Ratios & Proportion
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Q.

On a certain day, the ratio of the passenger in the 1st class and the second class travelling by train is $1:3$. the ratio of the fares collected from each first class and second class passengers is $30:1$. If the total amount collected from all the passengers is Rs 1,320. Find the amount in Rs, collected from the second class passengers.

 A.

240

 B.

360

 C.

480

 D.

120

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Solution:
Option(D) is correct

Let the number of passengers travelling by first class and second class be $x$ and $3x$ respectively.


Lets the fares collected from each of the first class and second class passengers be $30y$ and $y$ respectively.

Hence

$x(30y)+3x(y)=30xy+3xy=33xy=1320$

$xy=40.$

Total amount collected from the second class $=3xy=3×40= \textbf{Rs 120}$.

Edit: For an alternative solution, check comment by Zoha Amjad.


(2) Comment(s)


Sumit
 ()

1st class 2nd class

1 3

fair 30 1

------------------------------------

30 3 // 30*40=1200 and 3*40=120

30+3=33

1320/33=40



Zoha Amjad
 ()

$1:3$ (ratio of 1st class to 2nd class passengers)

$30:1$ (ratio of fares charged to 1st class to 2nd class passengers)

$1*30 : 3*1$

$30:3$ or $10:1$

Amount charged to second class,

$=\dfrac{1}{11}\times 1320 = 120$