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The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:
- a)Decreasing the price by 50.4%
- b)Decreasing the price by 60%.
- c)Decreasing the price by 40.5%
- d)Decreasing the price by 49.6%
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The price of an item is decreased by 10%, then by 20%, and finally by ...
Calculation:
- Let the original price of the item be $100.
- After the first decrease of 10%, the price becomes $90.
- After the second decrease of 20%, the price becomes $72.
- After the third decrease of 30%, the price becomes $50.4.
Equivalent Percentage:
- The final price of $50.4 is 49.6% of the original price of $100.
- Therefore, decreasing the price by 10%, then by 20%, and finally by 30% is equivalent to decreasing the price by 49.6%.
Therefore, the correct answer is option 'D', which states that decreasing the price by 10%, then by 20%, and finally by 30% is equivalent to decreasing the price by 49.6%.
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Community Answer
The price of an item is decreased by 10%, then by 20%, and finally by ...
Decreasing a price by 10%, then by 20%, and then by 30% is equivalent to taking 90% of a price, then taking 80% of the remaining price, and then taking 70% of that. That, in turn, is equivalent to multiplying the price by 0.90, then by 0.80, and then by 0.70.
For simplicity's sake, assume the initial price was Rs. 100. Then we can calculate the final price as follows:
Final price = 100 × 0.9 × 0.8 × 0.7
= Rs. 50.40
So, we essentially discounted the original price by Rs.49.60, which is 49.6%.
For simplicity's sake, assume the initial price was Rs. 100. Then we can calculate the final price as follows:
Final price = 100 × 0.9 × 0.8 × 0.7
= Rs. 50.40
So, we essentially discounted the original price by Rs.49.60, which is 49.6%.
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The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:a)Decreasing the price by 50.4%b)Decreasing the price by 60%.c)Decreasing the price by 40.5%d)Decreasing the price by 49.6%Correct answer is option 'D'. Can you explain this answer?
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The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:a)Decreasing the price by 50.4%b)Decreasing the price by 60%.c)Decreasing the price by 40.5%d)Decreasing the price by 49.6%Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:a)Decreasing the price by 50.4%b)Decreasing the price by 60%.c)Decreasing the price by 40.5%d)Decreasing the price by 49.6%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:a)Decreasing the price by 50.4%b)Decreasing the price by 60%.c)Decreasing the price by 40.5%d)Decreasing the price by 49.6%Correct answer is option 'D'. Can you explain this answer?.
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