A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 11 1/9%. For weighing a kilogram, he uses a weight of

A dishonest dealer professes to sell his goods at cost price by using a false weight and thus gains 11 ¹/₉%. For weighing a kilogram, he uses a weight of

Let cost of each gram = Rs. 1

Gain% = (SP – CP)/CP × 100

Hence for 1 kg we can write,

100/9 = (1000 – CP)/CP × 100

9000 – 9 CP = CP

CP = 900

∴ False weight = 900 gm.

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