The ratio of bus and train fares from Calcutta to a certain place is $3 : 4$ . If the train fare increases by $20 %$ and bus fare by $10 %$ then what will be new ratio of bus and train fares?

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Solution

Given ratio of bus and train fares from Calcutta to certain place is $3 : 4$
Let variable is $x$
Then fare of bus $= 3 x$
And fare of train $= 4 x$
The bus fare increased by $10 %$ , then new fare $= 3 x + \frac{3 x \times 10}{100} = 3 x + \frac{3 x}{10} = \frac{33 x}{10}$

The train fare increased by $20 %$ , then new fare $= 4 x + \frac{4 x \times 20}{100} = 4 x + \frac{4 x}{5} = \frac{24 x}{5}$

So, new ratio $= \frac{\frac{33 x}{10}}{\frac{24 x}{5}} = \frac{33 x \times 5}{24 x \times 10} = \frac{11}{16}$

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The ratio of bus and train fares from Calcutta to a certain place is 3:4. If the train fare increases by 20% and bus fare by 10% then what will be new ratio of bus and train fares?

The ratio of bus and train fares from Calcutta to a certain place is $3 : 4$ . If the train fare increases by $20 %$ and bus fare by $10 %$ then what will be new ratio of bus and train fares?