Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Isaac uses three different weights, one each of 1 kg, 2 kg and 5 kg. However, the 2 kg weight that he has is actually equivalent to 1.75 kg. Isaac sells the items at no profit no loss. A customer came to buy 3 kg sugar. The cost price of sugar is Rs. 70 per kg. To measure 3 kg sugar, Isaac placed sugar and 2 kg weight on one side, and 5 kg weight on other side of the balance. How much gain or loss will Isaac make in this transaction?

    ক)
    7.69% loss
    খ)
    7.69% profit
    গ)
    15.38% loss
    ঘ)
    15.38% profit
    ঙ)
    No profit no loss

    Explanation

    The cost price of sugar is Rs. 70 per kg. Isaac sells the items at no profit no loss. ∴ Selling price will also be Rs. 70 per kg. To measure 3 kg sugar, Isaac placed sugar and 2 kg weight on one side, and 5 kg weight on other side of the balance. Since, the 2 kg weight that he has is actually equivalent to 1.75 kg, to make the balance equal he needs to put 3.25 kg of sugar, as 5 – 1.75 = 3.25. ∴ Instead of giving 3 kg sugar, he gave 3.25 kg of sugar and took money for 3 kg only. Cost price = Amount of sugar given × Cost price of 1 kg sugar = 3.25 × 70 = 227.5 Selling price = Amount of sugar for which money is taken × Cost price of 1 kg sugar = 3 × 70 = 210 We know, Loss Percentage =  (Cost  price−Selling  price)Cost  Price×  100= \;\frac{{\left( {Cost\;price - Selling\;price} \right)}}{{Cost\;Price}} \times \;100 Loss Percentage =  (227.5−210)227.5  ×  100=7.69= \;\frac{{\left( {227.5 - 210} \right)}}{{227.5}}\; \times \;100 = 7.69 ∴ Isaac made a 7.69% loss.

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