A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram ?



A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram ?

A. 855 1/2 grams

B. 833 1/3 grams

C. 833 1/2 grams

D. 875 2/7 grams

Answer : B. 833 1/3 grams


Explanation:

    Let the error is x gm. So we have
    ( error / True weight - error ) * 100 = %gain profit
    = ( x / 1000 - x ) * 100 = 20
    x / 1000 - x = 1 / 5
    5x = 1000 - x
    6x = 1000
    x = 1000/6 gm

    Hence the weight = 1000 - (1000 / 6)
    833 1/3



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