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Question

The ratio of first and second class train fares between two station is $3 : 1$ and that of the number of passengers travelling between these stations by first and second class is $1 : 50.$ If on a particular day $R s . 1325$ be collected from the passengers travelling between these stations, then the amount collected from the second class passengers is:

A

R s . 1250

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B

R s . 1000

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C

R s . 850

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D

R s . 750

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Solution

The correct option is B $R s . 1250$
Let the 1st class fare is Rs. $3 x$ and the $2$ nd class fare is Rs. $x$ .
Let the number of passengers travelling in 1st class = $y$
Then, the number of passengers travelling in 2nd class = $50 y$
$∴ 3 x t + 50 x t = 1325 \Rightarrow 53 x y = 1325 \Rightarrow x y = R s . 25$
$∴ A m o u n t c o l l e c t e d f r o m 2 n d c l a s s p a s s e n g e r s = 50 \times R s . 25 = R s . 1250$

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