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If a number is increased by 10% and then it is decreased by 10% then the value of number will
- a)Remain unchanged
- b)increase by 1%
- c)decrease by 1%
- d)decrease by 0.1%
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If a number is increased by 10% and then it is decreased by 10% then t...
Answer:
To solve this problem, let's assume the number as 'x'.
Step 1: Increase the number by 10%
When we increase a number by 10%, we multiply it by 1.10.
So, after increasing 'x' by 10%, the new value becomes 1.10x.
Step 2: Decrease the number by 10%
When we decrease a number by 10%, we multiply it by 0.90.
So, after decreasing 1.10x by 10%, the new value becomes 0.90 * 1.10x.
Simplification:
Let's simplify the expression 0.90 * 1.10x.
0.90 * 1.10x = 0.99x
Result:
So, after increasing 'x' by 10% and then decreasing it by 10%, the final value becomes 0.99x, which is 99% of the original value 'x'.
Therefore, the value of the number will decrease by 1%. Hence, the correct answer is option 'C' - decrease by 1%.
To solve this problem, let's assume the number as 'x'.
Step 1: Increase the number by 10%
When we increase a number by 10%, we multiply it by 1.10.
So, after increasing 'x' by 10%, the new value becomes 1.10x.
Step 2: Decrease the number by 10%
When we decrease a number by 10%, we multiply it by 0.90.
So, after decreasing 1.10x by 10%, the new value becomes 0.90 * 1.10x.
Simplification:
Let's simplify the expression 0.90 * 1.10x.
0.90 * 1.10x = 0.99x
Result:
So, after increasing 'x' by 10% and then decreasing it by 10%, the final value becomes 0.99x, which is 99% of the original value 'x'.
Therefore, the value of the number will decrease by 1%. Hence, the correct answer is option 'C' - decrease by 1%.
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Community Answer
If a number is increased by 10% and then it is decreased by 10% then t...
Let the number be 100.
100 + 10% of 100 = 100 + 10 = 110
and 110 – 10% of 110 = 100 –
= 110 – 11 = 99
100 + 10% of 100 = 100 + 10 = 110
and 110 – 10% of 110 = 100 –
= 110 – 11 = 99
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If a number is increased by 10% and then it is decreased by 10% then the value of number willa)Remain unchangedb)increase by 1%c)decrease by 1%d)decrease by 0.1%Correct answer is option 'C'. Can you explain this answer?
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