Index  Number

The table shows the prices for the four ingredients P, Q R and S used in making a particular kind of cake.

Ingredients	Price per Kilogram ( $ )
	Year 2005	Year 2006
P	2.40	4.80
Q	6.00	W
R	3.00	4.50
S	X	Y

1. The index number of ingredient Q in the year 2006 based on the year 2005 is 150.Calculate the value of w.                                                              ( 2 marks )
2. The index number of ingredient S in the year 2006 based on the year 2005 is 225.The price per kilogram of ingredient S in the year 2006 is $3.00 more than its corresponding price in the year 2005.Calculate the value of x and y.                                                   ( 3 marks )
3. The composite index for the cost of making the cake in the year 2006 based on the year 2005 is 175.Calculate

       i. the price of a cake in the year 2005 if its corresponding

          price in the year 2006 is $52.50

      ii. the value of m if the quantity of ingredients P, Q,R and

          S used are in the ratio of 3:m:6:4.               ( 5 marks )

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