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    Question

    The cost price of orange juice in bottle P is Rs. 68 per liter, and the cost price of orange juice in bottle Q is Rs. 48. When the orange juice in bottles P and Q is mixed, the store owner sells 50 liters of this mixture at the cost price of orange juice in bottle P, making a profit of 12%. If the same mixture is sold at the cost price of orange juice in bottle Q, what is the percentage of loss or profit earned by the store owner?

    A 20% loss Correct Answer Incorrect Answer
    B 25% loss Correct Answer Incorrect Answer
    C 10% loss Correct Answer Incorrect Answer
    D 70% loss Correct Answer Incorrect Answer

    Solution

    ATQ, Quantity of bottle Q = q Quantity of bottle P = 50 - q CP of the mixture = q × 48 + (50 - q) × 68 = 3400 - 20q SP of the mixture = 50 × 68 = 3400 Profit = (3400 - (3400 - 20q))/(3400 - 20q) × 100 = 12 1600q = 38080 - 160q q = 20 CP of the mixture = 3400 - 20 × 20 = 3000 New SP of the mixture = 50 × 48 = 2400 Required loss percentage = (3000 - 2400)/3000 × 100 = 20% loss

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