Multiple choice

The bus fare between two cities is increased in the ratio 29 : 31. What is the increase in the fare, if the original fare is Rs. 725?

  1. Rs. 50

  2. Rs. 775

  3. Rs. 155

  4. Rs. 310
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A Correct answer
Explanation

Original fare = 725. Ratio 29:31. Increase = (31 - 29) / 29 * 725 = (2/29) * 725 = 2 * 25 = 50.

AI explanation

Using the proportion method, the increased fare x relates to the original fare as 31 is to 29. We set up the equation x divided by 725 equals 31 divided by 29. Solving for x gives 725 times 31 divided by 29, which simplifies to 25 times 31, making the new fare Rs. 775. The increase in fare is the difference between the new fare and the original fare, calculated as 775 minus 725, giving Rs. 50.

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