Question

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

• A. 11 : 16
• B. 7 : 9
• C. 7 : 8
• D. 22 : 36

Answer 1

The correct option is A

11 : 16

Let the original bus and train fares be 3$x$ and 4$x$ respectively

As the bus fare increases by 10%, the new bus fare is :
3$x$ $\times$ 1.1 = 3.3$x$ or $\frac{33x}{10}$ .......... (Since 10% increase is equivalent to multiplying the quantity by 1.1)
And the train fare increases by 20%, the new fare is :
4$x$ $\times$ 1.2 = 4.8$x$ or $\frac{48x}{10}$ .......... (Since 20% increase is equivalent to multiplying the quantity by 1.2)
Hence the new ratio of bus and train fares
= $\frac{33x}{10}:\frac{48x}{10}$ = 33 : 48 = 11 : 16