Question

A dishonest shopkeeper declares that he sells his items at cost price, but actually, he uses a false weight of 850 gm for 1 kg. His gain percent is,

• A. 17 $\frac{11}{17}$%.
• B. 17 $\frac{1}{17}$%.
• C. 17 $\frac{14}{17}$%.
• D. 17 $\frac{3}{17}$%.

Answer 1

The correct option is A

17 $\frac{11}{17}$%.

The trader declares that he sells 1 kg of goods at the cost price of 1 kg, say C.P. But the 1 kg he sells actually weighs 850 gm for which he paid, 0.85 C.P only. This is his actual cost price.

So by definition, his profit is,

C.P−0.85C.P = 0.15 C.P.

Don't confuse the cost price to be C.P, in this case, for-profit calculation. He actually makes this profit at a cost price of 0.85CP. So the profit is,

$\frac{0.15C.P}{0.85C.P}$ x 100 = $\frac{300}{17}$ = 17 $\frac{11}{17}$%.