SPM 2018 Add Maths Paper 2, Question 13Index Numbers

Solved on video in English and Bahasa Melayu · 10 marks · Form 4, Index Numbers · 7:05 video

The question

Table 2 shows the information related to four ingredients, P, Q, R and S, used in the production of a type of noodle. The production cost for this noodle is RM47 600 in the year 2017. (a) If the price of ingredient Q in the year 2013 is RM4.20, find its price in the year 2017. (b) Percentage of usage for several ingredients were given in Table 2. Calculate the corresponding production cost in the year 2013. (c) The production cost is expected to increase by 50% from the year 2017 to the year 2019. Calculate the percentage of changes in production cost from the year 2013 to the year 2019.

[10 marks]

SPM 2018 Add Maths Paper 2, Question 13: the question as drawn in Eduly's video

7:05

Step 1

Convert each 'change in price index' into a price index number with base year 2013 = 100. An increase adds to 100 and a decrease subtracts from it: P = 140, Q = 120, R = 160, S = 90.

Why this step

The table gives changes, not indices. Convert first: a rise adds to 100 and a fall subtracts, so S (10% down) is 90, not −10.

7 more steps, each with the reason for it, in the full solution

Final answer

(a) RM5.04 (b) RM40 000 (c) 78.5% increase

Where students lose marks

Watch out: convert changes to indices (140, 90), find R = 30% first, and multiply indices in (c), don't add 50.

Watch every step of this question solved on video (7:05), with the reason behind each step and a box that checks your own answer.

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SPM 2018 Add Maths Paper 2, Question 13Index Numbers

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