| 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 [SSC (CGL) 2014] |
A) Rs. 1375
B) Rs. 3150
C) Rs. 800
D) Rs. 1000
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 \[b=40\] |
| \[=\frac{4}{4+40}\times 11000=\frac{4\times 11000}{44}=\text{Rs}\text{. 1000}\] |
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