Question

The bus and train fare between two cities is in the ratio 3:4. If the bus fare increases by 10% and the train fare
increases by 20%. Which of the following is the ratio of the new fares?​

Answer 1

Answer:

∴ Ratio of the new fares is 11:16

Step-by-step explanation:

The bus and train fare between two cities is in the ratio 3:4

Let's assume that, the proportionality constant is x.

∴ Bus fare is 3x and train fare is 4x.

Now the bus fare increases by 10%

∴ Revised bus fare is $(1 + \frac{10}{100} ) 3x$ $=3.3x$

And the train fare increases by 20%

∴ Revised train fare is $(1 + \frac{20}{100} ) 4x$ $=4.8x$

∴ Ratio of the new fares is 3.3:4.8 = 11:16