Subject

    Quantitative Aptitude

    Topic

    Percentage

    A person gave 20% and 30% of his income to his younger son and elder son respectively, then he gave 10% of the remaining income to a beggar, and now he has only 10080 rupees. Find his total income.

    ক)
    Rs. 22,400
    খ)
    Rs. 18,220
    গ)
    Rs. 19,340
    ঘ)
    Rs. 17,800
    ঙ)
    None of these

    Explanation

    Let total income of the person be x rupees So, the remaining amount after giving his sons =x−(x×20100+x×30100)=x2= x - \left( {x \times \frac{{20}}{{100}} + \frac{{x \times 30}}{{100}}} \right) = \frac{x}{2} rupees ∴ Amount remaining after giving 10% to the beggar =x2−(x2×10100)=9x20= \frac{x}{2} - \left( {\frac{x}{2} \times \frac{{10}}{{100}}} \right) = \frac{{9x}}{{20}} rupees Now, according to the question – 9x20=10080\frac{{9x}}{{20}} = 10080 ⇒x=1120×20=22,400⇒x=1120×20=22,400 rupees

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