Ratio and Proportion

Concept:Income is calculated as (number of passengers) × (fare per passenger).We use common multipliers to express the given ratios.Explanation:Let the number of passengers in AC, First, and Second class be $1k$, $2k$, and $7k$ respectively.Let the fare per passenger in these classes be $5m$, $4m$, and $2m$ respectively.Income from AC class = $1k \times 5m = 5km$.Income from First class = $2k \times 4m = 8km$.Income from Second class = $7k \times 2m = 14km$.Total income = $5km + 8km + 14km = 27km$.Given total income = ₹54000, so $27km = 54000$.Thus $km = \frac{54000}{27} = 2000$.Income from AC class = $5\text{ km} = 5 \times 2000 = \text{Rs. }10000$.Answer:₹10,000