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A boy has mistakenly multiplied a number by 45 instead of multiplying it with 25. Due to this, the answer was 200 more than the correct answer. What was the number?
  • a)
    15
  • b)
    10
  • c)
    7
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A boy has mistakenly multiplied a number by 45 instead of multiplying ...
To solve this problem, let's assume the number that the boy mistakenly multiplied by 45 is 'x'.

Let's break down the problem into steps:

Step 1: Calculate the correct answer
If the boy had multiplied the number 'x' by 25, the correct answer would have been 25x.

Step 2: Calculate the answer the boy obtained
The boy multiplied the number 'x' by 45, so the answer he obtained is 45x.

Step 3: Find the difference between the two answers
According to the problem, the answer the boy obtained is 200 more than the correct answer. Mathematically, we can express this as:
45x = 25x + 200

Step 4: Solve the equation
To find the value of 'x', we need to solve the equation we obtained in the previous step. Let's simplify it:
45x - 25x = 200
20x = 200
x = 200/20
x = 10

Therefore, the number that the boy mistakenly multiplied by 45 instead of 25 is 10. Hence, the correct answer is option 'B'.
Free Test
Community Answer
A boy has mistakenly multiplied a number by 45 instead of multiplying ...
The required number = Increase in result/(wrong multiplier - correct multiplier)
= 200/45 - 25
= 10
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