Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    By selling a car for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be

    ক)
    Rs. 2,600
    খ)
    Rs. 2,700
    গ)
    Rs. 2,800
    ঘ)
    Rs. 3,000
    ঙ)
    Rs. 3,200

    Explanation

    Let the cost price of the car be Rs. X Given: Selling price of the car= Rs. 2,850 Gain or profit %=14% Profit% = S.P−C.PC.P×100\frac{{S.P - C.P}}{{C.P}} \times 100 ∴14%=2850−XX×100\therefore 14\% = \frac{{2850 - X}}{X} \times 100 ⇒ 14X = (2850 – X) × 100 ⇒ 14X = 285000 – 100X ⇒ 114X = 285000 ⇒ X = Rs(285000/114) ⇒ X = Rs. 2500 Now, profit is reduced to 8%. ∴ New profit= 8% Let the new selling price be Rs. Y 8%=Y−25002500×1008\% = \frac{{Y - 2500}}{{2500}} \times 100 ⇒ 20000 = 100Y - 250000 ⇒ 100Y = 270000 ⇒ Y = Rs. 2,700 Thus, the selling price of the car will be Rs. 2,700

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