Exercise Chapter 11.docx

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1. Table below shows the price indices and percentage of usage of four items, P, Q, R and S which are the main ingredients in the production of a type of toy. Item Price index for the year 2007 based on the year 2004 Percentage of usage (%) P 125 30 Q x 20 R 115 10 S 135 40 a. Calculate i. The price of S in the year 2004 if its price in the year 2007 is RM 43.20. ii. The price index of P in the year 2007 based on the year 2002 if its price index in the year 2004 based on the year 2002 is 110. b. The composite index of the cost of toy production for the year 2007 based on the year 2004 is 125. Calculate i. The value of x. ii. The price of the toy in the year 2004 if the corresponding price in the year 2007 is RM 75. 2. Table shows the prices, the price indices and weightage for four types of stationery A, B, C and D. Stationery Price per unit (RM) Price index for the year 2009 based on the year 2008 Weightage Year 2008 Year 2009 A 2.50 2.00 x 2 B 3.50 4.20 120 3 C 2.00 y 135 m D z 5.80 116 4 a. Find the value of i. x ii. y iii. z Page 1 of 5

Transcript of Exercise Chapter 11.docx

1. Table below shows the price indices and percentage of usage of four items, P, Q, R and S which are the main ingredients in the production of a type of toy.

Item Price index for the year 2007 based on the year 2004

Percentage of usage (%)

P 125 30Q x 20R 115 10S 135 40

a. Calculatei. The price of S in the year 2004 if its price in the year 2007 is RM 43.20.

ii. The price index of P in the year 2007 based on the year 2002 if its price index in the year 2004 based on the year 2002 is 110.

b. The composite index of the cost of toy production for the year 2007 based on the year 2004 is 125. Calculate

i. The value of x.ii. The price of the toy in the year 2004 if the corresponding price in the year

2007 is RM 75.

2. Table shows the prices, the price indices and weightage for four types of stationery A, B, C and D.

StationeryPrice per unit (RM) Price index for the

year 2009 based on the year 2008

WeightageYear 2008 Year 2009

A 2.50 2.00 x 2B 3.50 4.20 120 3C 2.00 y 135 mD z 5.80 116 4

a. Find the value of i. x

ii. yiii. z

b. The composite index for the price of the stationery in the year 2009 based on the year 2008 is 118.5. Calculate the value of m.

c. The total expenditure for the stationery in the year 2008 is RM 350. Calculate the corresponding total expenditure in the year 2009.

d. The price index for B in the year 2010 based on the year 2008 is 132. Calculate the price index for B in the year 2010 based on the year 2009.

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3. Diagram below shows a bar chart indicating the weekly cost of the items A, B, C, D and E for the year 2000. Table below shows the prices and the price indices for the items.

Items Price in 2000 (RM) Price in 2006 (RM) Price index in 2006 based on 2000

A x 1.75 140B 2.00 2.50 125C 4.00 4.80 yD 6.00 z 125E 2.50 2.75 110

a. Find the value ofi. x

ii. yiii. z

b. Calculate the composite index for items in the year 2006 based on the year 2000.c. The total monthly cost of the items in the year 2000 is RM 456. Calculate the

corresponding total monthly cost for the year 2006.d. The cost of the items increases by 15% from the year 2006 to the year 2009. Find

the composite index for the year 2009 based on the year 2000.

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4. Table below shows the prices and the price indices for the four ingredients P, Q, R and S used in making biscuits of a particular kind.

Ingredients Price per kg (RM) Price index for the year 2008 based on the year 2006Year 2006 Year 2008

P 0.80 x 125Q 2.00 2.80 yR z 0.60 150S 0.50 0.40 80

Diagram below is a pie chart which represents the relative amount of the ingredients P, Q, R and S used in making biscuits.

a. Find the value of x, y and z.b. Calculate the composite index for cost of making these biscuits in the year 2008.

Hence, calculate the corresponding cost of making these biscuits in the year 2008 if the cost in the year 2006 was RM 585.

c. The cost of making these biscuits is expected to increase by 40% from the year 2008 to year 2010. Find the expected composite index for the year 2010 based on the year 2006.

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