The following table shows number of firms in two different areas 'A' and 'B' according to their annual profits. Present the data by way of Lorenz curve.

Profit ('000' ₹) 6 25 60 84 105 150 170 400

Firms in Area A 6 11 13 14 15 17 10 14

Firms in Area B 2 38 52 28 38 26 12 4

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Solution

Firm in Area A Firms in Area B

Profit
(x) Cumulative sum Cumulative
% No. of firm c.f Cumulative
% No. of firms c.f. Cumulative
%

6
25
60
84
105
150
170
400 6
31
91
175
280
430
600
1000 .6
3.1
9.1
17.5
28
43
60
100 6
11
13
14
15
17
10
14 6
17
30
44
59
76
86
100 6
17
30
44
59
76
86
100 2
38
52
28
38
26
12
4 20
40
92
120
158
184
196
200 10
20
46
60
79
82
98
100

Σx = 1000

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Profit ('000' ₹)	6	25	60	84	105	150	170	400
Firms in Area A	6	11	13	14	15	17	10	14
Firms in Area B	2	38	52	28	38	26	12	4

			Firm in Area A			Firms in Area B
Profit (x)	Cumulative sum	Cumulative %	No. of firm	c.f	Cumulative %	No. of firms	c.f.	Cumulative %
6 25 60 84 105 150 170 400	6 31 91 175 280 430 600 1000	.6 3.1 9.1 17.5 28 43 60 100	6 11 13 14 15 17 10 14	6 17 30 44 59 76 86 100	6 17 30 44 59 76 86 100	2 38 52 28 38 26 12 4	20 40 92 120 158 184 196 200	10 20 46 60 79 82 98 100
Σx = 1000

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

The following table shows number of firms in two different areas 'A' and 'B' according to their annual profits. Present the data by way of Lorenz curve. Profit ('000' ₹) 6 25 60 84 105 150 170 400 Firms in Area A 6 11 13 14 15 17 10 14 Firms in Area B 2 38 52 28 38 26 12 4

The following table shows number of firms in two different areas 'A' and 'B' according to their annual profits. Present the data by way of Lorenz curve.

Profit ('000' ₹) 6 25 60 84 105 150 170 400

Firms in Area A 6 11 13 14 15 17 10 14

Firms in Area B 2 38 52 28 38 26 12 4

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10