The table below presents the operational and storage metrics for the State Warehousing Corporation across four district hubs for FY 2024–25: | District Hub | Total Storage Capacity ('000 MT) | Actual Grain Stored ('000 MT) | Spoilage Rate (%) | Milling Processing Fee (₹/MT) | | :--- | :--- | :--- |

The table below presents the operational and storage metrics for the State Warehousing Cor… — State PSC Exam

The table below presents the operational and storage metrics for the State Warehousing Corporation across four district hubs for FY 2024–25:

District Hub	Total Storage Capacity ('000 MT)	Actual Grain Stored ('000 MT)	Spoilage Rate (%)	Milling Processing Fee (₹/MT)
Hub Alpha	$250$	$200$	$4\%$	$150$
Hub Beta	$400$	$350$	$2\%$	$120$
Hub Gamma	$300$	$240$	$5\%$	$200$
Hub Delta	$500$	$450$	$3\%$	$100$

Note: $1\text{ MT} = 1\text{ Metric Tonne}$ ; figures in capacity and stored columns are in thousands of MT.

If the government procurement cost of grain is $₹20,000$ per Metric Tonne, what is the total financial loss (in $₹\text{ Lakhs}$ ) incurred due to grain spoilage across Hub Alpha and Hub Gamma combined?

$₹4,000\text{ Lakhs}$ Answer
B
$₹5,000\text{ Lakhs}$
C
$₹1,600\text{ Lakhs}$
D
$₹4\text{ Lakhs}$

Answer

The total financial loss incurred due to grain spoilage across Hub Alpha and Hub Gamma combined is

₹4,000\text{ Lakhs}

To find the total financial loss due to spoilage across Hub Alpha and Hub Gamma, we calculate the spoiled quantity for each hub based on the actual grain stored (in MT):
- Hub Alpha:

200,000\text{ MT} \times 4\% = 8,000\text{ MT}

- Hub Gamma:

240,000\text{ MT} \times 5\% = 12,000\text{ MT}

Total spoiled quantity

= 8,000 + 12,000 = 20,000\text{ MT}

.
At

₹20,000

per MT, total loss

= 20,000 \times 20,000 = ₹400,000,000

. Expressed in Lakhs (

1\text{ Lakh} = 100,000

), this equals

₹4,000\text{ Lakhs}

Step-by-Step Solution

Calculate the actual quantity of spoiled grain in Hub Alpha

Spoiled grain in Alpha =

4\% \times 200,000\text{ MT} = 8,000\text{ MT}

Actual grain stored in Alpha is

200 \times 1,000 = 200,000\text{ MT}

and spoilage rate is

4\%

Calculate the actual quantity of spoiled grain in Hub Gamma

Spoiled grain in Gamma =

5\% \times 240,000\text{ MT} = 12,000\text{ MT}

Actual grain stored in Gamma is

240 \times 1,000 = 240,000\text{ MT}

and spoilage rate is

5\%

Find the combined total quantity of spoiled grain

Total spoiled grain =

8,000\text{ MT} + 12,000\text{ MT} = 20,000\text{ MT}

Combine the spoiled quantities from both hubs.

Compute the total financial loss in Rupees and convert to Lakhs

Total Loss =

20,000\text{ MT} \times ₹20,000/\text{MT} = ₹400,000,000 = ₹4,000\text{ Lakhs}

Multiply total spoiled MT by the cost per MT (

₹20,000

) and divide by

100,000

to express in Lakhs.

Key Concept

Data Interpretation from Tables: Multi-step calculation involving unit scale conversion, percentage bases, and aggregation

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