Page 26 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Form
4 Additional Mathematics Chapter 10 Index Numbers

For chicken, (ii) P 2016 × 100 = 132.5
y = 12.00 × 100 550
8.00 550
= 150 P 2016 = 132.5 × 100
For prawn, = 728.75
z × 100 = 140 Thus, the sale of food at Pak Abu’s
4.00 shop in the year 2016 is RM728.75.
z = 140 × 4.00
100 (c) The production cost is expected to
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= 5.60
decrease by k% from the year 2016 to
the year 2019.
(b) (i) For crab, 106
The percentage of sale for the crab
= 360° − 90° − 120° − 80°
2014 2016 2019
= 70°
The ratio of the weightages
132.5 100 – k
= 90° : 70° : 80° : 120°
= 9 : 7 : 8 : 12 132.5 × 100 − k = 106
– 120(9) + 110(7) + 140(8) + 150(12) 100
I =
36 100 − k = 106 × 100
4 770 132.5
=
36 100 − k = 80
= 132.5 k = 20
Thus, the composite index of the The sale of food is expected to decrease
sale in the year 2016 based on the by 20% from the year 2016 to the year
year 2014 is RM132.5. 2019.

Paper 2
CHAP
10 1. The table below shows the unit price of four (b) The price index of component L in the year
C4 components, K, L, M and N which is needed to 2017 based on the year 2014 is 125. The
produce a type of laptop. unit price of component L in the year 2017
was RM30 more than its unit price in the
Unit price (RM) in the year
Component year 2014. Calculate the values of q and r.
2014 2017
(c) The composite index for the cost to
K 40 p produce the laptop in the year 2017 based

L q r on the year 2014 is 139. Calculate
(i) the price of the laptop in the year
M 40 70
2017 if the corresponding price in the
N 50 60 year 2014 was RM1 700,
(a) Given the price index of component K in (ii) the value of m if the ratio of
the year 2017 based on the year 2014 is components used to produce the
130. Find the value of p. laptop is 2 : 1 : 3 : m.

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