SPM 2017 Add Maths Paper 2, Question 13Index Numbers

Table 2 shows the prices and the price indices of three types of ingredients A, B and C, used in the production of a type of fish ball. Table 2: Ingredient A: price RM5.00 (2014), RM6.64 (2016), price index (2016 based on 2014) = 132.8, weightage 50. Ingredient B: price RM y (2014), RM3.00 (2016), price index = x, weightage 20. Ingredient C: price RM0.50 (2014), RM0.95 (2016), price index = 190, weightage 1. (a) The price of ingredient B is increased by 20% from the year 2014 to the year 2016. (i) State the value of x. (ii) Find the value of y. (b) Calculate the composite index for the cost of making the fish balls for the year 2016 based on the year 2014. (c) It is given that the composite index for the cost of making the fish balls increased by 40% from the year 2012 to the year 2016. (i) Calculate the composite index for the cost of making the fish balls in the year 2014 based on the year 2012. (ii) The cost of making a fish ball is 10 sen in the year 2012. Find the maximum number of fish balls that can be produced using an allocation of RM80 in the year 2016.