A dishonest dealer professes to sell his goods at the cost price but uses a weight of 900 gm for one kg weight. Find his gain percent.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(11 \frac{1}{9}\)%
The dealer charges for 1000 g but hands over only 900 g, so the 100 g he keeps back is his gain on goods costing him 900 g. Gain per cent is always worked out on the cost price.
Cost price: the price of 900 g; selling price: the price of 1000 g
Gain = the price of 100 g
Gain per cent \(\displaystyle =\frac{100}{900}\times100=\frac{100}{9}=11\frac{1}{9}\%\)