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%
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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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