Class 11-commerce TR JAIN AND VK OHRI Solutions Statistics for Economics Chapter 13: Index Numbers
Index Numbers Exercise 370
Solution SAQ 1
Solution SAQ 2
Solution SAQ 3
Index Numbers Exercise 371
Solution SAQ 4
|
|
q0 |
p0 |
p0q0 |
p1 |
q1 |
p1q1 |
p1q0 |
p0q1 |
|
A |
3 |
5 |
15 |
8 |
2 |
16 |
24 |
10 |
|
B |
7 |
4 |
28 |
6 |
5 |
30 |
42 |
20 |
|
C |
4 |
7 |
28 |
10 |
3 |
30 |
40 |
21 |
|
D |
6 |
6 |
36 |
7 |
5 |
35 |
42 |
30 |
|
|
|
|
𝛴p0q0 = 107 |
|
|
𝛴p1q1 = 111 |
𝛴p1q0 = 148 |
𝛴p0q1 = 81 |
Solution SAQ 5
|
|
p0 |
q0 |
p1 |
q1 |
p0q0 |
p1q1 |
p0q1 |
p1q0 |
|
Good I |
5 |
10 |
4 |
12 |
50 |
48 |
60 |
40 |
|
Good II |
8 |
6 |
7 |
7 |
48 |
49 |
56 |
42 |
|
Good III |
6 |
3 |
5 |
4 |
18 |
20 |
24 |
15 |
|
|
|
|
|
|
𝛴p0q0 = 116 |
𝛴 p1q1 = 117 |
𝛴p0q1 = 140 |
𝛴p1q0 = 97 |
Solution SAQ 6
|
|
q0 |
p0 |
p0q0 |
p1 |
q1 |
p1q1 |
p1q0 |
p0q1 |
|
A |
24 |
8 |
192 |
30 |
10 |
300 |
240 |
240 |
|
B |
9 |
3 |
27 |
10 |
4 |
40 |
30 |
36 |
|
C |
16 |
5 |
80 |
20 |
8 |
160 |
100 |
128 |
|
D |
10 |
3 |
30 |
9 |
4 |
36 |
27 |
40 |
|
|
|
|
𝛴p0q0 = 329 |
|
|
𝛴p1q1 = 536 |
𝛴p1q0 = 397 |
𝛴 p0q1 = 444 |
Solution SAQ 7
Solution SAQ 8
|
|
P0 |
q0 |
P0q0 |
P1 |
q1 |
P1q0 |
|
A |
70 |
7 |
490 |
80 |
6 |
560 |
|
B |
62 |
3 |
186 |
74 |
2 |
222 |
|
|
|
|
𝛴 P0q0 = 676 |
|
|
𝛴P1q0 = 782 |
Index Numbers Exercise 372
Solution SAQ 9
|
|
p0 |
q0 |
p0q0 |
p1 |
q1 |
p1q1 |
p0q1 |
p1q0 |
|
A |
0.8 |
10 |
8 |
0.7 |
11 |
7.7 |
8.8 |
7 |
|
B |
0.85 |
8 |
6.8 |
0.9 |
9 |
8.1 |
7.65 |
7.2 |
|
C |
1.35 |
5 |
6.5 |
0.8 |
5.5 |
4.4 |
7.15 |
4 |
|
|
|
|
𝛴p0q0 = 21.3 |
|
|
𝛴p1q1 = 20.2 |
𝛴p0q1 = 23.60 |
𝛴 p0q1 = 18.2 |
Solution SAQ 10
Solution SAQ 11
|
Items |
Price (P) |
Weights (W) |
PW |
|
Wheat |
241 |
10 |
2410 |
|
Rice |
150 |
4 |
600 |
|
Maida |
200 |
2 |
400 |
|
Pulses |
170 |
2 |
340 |
|
Oil |
125 |
2 |
250 |
|
|
|
𝛴W = 20 |
𝛴PW = 4000 |
Solution SAQ 12
|
Items |
Price (P) |
Weights (W) |
PW |
|
Food |
125 |
40 |
5000 |
|
Fuel |
120 |
10 |
1200 |
|
Cloth |
66.67 |
25 |
16 66.75 |
|
House rent |
120 |
15 |
1800 |
|
Miscellaneous |
150 |
10 |
1500 |
|
|
|
𝛴W = 100 |
𝛴PW = 11166.75 |
Index Numbers Exercise 373
Solution SAQ 13
|
Items |
q1 |
P0 |
P1 |
P1q1 |
P0q1 |
|
Rice |
30 |
12 |
25 |
750 |
360 |
|
Pulses |
36 |
0.4 |
0.6 |
21.6 |
14.4 |
|
Oil |
24 |
1.5 |
2.2 |
52.8 |
36 |
|
Clothing |
72 |
0.75 |
10 |
720 |
54 |
|
Housing |
1 |
20 |
30 |
30 |
20 |
|
Miscellaneous |
1 |
20 |
15 |
15 |
20 |
|
|
|
|
|
𝛴 P1q1 = 1589.4 |
𝛴 P0q1=504.4 |
Solution SAQ 14
|
|
q1 |
q0 |
P1 |
P1q0 |
P0q0 |
|
A |
25 |
16 |
35 |
560 |
400 |
|
B |
36 |
7 |
48 |
336 |
252 |
|
C |
12 |
3.5 |
16 |
56 |
42 |
|
D |
6 |
2.5 |
10 |
25 |
15 |
|
E |
28 |
4 |
28 |
112 |
112 |
|
|
|
|
|
𝛴 P1q0 = 821 |
𝛴 P0q0=1089 |
Solution SAQ 15
Yes, as per aggregate expenditure method, CPI is 113.33. On the contrary, family budged method gives CPI as 145.64. The difference is equal to 32.31.
Solution SAQ 16
Index Numbers Exercise 374
Solution SAQ 17
Solution SAQ 18
