The ratio of bus and train fares from Kolkata to Digha is 3:4. If the train fare increased by 20% and bus fare by 10% then what will be new ratio of bus and train fares?
Answers
Answer:
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Step-by-step explanation:
Given :-
The ratio of bus and train fares from Kolkata to Digha is 3:4 and the train fare increased by 20% and bus fare by 10%.
To find :-
What will be new ratio of bus and train fares?
Solution :-
Given that
The ratio of bus and train fares from Kolkata to Digha = 3:4
Let they be 3X and 4X
The fare of bus = Rs. 3X
The fare of train = Rs. 4X
If the bus fare increased by 10% then
Increasing amount = 10% of 3X
=> 10% × 3X
=> (10/100)×3X
=> (1/10)×3X
=> Rs. 3X/10
The new fare of the bus
=> 3X+(3X/10)
=> (30X+3X)/10
=> Rs. 33X/10
If the train fare increased by 20% then
Increasing amount = 20% of 4X
=> 20% × 4X
=> (20/100)×4X
=> (1/5)×4X
=> Rs. 4X/5
The new fare of train
=> 4X+(4X/5)
=> (20X+4X)/5
=>Rs. 24X/5
The ratio of the new fares of the bus and train
=> (33X/10):(24X/5)
=> (33X/10)/(24X/5)
=> (33X/10) × (5/24X)
=> (33X×5)/(10×24X)
=> 165X/240X
=> 165/240
=> 33/120
=> 11/40
=> 11:40
Answer:-
The ratio of the new fares of the bus and train = 11:40
Used formulae:-
→ a:b can be written as a/b