Subject

    Quantitative Aptitude

    Topic

    Ratio

    A person covers a certain distance by Train, Bus and Car in ratio 4 : 3: 2. The ratio of fare is 1 : 2 : 4 per km. The total expenditure as a fare is Rs. 720. Then, total expenditure as fare on train is:

    ক)
    Rs. 140
    খ)
    Rs. 150
    গ)
    Rs. 160
    ঘ)
    Rs. 170
    ঙ)
    None of these

    Explanation

    Let the journey covered by train, bus and car = ‘4a’, ‘3a’ and ‘2a’ respectively. Let fare of train, bus & car = ‘b’, ‘2b’ and ‘4b’ per km. Then, fare paid for train, bus & car = 4ab, 6ab, 8ab respectively. ∴ Total fare = 4ab + 6ab + 8ab = 18ab Given that, ⇒ 18ab = 720 Or, ab = 40 ∴ Fare spent on train = 4ab = 4 × 40 = Rs. 160.

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