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If a chair is sold at a discount of 20%, then there is a profit of 20%. If the chair is sold at a discount of 30%, then what will be the
profit?
5%
10%
7.5%
12.5%
- When a 20% discount still results in a 20% profit, the Selling Price is 120% of the Cost Price (CP) after being reduced by the discount.
- Let CP be 100. With a discount of 20%, the Selling Price (SP) becomes 80% of the Marked Price (MP), which is 120 (as it includes 20% profit).
- The Marked Price is thus 150 (since 120/80% = 150).
- A 30% discount makes SP 70% of MP (70% of 150).
- The SP becomes 105 (70% of 150).
- Profit = SP - CP = 105 - 100 = 5.
- Thus, the profit at a 30% discount is 5%.
Option 1: 5%
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