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    Subject

    Quantitative Aptitude

    Topic

    Ratio

    The ratio of earnings of Amit and Babu is 3 : 5. If the earnings of Amit increase by 20% and the earnings of Babu decrease by 20%, the new ratio of their earnings becomes 9 : 10.  What is Amit’s earning?

    ক)
    1200
    খ)
    1800
    গ)
    2100
    ঘ)
    Cannot be determine
    ঙ)
    None of these

    Explanation

    Let Amit’s earning be a rupees per month and Babu’s earnings be Rs. b per month. We have a : b = 3 : 5 -------------[1] And After increase in earnings, Amit’s income = a + 20% of a ⇒ a + 20/100 × a = a + 0.2a = 1.2a and After decrease in earnings, Babu’s salary = b - 20% of b ⇒ b - 20/100 × b = b – 0.2b = 0.8b Now, we have 1.2a : 0.8b = 9 : 10 ⇒1.2a × 10 = 0.8b × 9 ⇒ a/b = 3/5 We only know ratio, we could not reach at any decisive step, we can say that their earnings cannot be determined.

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