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    In what ratio should sugar costing ₹64 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹70.8 per kg, there is a p
    Question

    In what ratio should sugar costing ₹64 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹70.8 per kg, there is a profit of 20%?

    A.

    37 : 5

    B.

    38 : 3

    C.

    36 : 3

    D.

    35 : 6

    Correct option is A

    Given:

    Cost price of sugar A = ₹64/kg

    Cost price of sugar B = ₹22/kg

    Selling price of mixture = ₹70.80/kg

    Profit on the mixture = 20%

    Formula Used:

    Selling Price (SP) = Cost Price (CP) × (1 + Profit%)

    Solution:

    Cost Price of the mixture

    CPmixture=70.801.20=59.00 per kg\text{CP}_{\text{mixture}} = \frac{70.80}{1.20} = ₹59.00 \text{ per kg}

    Apply alligation rule:

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