Question : Directions: If in a business, Alok gains 75% more profit than Akash, then by what percentage profit of Akash is less than the profit of Alok?
Option 1: 25%
Option 2: 12.63%
Option 3: 30.8%
Option 4: 42.85%
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Correct Answer: 42.85%
Solution : Given: In a business, Alok gains 75% more profit than Akash.
Let us assume that Akash makes a profit of ₹ 100 The profit of Alok is 75% more than Akash. Hence, profit of Akash = 100 + (75/100 × 100) = 100 + 75 = 175 So, profit earned by Alok over Akash = 175 – 75 = 75 % Profit earned by Alok over Akash = {(more profit earned by Alok) / total profit earned by Alok } × 100 = [(75 ÷ 175) × 100] % = 0.42857 × 100% = 42.85 %
Therefore, Akash earns 42.85% less profit than Alok. Hence, the fourth option is correct.
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Option 3: 121
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