Question : The price of an article is cut by 31%, to restore its original value, the new price must be increased by:
Option 1: 66%
Option 2: 44.93%
Option 3: 39.76%
Option 4: 82.5%
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Correct Answer: 44.93%
Solution :
Given: The price of an article is cut by 31%.
Let the original price of the article be Rs.100.
Now, The price of an article is cut by 31%.
⇒ The new price of the article $=\frac{100-31}{100}\times 100= 69$
To restore its original value, the new price must be increased by:
⇒ $\frac{100-69}{69}\times 100=\frac{3100}{69}= 44.93\%$
Hence, the correct answer is 44.93%.
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