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Difficulty: Very hardCaselets and Paragraph-Based Data

In a state public infrastructure development scheme for the fiscal year 2025–26, a total budget of ₹9,0009,000 crore was allocated across four major sectors: Agriculture Irrigation, Highway Expansion, Solar Infrastructure, and Rural Electrification.

Agriculture Irrigation received 28%28\% of the total allocated budget. The budget allocated to Highway Expansion was 37.5%37.5\% more than the budget allocated to Agriculture Irrigation. The remaining allocated budget was divided between Solar Infrastructure and Rural Electrification in the ratio 5:45 : 4.

Regarding the actual expenditures recorded at the end of the fiscal year:
- Agriculture Irrigation utilized 85%85\% of its allocated funds.
- Highway Expansion utilized 92%92\% of its allocated funds.
- Solar Infrastructure had an unspent budget of ₹315315 crore.
- Rural Electrification spent an amount equal to 1.251.25 times the unspent budget of Agriculture Irrigation.

Based on the information provided, what is the total unspent budget across all four sectors combined, expressed in crore rupees?

Answer: 1837.7 crore rupees

Answer

The total unspent budget across all four sectors combined is 1837.7 crore rupees.
By accurately deriving each sector's allocation from the given base percentage, percentage increment, and ratio, and then computing the respective unspent components according to the expenditure conditions, the total unspent amount is determined to be 1837.7 crore rupees.

Step-by-Step Solution

1
Calculate allocations for Agriculture Irrigation and Highway Expansion
Agriculture Irrigation = ₹2,520 crore; Highway Expansion = ₹3,465 crore
Agriculture Irrigation receives 28% of 9,000 crore = 2,520 crore. Highway Expansion gets 37.5% more than Agriculture Irrigation, which is 2,520 * (1 + 0.375) = 3,465 crore.
2
Calculate allocations for Solar Infrastructure and Rural Electrification
Solar Infrastructure = ₹1,675 crore; Rural Electrification = ₹1,340 crore
Remaining budget = 9,000 - (2,520 + 3,465) = 3,015 crore. Dividing 3,015 in ratio 5:4 gives (5/9)*3,015 = 1,675 crore for Solar and (4/9)*3,015 = 1,340 crore for Rural Electrification.
3
Determine unspent amounts for each sector individually
Agriculture Irrigation Unspent = ₹378 crore; Highway Expansion Unspent = ₹277.2 crore; Solar Infrastructure Unspent = ₹315 crore; Rural Electrification Unspent = ₹867.5 crore
15% of Agriculture Irrigation budget is unspent = 0.15 * 2,520 = 378 crore. 8% of Highway Expansion budget is unspent = 0.08 * 3,465 = 277.2 crore. Solar unspent is given as 315 crore. Rural Electrification expenditure is 1.25 * 378 = 472.5 crore, leaving 1,340 - 472.5 = 867.5 crore unspent.
4
Sum unspent amounts across all four sectors
Total Unspent Budget = ₹1,837.7 crore
Summing unspent amounts: 378 + 277.2 + 315 + 867.5 = 1,837.7 crore rupees.

Key Concept

Multi-step caselet data extraction, ratio division, percentage calculation, and aggregation
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Topics

Caselets and Paragraph-Based Data

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