Q274
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12 respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and the total amount collected by the sale of tickets was Rs. 1088, then find the collection from the passengers of 1st class.
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by and respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and the total amount collected by the sale of tickets was Rs. 1088, then find the collection from the passengers of 1st class.
A.
Rs. 260
B.
Rs. 280
C.
Rs. 300
D.
Rs. 320
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
Let the initial fares of 1st, 2nd and 3rd class be Rs. 8x, Rs. 6x, and Rs. 3x respectivelyLet the number of passengers of 1st, 2nd and 3rd class be 9y, 12y and 26y respectively
Then,
∴ Collection from passengers of 1st class = 60xy