Profit Percentage
Problem
A shopkeeper sells an item at 20% profit. If he had bought it at 10% less and sold it for ₹40 less, he would have gained 25%. Find the cost price.
Solution
Let CP = ₹100
- SP at 20% profit = ₹120
- New CP (10% less) = ₹90
- New SP = ₹120 - ₹40 = ₹80
- Profit = (80-90)/90 × 100 = -11.11% (loss)
Using formula: CP = (Difference in SP × 100) / (Difference in profit %)
CP = (40 × 100) / (25 - 20) = ₹800