Page 27 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Form
4
Chapter 10 Index Numbers Additional Mathematics

2. The table below shows the Sahara’s monthly (ii) The cost of making the health
C4 expenditure and weightage for the year 2013 supplement is RM35.00 per bottle in
and 2018. the year 2011. Find the maximum
number of bottle of health supplement
Expenditure that can be produced using an
Price
Item (RM) index Weightage allocation of RM42 000 in the year
2013 2018 2019.
Transport 500 750 z 6 SPM Clone
4. The table below shows the price indices and
Food 500 800 160 9 C5 change in price indices of the expenditure of
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House x vegetables plantation.
rental 360 130 3 Price index Change in
price index
Others y 405 135 2 Expenditure in 2017 based from 2017 to
on 2013
(a) Find the values of x, y and z. 2019
(b) Find the composite index for the year 2018 Seeds 120 15% increase
based on the year 2013.
(c) Hence, find the average monthly Insecticide 110 5% decrease
expenditure for four item which are Fertiliser 135 10% increase
transport, food, house rental and others
in year 2013, if the average monthly Equipment 125 Unchange
expenditure in year 2018 is RM651. maintenance
SPM Clone Bar chart below represents the mass of each
3. The table below shows the price and the price
indices of four item A, B, C and D used in the expenditure used in vegetable plantation.
C5
production of a type of health supplement.
Price (RM) per Mass (kg)
Item bottle for the year Price Weightage
index
2014 2019 35
30
A 40.00 60.00 150 30 25

B 18.00 21.60 120 50
15
C 80.00 90.00 112.5 12
D k 37.50 h 8 Expenditure
(a) The price of item D is increased by 25% Seeds Insecticide Fertiliser Equipment CHAP
from the year 2014 to the year 2019. maintenance 10
(i) State the value of h,
(ii) Find the value of k.
(b) Calculate the composite index for the cost (a) The price of the seeds in 2017 is RM60.
of making the health supplement for the Find the corresponding price in 2013.
year 2019 based on the year 2014.
(b) Find the price index of all the four
(c) It is given that the composite index for expenditure in 2019 based on 2013.
making the health supplement increased by Hence,
54.2% from the year 2011 to the year 2019. (i) calculate the composite index for the
(i) Calculate the composite index for the year 2019 based on the year 2013,
cost of making the health supplement (ii) find the cost price (per kg) in 2013
in the year 2014 based on the year if the corresponding cost in 2019 is
2011. RM6.00 per kg.

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