Question : The price of an article is cut by 42%. To restore to its original value, the new price must be increased by:
Option 1: 42%
Option 2: 72.41%
Option 3: 29.58%
Option 4: 52.5%
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Correct Answer: 72.41%
Solution : Let the original value be 100 units. Value reduced = 42 units So, reduced value = 100 – 42 = 58 units Percentage increase needed to restore the original value = $\frac{\text{Increase in price} × 100}{\text{Reduced value}}$% = $\frac{42×100}{58}$ = 72.41% Hence, the correct answer is 72.41%.
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