| A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent? |
A) \[28\frac{4}{7}%\text{ loss}\]
B) \[28\frac{4}{7}%\text{ profit}\]
C) \[28\frac{3}{7}%\text{ loss}\]
D) \[28\frac{3}{7}%\text{ profit}\]
Correct Answer: B
Solution :
| Let the cost price of goods be Rs. 100 per kg. |
| Then, selling price = Rs. 90 |
| Further, let total quantity of goods = 1000 g |
| Then, actual weight = 700 g |
| But cost price of 700 g goods = Rs. 70 |
| Then, profit% \[=\frac{20}{70}\times 100=\frac{2}{7}\times 100\] |
| \[=\frac{200}{7}=28\frac{4}{7}%\] |
| Alternate Method |
| Here, R = 30% and r =10% |
| Required profit % \[=\,\,\frac{R\pm r}{100-R}\times 100\] |
| \[\therefore \] Profit % \[=\frac{30-10}{100-30}\times 100\] [\[-\,\text{ve}\]for loss] |
| \[=\frac{20}{70}\times 100=28\frac{4}{7}%\] |
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