Question : If a number is increased by 84, it becomes 107% of itself. What is the number?
Option 1: 600
Option 2: 900
Option 3: 1500
Option 4: 1200
Correct Answer: 1200
Solution :
Given: If a number is increased by 84, it becomes 107% of itself.
Let the number be y.
According to the question,
y + 84 = 107% of y
⇒ y + 84 = 1.07y
⇒ 84 = 1.07y – y
⇒ 84 = 0.07y
⇒ y = 1200
Hence, the correct answer is 1200.
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