# 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