Question : When a discount of 25% is given on a cruise trip, the profit is 41%. If the discount is 26%, then the profit is:
Option 1: 39.12%
Option 2: 67%
Option 3: 94.88%
Option 4: 11.24%
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Correct Answer: 39.12%
Solution :
Let the cost price be Rs. 100.
When profit % = 41, selling price = 100 + 41 = Rs. 141
When discount = 25%, selling price = 75% of Marked price
Marked price = $\frac{141}{\frac{75}{100}}$ = $\frac{141}{\frac{3}{4}}$ = $\frac{141 × 4}{3}$ = Rs. 188
When discount = 26%, Selling price = 74% of marked price
Selling price = 74% of Rs. 188 = $\frac{188 × 74}{100}$ = Rs. 139.12
Profit = Rs. 139.12 – Rs. 100 = Rs. 39.12
Profit percentage = $\frac{39.12 × 100}{100}$ = 39.12 %
Hence, the correct answer is 39.12%.
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