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The train fare, bus fare and air fare between 2 places are in the ratio 5: 8 : 12, the number of passengers travelled by them is in the ratio 3 : 4: 5
Question

The train fare, bus fare and air fare between 2 places are in the ratio 5: 8 : 12, the number of passengers travelled by them is in the ratio 3 : 4: 5 and the total fare collected on a particular day for these modes of transportation for a single trip is Rs.1,07,000. Find the total fare collected from the air passengers.

A.

Rs.80,000

B.

Rs.60,000

C.

Rs.70,000

D.

Rs.65,000

Correct option is B

​Given:
train fare, bus fare, and air fare between two places be in the ratio 5:8:12
number of passengers who traveled by train, bus, and air are in the ratio 3:4:5
Solution:
Compound ratio of fares and number of travelers of train, bus and air.
= 5 × 3 : 8 × 4 : 12 × 5
= 15 : 32 : 60
Fare collected from air passengers.
60(15+32+60)×107000=60000\frac{60}{(15 + 32 + 60)} × 107000 = 60000​​
Fare collected from air passengers is;
Rs.60000.

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