144. If Indian Railways' total route length grows at 0.5\% annually while electrified routes grow at 6\% annually from 2022-23 figures, and freight earnings grow at 8\% annually from Rs.1,62,263 crores, what will be the ratio of non-electrified route km to freight earnings (in crore rupees) in 2024-25?
Key Concept: Route length, Electrification, Freight earnings
b) 1:53.17
[Solution Description]
First calculate 2024-25 total route length: Current is 68,103 km. Growth for 2 years = 68,103 × (1.005)$^2$ = 68,103 × 1.010025 ≈ 68,786 km.
Next calculate electrified route in 2024-25: Current is 58,070 km. Growth for 2 years = 58,070 × (1.06)$^2$ = 58,070 × 1.1236 ≈ 65,227 km.
Non-electrified route = Total - Electrified = 68,786 - 65,227 ≈ 3,559 km.
Freight earnings in 2024-25: Current Rs.1,62,263 crores. Growth for 2 years = 1,62,263 × (1.08)$^2$ = 1,62,263 × 1.1664 ≈ Rs.1,89,264 crores.
Required ratio = Non-electrified route / Freight earnings = 3,559 / 1,89,264 ≈ 0.0188 ≈ 1:53.17
Your Answer is correct.
b) 1:53.17
[Solution Description]
First calculate 2024-25 total route length: Current is 68,103 km. Growth for 2 years = 68,103 × (1.005)$^2$ = 68,103 × 1.010025 ≈ 68,786 km.
Next calculate electrified route in 2024-25: Current is 58,070 km. Growth for 2 years = 58,070 × (1.06)$^2$ = 58,070 × 1.1236 ≈ 65,227 km.
Non-electrified route = Total - Electrified = 68,786 - 65,227 ≈ 3,559 km.
Freight earnings in 2024-25: Current Rs.1,62,263 crores. Growth for 2 years = 1,62,263 × (1.08)$^2$ = 1,62,263 × 1.1664 ≈ Rs.1,89,264 crores.
Required ratio = Non-electrified route / Freight earnings = 3,559 / 1,89,264 ≈ 0.0188 ≈ 1:53.17