Question

The bus fare between two cities is increased in the ratio $7:9$. Find the increase in the fare, if:
(i) the original fare is Rs $245$
(i) the increased fare is Rs $207$

Answer 1

Given

Increased (new) bus fare $=\frac{9}{7}\times$ original bus fare

(i) We have:

Increased (new) bus fare $=\frac{9}{7}\times$ Rs $245=$ Rs $315$

So, increase in fare = Rs $315-$Rs $245=$ Rs $70$.

(ii) We have:

Rs $207=$ $\frac{9}{7}\times$ original bus fare

Original bus fare = Rs $207$$\times \frac{9}{7}$ = Rs $161$

So, increase in fare = Rs $207-$ Rs $161$ = Rs $46$.