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    Question

    Tea worth Rs. 80/kg and Rs. 100/kg are mixed with a third

    variety in the ratio 5:3:2 respectively. If the final mixture is worth Rs. 92/kg, then the price of the third variety of tea is:
    A Rs. 105/kg Correct Answer Incorrect Answer
    B Rs. 110/kg Correct Answer Incorrect Answer
    C Rs. 115/kg Correct Answer Incorrect Answer
    D Rs. 100/kg Correct Answer Incorrect Answer

    Solution

    Let the quantity of three varieties of tea in the new mixture be ‘5x’ kg, ‘3x’ kg, and ‘2x’ kg respectively
    Let the price of the third variety of tea be Rs. ‘y’/kg
    ATQ:
    (80 × 5x) + (100 × 3x) + (y × 2x) = 92 × (5x + 3x + 2x)
    Or, 400x + 300x + 2xy = 92 × 10x
    Or, 700x + 2xy = 920x
    Or, 2xy = 220x
    Or, y = 110
    So, the price of the third variety of tea = Rs. 110/kg

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