| 6 | A1 |
| (3) |
Notes
M1: for \(\dfrac{81}{1350}\) or \(\dfrac{81}{1269}\) or 0.06 or 0.0638...
A1: cao Do not award this mark if a denominator of 1269 used.
or M1 for \(\dfrac{1269}{1350}\) or 0.94 or 94, M1 for 1 − “0.94” or 100 − “94”
or M1 for \(\dfrac{1350}{1269}\) or 1.06... or 106...., M1 for “1.06...” − 1 or “106” − 100
Award both method marks for an answer of 6.4, 6.38 or better.
| Scheme | Marks |
|---|---|
| \(\dfrac{9519}{1.14}\) or \(9519 \times \dfrac{100}{114}\) oe | M2 |
| 8350 | A1 |
| (3) | |
| (6 marks) |
Notes
M2: M2 for \(\dfrac{9519}{1.14}\) or \(9519 \times \dfrac{100}{114}\) oe
M1 for \(\dfrac{9519}{114}\), 83.5 seen, 114% = 9519, \(\dfrac{9519}{x} = 1.14\), \(9519 = 1.14x\)
A1: cao