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Question
The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if:
- the original fare is Rs. 245;
- the increased fare is Rs. 207.
Solution
According to the given information,
Increased (new) bus fare = `9/7` × original bus fare
i. We have:
Increased (new) bus fare = `9/7` × Rs. 245 = Rs. 315
∴ Increase in fare = Rs. 315 – Rs. 245 = Rs. 70
ii. We have:
Rs. `207 = 9/7` × original bus fare
Original bus fare = Rs. `207 xx 7/9` = Rs. 161
∴ Increase in fare = Rs. 207 – Rs. 161 = Rs. 46
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