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A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.
- a)96%
- b)95%
- c)2400%
- d)200%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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A number is mistakenly divided by 5 instead of being multiplied by 5. ...
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A number is mistakenly divided by 5 instead of being multiplied by 5. ...
To find the percentage change in the result due to the mistake of dividing a number by 5 instead of multiplying by 5, we need to compare the correct result (when the number is multiplied by 5) with the incorrect result (when the number is divided by 5).
Let's assume the original number is x.
When the number is multiplied by 5, the result is 5x.
When the number is divided by 5 (mistakenly), the result is x/5.
The percentage change can be calculated using the formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
In this case, the new value is the incorrect result (x/5) and the old value is the correct result (5x).
Percentage Change = ((x/5 - 5x) / 5x) * 100
Simplifying the expression inside the brackets:
Percentage Change = ((1/5 - 5) / 5) * 100
= (-24/5) * 100
= -480%
The negative sign indicates a decrease in the result due to the mistake. However, we need to find the absolute value of the percentage change, so the answer is 480%.
But in the given options, none of them match with 480%. Therefore, none of the options provided in the question is correct.
The correct answer is "None of these".
Let's assume the original number is x.
When the number is multiplied by 5, the result is 5x.
When the number is divided by 5 (mistakenly), the result is x/5.
The percentage change can be calculated using the formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
In this case, the new value is the incorrect result (x/5) and the old value is the correct result (5x).
Percentage Change = ((x/5 - 5x) / 5x) * 100
Simplifying the expression inside the brackets:
Percentage Change = ((1/5 - 5) / 5) * 100
= (-24/5) * 100
= -480%
The negative sign indicates a decrease in the result due to the mistake. However, we need to find the absolute value of the percentage change, so the answer is 480%.
But in the given options, none of them match with 480%. Therefore, none of the options provided in the question is correct.
The correct answer is "None of these".
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Community Answer
A number is mistakenly divided by 5 instead of being multiplied by 5. ...
Let us take totall as 100
by mistakely they divided it with 5
instead of multiplying it with 5
100/5=20
100*5=500
500*10/100=5
20/5=4
4-100=96%
by mistakely they divided it with 5
instead of multiplying it with 5
100/5=20
100*5=500
500*10/100=5
20/5=4
4-100=96%
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A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.a)96%b)95%c)2400%d)200%e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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