An item was bought at INR X and sodl at INR Y, thereby earning a profit of 20%. Had the value of X been 15% less and the value of Y been INR 76 less, a profit of 30% would have been earned. What was the value of 'X'

  • INR 640/-
  • INR 400/-
  • INR 600/-
  • INR 800/-
  • INR 840/-
  • Explanation:

    C.P. =X, Profit = 20%, S.P =Y

    120/100X=Y or Y=6/5X            .....(i)

    New, C.P. = 85/100X = 17/20X

    Profit = 30%

    S.P. =Y-76

    130/100×17/20X = Y-76

    or Y=221/200X+76                   .....(ii)

    Compare the value of Y from both the equations (i) and (ii),

    221/200X+76 = 6/5X

    76=6/5X-221/200X

    76=240X-221X/200

    76×200/19=X

    X=INR 800/-

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An item was bought at INR X and sodl at INR Y, thereby earning a profit of 20%. Had the value of X b
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