Question

The bus fare between two cities is increased in the ratio $7:9$. Find the increase in the fare if:
$\left(ii\right)$The increased fare is $₹207$

Answer 1

Find the increase in the fare if the increased fare is $₹207$

The increased fare is $₹207$
i.e., New bus fare $=₹207$
$\therefore 207=\frac{9}{7}\times$Original bus fare
Original bus fare $=207\times \frac{7}{9}$
$=23\times 7$
$=161$
$\therefore$ Increase in fare $=₹207-₹161$
$=₹46$

Hence, the increase in fare $₹46$.