Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Four transport companies A, B, C and D rented a parking place. A kept 12 cars for 5 months, B kept 20 cars for 6 months, C kept 15 cars for 5 months and D kept 30 cars for 6 months in the parking place. If A’s share of rent is Rs. 2400, the total rent of the parking place is

    ক)
    Rs. 17400
    খ)
    Rs. 16500
    গ)
    Rs. 18600
    ঘ)
    Rs. 19200
    ঙ)
    None of these

    Explanation

    Given, Four transport companies are A, B, C and D Number of cars kept by A in the parking place = 12 Number of months kept in parking = 5 months Total number of car-months kept by A = 5 × 12 = 60 Number of cars kept by B in the parking place = 20 Number of months kept in parking = 6 months Total number of car-months kept by B = 6 × 20 = 120 Number of cars kept by C in the parking place = 15 Number of months kept in parking = 5 months Total number of car-months kept by C = 5 × 15 = 75 Number of cars kept by D in the parking place = 30 Number of months kept in parking = 6 months Total number of car-months kept by D = 6 × 30 = 180 ∴ Total number of cars kept in parking = 60 + 120 + 75 + 180 = 435 A’s share in the rent = Rs. 2400 ∴ 60 car-months =  2400 435 car-months = (2400/60) × 435 ⇒ Total rent of the parking place = (435/60) × 2400 = Rs. 17,400 ∴ Total rent of parking place = Rs. 17,400

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