Foundation June 2018 Paper 1 Q21

EdexcelCurrent spec6 marksPercentages

21 Chao bought a boat for HK$\$$160 000

The value of the boat depreciates by 4% each year.

(a) Work out the value of the boat at the end of 3 years.
Give your answer correct to the nearest HK$\$$. (3)

Jalina gets a salary increase of 5%

Her salary after the increase is HK$\$$252 000

(b) Work out Jalina’s salary before the increase. (3)

Mark scheme (a)

Scheme	Marks
$\dfrac{4}{100} \times 160\,000$ oe (=6400)	M1
$\dfrac{4}{100} \times (160\,000 - \text{``}{6400}\text{''})$ (= 6144) $\dfrac{4}{100} \times (160\,000 - \text{``}{6400}\text{''} - \text{``}{6144}\text{''})$ (= 5898.24) 160 000 – “6400” – “6144” − “5898.24”	M1
141 558	A1
	(3)

Notes

M1: for a complete method (condone 4 years rather than 3)

A1: for 141 557.76 - 141 558

SC If no other marks gained, award
B1 for 160 000 × 0.12 oe (=19 200)
or 160 000 × 0.88 oe (=140 800)
or an answer of 140 800
or an answer of in the range 179 978 – 179 978.24

M2 for 160 000 × 0.96³ or 160 000 × 0.96⁴ (=135 895.44..)

If not M2 then award M1 for 160 000 × 0.96 (=153 600) or 160 000 × 0.96² (=147 456)

accept (1 – 0.04) in place of 0.96 throughout

Scheme	Marks
E.g. 252 000 ÷ 1.05	M2
240 000	A1
	(3)
	(6 marks)