A shopkeeper sell an item in ₹ 24 and earned the profit in % equal to its cost price . f ind cost price ( quadratic equation)
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Answer:
cost price is Rs 20
Step-by-step explanation:
SP = Rs 24, CP = x, profit = x%
to find CP
SP = CP + (P% × CP)/100
24 = x + (x * x)/100
24 = [100x + x²]/100
=> 2400 = 100 x + x² [ on cross multiplication ]
=> x² + 100 x - 2400 = 0
=> x² + 120x - 20x - 2400 = 0
=> x(x + 120) - 20(x + 120) = 0
=> (x - 20)(x + 120) = 0
=> x = 20 √ and x = -120 ×
as CP can not be negative, x = 20 => CP = Rs 20
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