Subject

    Quantitative Aptitude

    Topic

    Percentage

    John bought a vintage car for Rs. 200000. He increases the price of car by 10% every year. He sold the car after three years, but decreased the price of car every year by 10% in calculation by mistake. What is the ratio of price at which he should have sold the car and the price at which he actually sold the car?

    ক)
    121 : 81
    খ)
    1331 : 729
    গ)
    11 : 9
    ঘ)
    1 : 1
    ঙ)
    Cannot be determined

    Explanation

    Actual price of car after 3 years = 200000 × (1 + 10/100) × (1 + 10/100) × (1 + 10/100) = 200000 × 1.331 Calculated price of car after 3 years = 200000 × (1 - 10/100) × (1 - 10/100) × (1 - 10/100) = 200000 × 0.729 ∴ ratio of price at which he should have sold the car and the price at which he actually sold the car = 1.331/0.729 = 1331 : 729

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