Question

A dishonest shopkeeper professes to sell his goods at cost price but uses a false weight of 920 grams for a 1 kg weight. What is his overall profit percentage?

• A. 8%
• B. 8.69%
• C. 7.41%
• D. 9.2%

Hint:

For dishonest dealing with false weights, remember the trick:
Profit % = $\frac{\text{Error}}{\text{Weight Used} - \text{Error}} \times 100$.
Error = $1000 - 920 = 80$ grams.
Weight Used = 920 grams.
Profit % = $\frac{80}{920} \times 100 = 8.69\%$.

Answer 1

The Correct Option is B

Step 1: Error in weight = True weight - False weight = \( 1000 - 920 = 80 \) grams.

Step 2: Profit percentage using the false weight formula is \( \text{Profit \%} = \frac{\text{Error}}{\text{True weight}-\text{Error}}\times 100 = \frac{80}{1000-80}\times 100 = \frac{80}{920}\times 100 \).

Step 3: \( \frac{80}{920}\times 100 \approx 8.6956\% \), which rounds to 8.69%.
\[ \boxed{8.69\%} \]