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    A trader buys 500 kg cotton for ₹8,000. If 10% of this cotton is spoiled due to rain, At what rate (Rs. /kg) should he sell the rest to earn a 20% pro
    Question

    A trader buys 500 kg cotton for ₹8,000. If 10% of this cotton is spoiled due to rain, At what rate (Rs. /kg) should he sell the rest to earn a 20% profit?

    A.

    211321 \frac13​​

    B.

    221322 \frac13

    C.

    251325 \frac 13

    D.

    231323 \frac13

    Correct option is A

    Given:
    Cost price of 500 kg cotton= Rs8,000
    Cotton spoiled due to rain =10%
    Formula Used:
    Profit Percentage=ProfitCost Price×100\text{Profit Percentage} = \frac{\text{Profit}}{\text{Cost Price}} \times 100​​
    Solution:
    Cotton left = 500 - 10%of 500 = 450kgs
    To get an overall profit of 20%, cotton to be sold at
    8000+20%of 8000= Rs. 9600
    Rate of left cotton = 9600450=643=Rs 21 13\frac{9600}{450} = \frac{64}{3} = \text{Rs } 21 \, \frac{1}{3}​​

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