Question

Difficulty: HardMissing Data Interpretation

The following table provides the annual expenditure (in ₹ Crores) of four administrative departments in a state over three fiscal years, with some values missing (indicated by dashes '—').

Department2021-222022-232023-24Total Expenditure
Agriculture4505201450
Education6807402000
Healthcare3504201250
Infrastructure8209701110
Total22002850

Based on the data provided, what is the difference (in ₹ Crores) between the average department expenditure in 2022-23 and the average department expenditure in 2021-22?

Answer: 87.5 ₹ Crores

Answer

The difference between the average department expenditure in 2022-23 and 2021-22 is 87.5 ₹ Crores.
To find the difference between the average expenditures, we calculate the missing values first. For 2021-22, Education expenditure is 2000(680+740)=5802000 - (680 + 740) = 580 ₹ Crores. Total 2021-22 expenditure is 450+580+350+820=2200450 + 580 + 350 + 820 = 2200 ₹ Crores, making the average 2200/4=5502200 / 4 = 550 ₹ Crores. For 2022-23, Agriculture expenditure is 1450(450+520)=4801450 - (450 + 520) = 480 ₹ Crores. Total 2022-23 expenditure across all four departments is 480+680+420+970=2550480 + 680 + 420 + 970 = 2550 ₹ Crores, making the average 2550/4=637.52550 / 4 = 637.5 ₹ Crores. The difference between the averages is 637.5550=87.5637.5 - 550 = 87.5 ₹ Crores.

Step-by-Step Solution

1
Find missing 2021-22 Education expenditure
580 ₹ Crores
Subtracting known expenditures (680 and 740) from the Education row total (2000 gives 20001420=5802000 - 1420 = 580.
2
Compute 2021-22 average department expenditure
550 ₹ Crores
The sum for 2021-22 is 2200 ₹ Crores. Dividing by 4 departments gives 2200/4=5502200 / 4 = 550.
3
Find missing 2022-23 Agriculture expenditure
480 ₹ Crores
Subtracting known expenditures (450 and 520) from Agriculture row total (1450) gives 1450970=4801450 - 970 = 480.
4
Compute 2022-23 average department expenditure
637.5 ₹ Crores
Summing 2022-23 department values (480+680+420+970=2550480 + 680 + 420 + 970 = 2550) and dividing by 4 gives 2550/4=637.52550 / 4 = 637.5.
5
Subtract 2021-22 average from 2022-23 average
87.5 ₹ Crores
Calculating 637.5550=87.5637.5 - 550 = 87.5 ₹ Crores.

Key Concept

Deriving missing grid values using row totals and computing comparative averages.
Estimated Time:2m 30s
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