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If decreasing 70 by X percent yields the same result as increasing 60 by X percent, then X percent of 50 is
  • a)
    3.84
  • b)
    4.82
  • c)
    7.10
  • d)
    The data is insufficient to answer the question
Correct answer is option 'A'. Can you explain this answer?
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If decreasing 70 by X percent yields the same result as increasing 60 ...
Let's solve the problem step by step:

Step 1: Translating the given information into an equation
- Decreasing 70 by X percent yields the same result as increasing 60 by X percent
- Mathematically, we can write this as: 70(1 - X/100) = 60(1 + X/100)

Step 2: Simplifying the equation
- Expanding the brackets, we get: 70 - 0.7X = 60 + 0.6X
- Rearranging the terms, we get: 1.3X = 10
- Solving for X, we get: X = 10/1.3 ≈ 7.69

Step 3: Finding X percent of 50
- X percent of 50 can be written as: X/100 × 50
- Substituting X = 7.69, we get: 7.69/100 × 50 ≈ 3.84

Therefore, the answer is option A (3.84).
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If decreasing 70 by X percent yields the same result as increasing 60 by X percent, then X percent of 50 isa)3.84b)4.82c)7.10d)The data is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
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