Question : A dealer sells his goods at a profit of 20% but uses a weight of 800 g in place of a kg weight. Find his real gain percentage.
Option 1: 40%
Option 2: 44%
Option 3: 50%
Option 4: 42%
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Correct Answer: 50%
Solution : Let the cost price of 1000 g goods ($CP_1$) be $x$. Actual cost price of 800 g goods, $CP_2$ = $0.8x$ Profit% on 800 g goods = 20% of the cost price of 1000 g Selling Price of 800 g goods, $SP = CP_1(1+\frac{Profit\%}{100})$ = $x(1+\frac{20}{100})$ = $1.2x$ Actual profit% = $\frac{\text{Effective profit}}{\text{Effective cost price}}\times 100\%$ = $\frac{(1.2x-0.8x)}{0.8x}\times 100$% = 50% Hence, the correct answer is 50%.
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