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If a quantity is increased by 30% and then decreased by 50%, by how much percentage does it have to be increased to bring it back to the original quantity?
  • a)
    30.25%
  • b)
    53.85%
  • c)
    31.33%
  • d)
    90.50%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If a quantity is increased by 30% and then decreased by 50%, by how mu...
Assume the quantity as 100.
If it is increased by 30%, it will become 130 and if it is decreased by 50%, it will become 65.
So, it has to be increased by 35 to bring it to 100 again.
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Most Upvoted Answer
If a quantity is increased by 30% and then decreased by 50%, by how mu...
Problem Analysis:
Let's assume the original quantity is 100.
Step 1: Increase the quantity by 30%
After the first step, the quantity becomes 100 + (30% of 100) = 100 + 30 = 130.
Step 2: Decrease the quantity by 50%
After the second step, the quantity becomes 130 - (50% of 130) = 130 - 65 = 65.

Solution:
To bring the quantity back to the original value of 100, we need to increase it by a certain percentage.

Let's assume the required percentage increase is x%.

To bring back the quantity to 100, we can write the equation as:
65 + (x% of 65) = 100

Simplifying the equation, we have:
65 + (x/100) * 65 = 100
65 + 0.65x = 100
0.65x = 100 - 65
0.65x = 35

Dividing both sides of the equation by 0.65, we get:
x = 35 / 0.65 = 53.85

Therefore, the quantity needs to be increased by approximately 53.85% to bring it back to the original quantity.

Hence, the correct answer is option 'B' - 53.85%.
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If a quantity is increased by 30% and then decreased by 50%, by how much percentage does it have to be increased to bring it back to the original quantity?a)30.25%b)53.85%c)31.33%d)90.50%Correct answer is option 'B'. Can you explain this answer?
Question Description
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