Question : 30% of the marked price is equal to 50% of the cost price. If no discount is given, then what will be the profit percentage?
Option 1: 66.67%
Option 2: 33.33%
Option 3: 52.5%
Option 4: 50%
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Correct Answer: 66.67%
Solution : Given: 30% of the marked price is equal to 50% of the cost price (CP). Since no discount is given, the marked price (MP) is the selling price (SP). So, 30% of SP = 50% of CP ⇒ CP : SP = 30 : 50 = 3 : 5 Therefore, the profit percentage = $\frac{SP-CP}{CP}×100$ = $\frac{5-3}{3}×100$ = 66.67% Hence, the correct answer is 66.67%.
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