Question: The ratio of the first and second class fares between two stations is 4: 1 and that of the number of passengers travelling by the first and second class is 1: 40. If Rs. 11000 is collected as total fare, then the amount collected from the first class passengers is
Options:
A) Rs. 1375
B) Rs. 3150
C) Rs. 800
D) Rs. 1000
Show Answer
Answer:
Correct Answer: D
Solution:
- (d) Let number of passengers in first class be x and number of passengers in second class be $ 40x. $
Then, total amount of first class $ =4x $
and total amount of second class $ =40x $
$ \therefore $ Ratio of the amounts collected from the first class and the second class passengers = 4: 40
$ \therefore $ Amount collected from the first class passengers $ =\frac{a}{a+b}\times 11000 $
where, $ a=4 $ and $ b=40 $
$ =\frac{4}{4+40}\times 11000=\frac{4\times 11000}{44}=Rs\text{. 1000} $