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Question : The price of an article is cut by 36%. To restore it to its original value, the new price must be increased by _____.

Option 1: 56.25%

Option 2: 36%

Option 3: 26.47%

Option 4: 45%


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 56.25%


Solution : Let the original value be 100 units.
Value reduced = 36 units
So, reduced value = 100 – 36 = 64 units
Percentage increase needed to restore the original value = $\frac{\text{Increase in price} × 100}{\text{Reduced value}}$%
= $\frac{36×100}{64}$
= 56.25%
Hence, the correct answer is 56.25%.

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