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21 Mar 2025
GS Paper 1
Data Interpretation
Day 17: Study the following pie charts, which show the expenditure on various heads by two different states A and B. Answer the following questions.
(a) What is the ratio of expenditure in Agriculture in the state A and state B? (6 marks)
(b) By what percent, the expenditure in Transport increased in state B in comparison to state A? (6 marks)
(c) Find the difference between the expenditure in the social service by state A and expenditure in the Industry and Mining by state A and state B taken together. (6 marks)
(d) By what percent, the expenditure in Irrigation by state B is higher than the expenditure on Irrigation by state A. (6 marks)
(e) Find the average of all the expenditures in Village Industry by state A and state B, expenditure in social service by state A and state B, expenditure in agriculture by state A and B. (6 marks)
(f) Which state focused more on village industries? (6 marks)
(a) What is the ratio of expenditure in Agriculture in the state A and state B?
Answer:
Total Expenditure by State A = Rs 5000 crores
Expenditure in Agriculture in State A = 68° of 360° of total expenditure
= 68/360 * 5000 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in Agriculture in State B = 68° of 360° of total expenditure
= 68/360 * 8000 crores
Ratio = 68/360 * 5000 crores: 68/360 * 8000 crores
Hence, the ratio of the expenditure in Agriculture in state A and state B is 5:8.
(b) By what percent, the expenditure in Transport increased in state B in comparison to state A?
Answer:
Total Expenditure by State B = Rs 8000 crores
Expenditure in Transport in State B = 78° of 360° of total expenditure
= 78/360 * 8000 crores = 1733.3 crores
Total Expenditure by State A = Rs 5000 crores
Expenditure in Transport in State A = 65° of 360° of total expenditure
= 65/360 * 5000 crores = 902.7 crores
Hence, the Percentage increased in the expenditure in Transport in the state B in comparison to the state A,
= (1733.3 crores - 902.7 crores)/902.7 crores * 100
= 92.01%
(c) Find the difference between the expenditure in the social service by state A and expenditure in the Industry and Mining by state A and state B taken together.
Answer:
Total Expenditure by State A = Rs 5000 crores
Expenditure in the social service by state A = 102° of 360° of total expenditure
= 102/360 * 5000 crores = 1416.6 crores
Total Expenditure by State A = Rs 5000 crores
Expenditure in the Industry and Mining in State A = 41° of 360° of total expenditure
= 41/360 * 5000 crores = 569.4 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in the Industry and Mining in State B = 13° of 360° of total expenditure
= 13/360 * 8000 crores = 288.8 crores
Hence, the difference between the expenditure in the social service by state A and expenditure in the Industry and Mining by state A and state B taken together
= 1416.6 crores – (569.4 crores + 288.8 crores)
= 558.4 crores
(d) By what percent, the expenditure in Irrigation by state B is higher than the expenditure on Irrigation by state A.
Answer:
Total Expenditure by State B = Rs 8000 crores
Expenditure in the Irrigation in State B = 70° of 360° of total expenditure
= 70/360 * 8000 crores
Total Expenditure by State A = Rs 5000 crores
Expenditure in the Irrigation in State A = 70° of 360° of total expenditure
= 70/360 * 5000 crores
Hence, the Percentage increased in the expenditure in Irrigation in the state B in comparison to the state A, = (70/360 * 8000 crores - 70/360 * 5000 crores)/ (70/360 * 5000 crores) *100
= 60%
(e) Find the average of all the expenditures in Village Industry by state A and state B, expenditure in social service by state A and state B, expenditure in agriculture by state A and B.
Answer:
Total Expenditure by State A = Rs 5000 crores
Expenditure in the Village Industry in State A = 14° of 360° of total expenditure
= 14/360 * 5000 crores
= 194.4 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in the Village Industry in State B = 51° of 360° of total expenditure
= 51/360 * 8000 crores = 1133.3 crores
Total Expenditure by State A = Rs 5000 crores
Expenditure in the social service in State A = 102° of 360° of total expenditure
= 102/360 * 5000 crores = 1416.6 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in the social service in State B = 80° of 360° of total expenditure
= 80/360 * 8000 crores = 1777.7 crores
Total Expenditure by State A = Rs 5000 crores
Expenditure in the agriculture in State A = 68° of 360° of total expenditure
= 68/360 * 5000 crores
= 944.4 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in the agriculture in State B = 68° of 360° of total expenditure
= 68/360 * 8000 crores
= 1511.1 crores
Hence, the average of all the six expenditures, = (194.4 crores + 1133.3 crores + 1416.6 crores + 1777.7 crores + 944.4 crores + 1511.1 crores)/ 6
= 6977.5/6
= 1162.91 crores
(f) Which state focused more on village industries?
Answer:
Total Expenditure by State A = Rs 5000 crores
Expenditure in the village industry in State A = 14° of 360° of total expenditure
= 14/360 * 5000 crores = 194.4 crores
Total Expenditure by State B = Rs 8000 crores
Expenditure in the village industry in State B = 51° of 360° of total expenditure
= 51/360 * 8000 crores = 1133.3 crores
Expenditure on the village industry in State B is higher than the expenditure on the village industry in State A.
Hence, state B focused more on the village Industry.
