The ratio of the first and second class fares between the two stations is 5 : 4 and the no. of passenger travelling by first and second class is 1 : 30 If Rs. 5000 is collected as total fare what is the amount collected from fist class passenge
Answer with explanationAnswer: Option B
Ratio of the first and second class fares = 5 : 4
Ratio of number of passenger travelling by first and second class = 1 : 30
Total fare = Rs. 5000
Let the first class fare and second class fare be 5X and 4X respectively.
And the number of passenger travelling by first and second class be Y and 30 Y respectively.
As per the question,
Total fare from first class + Total fare from second class = Total fare
(5X*Y ) + (4X*30Y) = 5000
5XY + 120XY = 5000
125XY = 5000
XY = 40
Therefore, amount collected from fist class passenger = 5XY = 5(40) = Rs. 200.
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