Select the correct answerThe train fare and bus fare between two stations is in the ratio 3 : 4. If the train fare increases by 20% and bus fare increases by 30%, then what is the ratio between revised train fare and revised bus fare?Options17 : 129 : 1332 : 4319 : 21
Question
Select the correct answerThe train fare and bus fare between two stations is in the ratio 3 : 4. If the train fare increases by 20% and bus fare increases by 30%, then what is the ratio between revised train fare and revised bus fare?Options17 : 129 : 1332 : 4319 : 21
Solution
Let's solve this step by step:
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Let's assume the initial train fare is 3x and the initial bus fare is 4x.
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According to the problem, the train fare increases by 20%. So, the new train fare is 3x + 20% of 3x = 3x + 0.6x = 3.6x.
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Similarly, the bus fare increases by 30%. So, the new bus fare is 4x + 30% of 4x = 4x + 1.2x = 5.2x.
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Now, we need to find the ratio of the new train fare to the new bus fare. This is 3.6x : 5.2x.
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To simplify this ratio, we can divide both sides by the common factor, which is 0.4x. Doing this gives us 9 : 13.
So, the ratio of the revised train fare to the revised bus fare is 9 : 13. Therefore, the correct answer is 9 : 13.
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