Sandeep Garg Class 11 Economics Solutions Economics Chapter 9 – Index Numbers are prepared by professional economics educators from the contemporary edition of Sandeep Garg Economics Class 11 textbook solutions.
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Here are some questions with solutions on Index numbers.
Sandeep Garg Solutions Class 11 – Chapter 9
Question 1
Arrange an index number for the year 2015 on the basis of 2010 using the simple aggregative method:
Goods | Unit | Cost | |
2010 | 2015 | ||
Potato | Kilo | 100 | 500 |
Tomato | Kilo | 400 | 250 |
Onion | Kilo | 200 | 400 |
Oil | litre | 4 | 5 |
Fabric | meter | 2 | 3 |
ANSWER:
Goods | 2010 Price
(P0) |
2015 Price
(P1) |
Potato
Tomato Onion Oil Fabric |
100
400 200 4 2 |
500
250 400 5 3 |
ΣP0 = 702 | ΣP1 = 928 |
P01 =
P01 =
P01 = 132
Question 2
Form an index number using 2010 price:
Items | P | Q | R | S | T | U |
Prices (2011) | 220 | 50 | 370 | 110 | 70 | 90 |
Prices (2016) | 250 | 80 | 500 | 130 | 72 | 100 |
ANSWER:
Items | Price in 2011
(P0) |
Price in 2016
(P1) |
P
Q R S T U |
220
50 370 110 70 90 |
250
80 500 130 72 100 |
ΣP0 = 910 | ΣP1 = 1152 |
P01 =
P01 =
P01 = 126.59
Question 3
Prepare an index number for 2014 on the basis of 2010 from the below data using aggregate expenditure method.
Particulars | Quantity (kg.) | Prices | |
2010 | 2014 | ||
G | 9 | 21 | 25 |
H | 6 | 20 | 22 |
I | 4 | 19 | 23 |
J | 3 | 9 | 10 |
K | 3 | 5 | 9 |
Answer:
Article | 2010 Price
(P0) |
2014 Price
(P1) |
Quantity
(Q0) |
P0Q0 | P1Q0 |
G
H I J K |
21
20 19 9 5 |
25
22 23 10 9 |
9
6 4 3 3 |
189
120 76 27 15 |
225
132 92 30 27 |
ΣP0Q0 = 427 | ΣP1Q0 = 506 |
The consumer price index for the year 2014 is
=
= 118.50
Question 4
Calculate the consumer index number by using the family budget method.
Items | Quantity | Base Price Year | Current Price Year |
Rent | 45 | 200 | 225 |
Food | 20 | 300 | 350 |
Clothing | 8 | 150 | 175 |
Fuel | 10 | 100 | 110 |
Misc. | 17 | 200 | 250 |
Answer:
Items | Base Price Year (P0) | Current Price Year
(P1) |
\(\begin{array}{l}I \,=\, \frac{P_{1}}{P_{0}} \, \times \, 100\end{array} \) |
Quantity
(Q0) |
P0Q0
(W) |
RW |
Rent | 200 | 225 | 112.5 | 45 | 9000 | 1012500 |
Food | 300 | 350 | 116.66 | 20 | 6000 | 699960 |
Clothing | 150 | 175 | 116.66 | 8 | 1200 | 139992 |
Fuel | 100 | 110 | 110 | 10 | 1000 | 110000 |
Misc. | 200 | 250 | 125 | 17 | 3400 | 425000 |
ΣW= 20600 | ΣWI = 2387452 |
The consumer price index for the current year as per family budget method is:
Question 5
Arrange an index for 2015 taking 2010 using a simple aggregate and price relatives method
Items | A | B | C | D |
Year 2010 Price | 20 | 40 | 50 | 70 |
Year 2015 Price | 30 | 50 | 70 | 90 |
Answer:
Simple Aggregate Method
Items | 2010 Price (P0) |
2015 Price (P1) |
A B C D |
20 40 50 70 |
30 50 70 90 |
ΣP0 = 180 | ΣP1 = 240 |
= 240/180 × 100
= 133.33
Price Relative Method
Items | Year 2010 Price (P0) | Year 2015 Price (P1) | \(\begin{array}{l}R \,=\, \frac{P_{1}}{P_{0}} \, \times \, 100\end{array} \) |
A | 20 | 30 | 150 |
B | 40 | 50 | 125 |
C | 50 | 70 | 140 |
D | 70 | 90 | 128.57 |
N= 4 | Â Â
= 543.57 |
Simple Average of Price Relatives
P01 = 543.57/ 4
= 135.89
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