A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 6 18/ 47 % . For a kg, he uses a weight of?

953 gms
940 gms
960 gms
947 gms

Correct Answer: 940 gms

Explanation:

Let the error be W gms.
Then, [W/ (1000 - W)] x 100 = 300 / 47
⇒ W / (1000 - W) = 3 / 47
47 x W = 3000 - 3 x W
⇒ W = 60
So, he uses a weight = (1000 - 60)gm = 940 gms for 1 kg.

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