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The price of an article is cut by 33%, to restore to its original value, the new price must be increased by (SSC CHSL 2017)
- a)33 percent
- b)49.25 percent
- c)24.81 percent
- d)41.25 percent
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The price of an article is cut by 33%, to restore to its original valu...
Let the price of the article = ₹ 100
New Price = 100 – 33 = 67
Therefore the new price must be increased by
New Price = 100 – 33 = 67
Therefore the new price must be increased by
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The price of an article is cut by 33%, to restore to its original valu...
Understanding the Price Reduction
When the price of an article is reduced by 33%, it means that the new price is 67% of the original price.
Calculating the New Price
- Let the original price be 100 units.
- After a 33% reduction, the new price becomes:
- New Price = Original Price - (33% of Original Price)
- New Price = 100 - (0.33 * 100) = 67 units.
Determining the Increase Needed
To find out how much to increase the new price (67 units) to restore it to the original price (100 units):
- Increase Needed = Original Price - New Price
- Increase Needed = 100 - 67 = 33 units.
Calculating the Percentage Increase
Now, to find the percentage increase from the new price to the original price:
- Percentage Increase = (Increase Needed / New Price) * 100
- Percentage Increase = (33 / 67) * 100 ≈ 49.25%.
Conclusion
Therefore, to restore the price to its original value after a 33% reduction, the new price must be increased by approximately 49.25%. Thus, the correct answer is option 'B'.
When the price of an article is reduced by 33%, it means that the new price is 67% of the original price.
Calculating the New Price
- Let the original price be 100 units.
- After a 33% reduction, the new price becomes:
- New Price = Original Price - (33% of Original Price)
- New Price = 100 - (0.33 * 100) = 67 units.
Determining the Increase Needed
To find out how much to increase the new price (67 units) to restore it to the original price (100 units):
- Increase Needed = Original Price - New Price
- Increase Needed = 100 - 67 = 33 units.
Calculating the Percentage Increase
Now, to find the percentage increase from the new price to the original price:
- Percentage Increase = (Increase Needed / New Price) * 100
- Percentage Increase = (33 / 67) * 100 ≈ 49.25%.
Conclusion
Therefore, to restore the price to its original value after a 33% reduction, the new price must be increased by approximately 49.25%. Thus, the correct answer is option 'B'.
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The price of an article is cut by 33%, to restore to its original value, the new price must be increased by (SSC CHSL 2017)a)33 percentb)49.25 percentc)24.81 percentd)41.25 percentCorrect answer is option 'B'. Can you explain this answer?
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