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    Suman buys 40 kg of wheat at Rs.12.50/kg and 30 kg of wheat at Rs.14/kg. At what rate per kg should he sell the mixture to gain 5% on the whole?
    Question

    Suman buys 40 kg of wheat at Rs.12.50/kg and 30 kg of wheat at Rs.14/kg. At what rate per kg should he sell the mixture to gain 5% on the whole?

    A.

    Rs.14.80

    B.

    Rs.13.80

    C.

    Rs.12.80

    D.

    Rs.11.80

    Correct option is B

    Given:
    Wheat type 1 = 40 kg at Rs. 12.50 per kg
    Wheat type 2 = 30 kg at Rs. 14 per kg
    Gain = 5%
    Formula Used:
    Cost Price (CP) of mixture = Total cost ÷ Total quantity
    Selling Price (SP) = CP × (1 + Gain%)
    Solution:
    Total cost of 40 kg wheat = 40 × 12.50 = Rs. 500
    Total cost of 30 kg wheat = 30 × 14 = Rs. 420
    Total cost = 500 + 420 = Rs. 920
    Total quantity = 40 + 30 = 70 kg
    Cost Price of mixture per kg =92070\frac {920}{70}​ = Rs. 13.14 (approx.)
    Selling Price per kg = 13.14 × (1 + 5100\frac{5}{100}​)
    = 13.14 × 1.05 = Rs. 13.80 (approx.)

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