Subject

    Quantitative Aptitude

    Topic

    Percentage

    A salesman is appointed on the basic salary of Rs. 1200 per month and the condition that for every sales of Rs. 10,000 above Rs. 10,000, he will get 50% of basic salary and 10% of the sales as a reward. This incentive scheme does not operate for the first Rs. 10000 of sales. What should be the value of sales if he wants to earn Rs. 7600 in a particular month?

    ক)
    Rs. 60,000
    খ)
    Rs. 50,000
    গ)
    Rs. 40,000
    ঘ)
    None of these
    ঙ)
    Rs. 70000

    Explanation

    Let ‘x’ is the number of Rs. 10000 sales he achieves over the initial Rs. 10000. For every Rs. 10000 sale he gets 50% of basic salary and 10% of the sales as a reward. i.e. 1200×50100+10000×10100=Rs.16001200 \times \frac{{50}}{{100}} + 10000 \times \frac{{10}}{{100}} = Rs.1600 So, for every Rs. 10000 over the initial Rs. 10000, he will get Rs. 1600 extra. ∴ For ‘x’ number of extra sales of Rs. 10000 each, He will get Rs. 1600x. ∴ His total income = His basic salary + extra income = 1200 + 1600x Given that, He wants to earn = Rs. 7600 ⇒ 1200 + 1600x = 7600 ⇒ x = 4 ∴ 4 sales of Rs. 10000 he achieves over the initial Rs. 10000. i.e. total sale = 10000 + 10000 × 4 = Rs. 50000

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