Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    If one fourth of the goods be sold at a loss of 15%. at what profit percent should the remaining goods be sold so as to gain 30% on the whole deed if the total goods are purchased of Rs. 600?

    ক)
    35%
    খ)
    25%
    গ)
    30%
    ঘ)
    27.5%
    ঙ)
    45%

    Explanation

    According to the given information, Cost Price of all goods = Rs. 600 ⇒ Cost Price of 1/4th of goods = Rs. 150 ∵ % loss on 1/4th of goods = 15% ⇒ Cost  Price−Selling  PriceCost  Price×100=15\frac{{Cost\;Price - Selling\;Price}}{{Cost\;Price}} \times 100 = 15 ⇒ 150 – Selling Price = 22.5 ⇒ Selling Price of 1/4th of goods = 150 – 22.5 = Rs. 127.5 ∵ Cost Price of total goods = Rs. 600 Total % gain required = 30% ⇒Selling  Price−Cost  PriceCost  Price×100=30\Rightarrow \frac{{Selling\;Price - Cost\;Price}}{{Cost\;Price}} \times 100 = 30 ⇒ Selling Price of all goods – 600 = 180 ⇒ Selling Price of all goods = Rs. 780 Required selling price for 3/4th of goods = 780 – 127.5 = Rs. 652.5 ∵ Cost Price of 3/4th of goods = Rs. 450 ∴ % Profit = Selling  Price−Cost  PriceCost  Price×100  =652.5−450450  ×  100  =  45\frac{{Selling\;Price - Cost\;Price}}{{Cost\;Price}} \times 100\; = \frac{{652.5 - 450}}{{450}}\; \times \;100\; = \;45

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