Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A person is having goods worth Rs. 800. He sells half of them at a profit of 15%. If he wants to gain 30% profit on the whole, at what gain percent he must sell the remaining goods?

    ক)
    17.5%
    খ)
    25%
    গ)
    45%
    ঘ)
    18%
    ঙ)
    40%

    Explanation

    According to the given information, Cost price of all goods = Rs. 800 ∴ cost price of half the goods = Rs. 400 ∵ Half of the goods are sold at 15% gain, Profit earned = 15% of Rs. 400 = 0.15 × 400 = Rs. 60 ∵ He needs to get 30% profit on the entire lot of goods. ∴ Net Profit Required = 30% of Rs. 800 = 0.3 × 800 = Rs. 240 ⇒ Profit required on remaining half of the goods = 240 – 60 = Rs. 180 Selling Price = Rs. 400 + Rs. 180 = Rs. 580 ∴  %  Profit  =  Selling  Price−Cost  PriceCost  Price×100=  180400×100  =  45\therefore \;\% \;Profit\; = \;\frac{{Selling\;Price - Cost\;Price}}{{Cost\;Price}} \times 100 = \;\frac{{180}}{{400}} \times 100\; = \;45

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