Question : The difference between 73% of a number and 45% of the same number is 112. Find the number.
Option 1: 450
Option 2: 400
Option 3: 500
Option 4: 550
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Correct Answer: 400
Solution : Given, The difference between 73% of a number and 45% of the same number = 112 Let the number be $x$. According to the question, $\frac{73}{100}x−\frac{45}{100}x=112$ ⇒ $\frac{28}{100}x=112$ ⇒ $x=\frac{100×112}{28}$ ⇒ $x=400$ Hence, the correct answer is 400.
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