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The first,second and third class fares between two stations were 10 : 8 : 3 and the number of first, second and third class passengers between the two stations in a year was 3 : 4 : 10.The sale of tickets to passengers in the year was Rs.8050.How much amount was realised by the sale of second class tickets?

The first,second and third class fares between two stations were 10 : 8 : 3 and the number of first, second and third class passengers between the two stations in a year was 3 : 4 : 10.The sale of tickets to passengers in the year was Rs.8050.How much amount was realised by the sale of second class tickets? Correct Answer 2800

Ratio between the first class, second class and third class fares = 10 : 8 : 3

Ratio between the number of passengers of first class, second class and third class

 = 3 : 4 : 10

∴ Compounding the two ratios,

Ratio between money collected from first class, second class and third class passengers =  10 × 3 : 8 × 4 : 3 × 10 = 30 : 32 : 30 = 15 : 16 : 15

∴ Sum of Ratio numbers = 15 + 16 + 15 = 46

Total amount = Rs. 8050

∴ Amount realised by the sale of second class tickets = (16/46) × 8050 = 2800

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