CAT-2021-QA-Slot-1/Free CAT Question papers

1).

Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is


    Explanation

    If the remaining pains are sold at ₹ 9 each instead of ₹ 11 each, i.e., at ₹ 9 less, Amal earns a net  loss of ₹ 300 instead of a net loss of ₹ 300

    It implies that if the price per pen is ₹ 2 less, then ₹ 600 less are made

    If remaining pens number x

          2x = 600    => x = 300

    Thus, total number of pens = 100 + 300 = 400

    Purchasing cost = 8 X 400 = ₹ 3200

    Amount received by selling if Amal makes a net profit of ₹ 300 = 12 X 100 + 11 X 300

                                                                                                                     = ₹ 4500

    Total cost = ₹ 4500 - ₹ 300 = ₹ 4200

    The wages of the employee = 4200 – 3200 = ₹ 1000

    Ans: 1000

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