4MA0 Higher January 2014 Paper 3R Q6

EdexcelHigherOld spec9 marksPercentages

(a) Dilip buys a painting for $ 675
Later, he sells it and makes a percentage profit of 12%.
Work out the price for which Dilip sells the painting. (3)

(b) Renuka sells her car.
She makes a loss of $ 2162
Her percentage loss is 23%.
Work out the price for which Renuka sells her car. (3)

(c) Lin bought a computer that had a value of $ 1500
At the end of each year, the value of her computer had depreciated by 40% of its value at the start of that year.
Calculate the value of her computer at the end of 3 years. (3)

Scheme	Marks
\(\dfrac{12}{100} \times 675\) oe or 81	M1
675 + “81”	M1
756	A1
	(3)

Scheme	Marks
23% of amount = 2162 or (1% =) \(\dfrac{2162}{23}\) or 94 seen	M1
“94” × 100 or 9400 or “94” × 77	M1
7238	A1
	(3)

Mark scheme (c)

Scheme	Marks
$\dfrac{40}{100} \times 1500$ oe or 600	M1
$\dfrac{40}{100} \times (1500 - \text{“}600\text{”})$ = 360 $\dfrac{40}{100} \times (1500 - \text{“}600\text{”} - \text{“}360\text{”})$ = 216 1500−“600”−“360”−“216”	M1
324	A1
	(3)
	(9 marks)

Notes

M1: for eg $\dfrac{40}{100} \times 1500$ or 600

M1: for completing method

A1: cao

OR $1500 \times 0.6^3$
M2 for $1500 \times 0.6^3$
(M1 for $1500 \times 0.6$ or 900 or $1500 \times 0.6^2$ or 540 or $1500 \times 0.6^4$)

Accept (1− 0.4) as equivalent to 0.6