WordProblem on factors and remainder theorem

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Mr.Chaalu while travelling by Ferry queen has travelled the distance one Kilometer more, than the fare he paid per km. Initially he had total amount of Rs.350/- in his wallet. Now he is only left with the minimum sum of (if all the distance travelled by him is in integers)?

Options 1. Rs.26/- 2. Rs.8/- 3. Rs.29/- 4. Can't be determined.

Answer: Rs.8/-359

Need help on how to approach this problem

My Approach: Lets say distance travelled by Chaalu is x. Total distance covered by him is (x+1)

Lets say fare to pay per km is y

So (x+1)*y < 350

So we have to find pair of factors starting from 349/- but not sure upto which number

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On BEST ANSWER

The Fare/km is N, and the distance traveled is N+1, and the total fare is N*(N+1). When N is 18, the total fare is Rs.342. The remainder is Rs.8.