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
Answer (1)
21st Jan, 2024
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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