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A discount series of 15%, 20% and 30% is equal to a single discount of:
- a)50%
- b)47.6%
- c)52.8%
- d)52.4%
Correct answer is option 'D'. Can you explain this answer?
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A discount series of 15%, 20% and 30% is equal to a single discount of...
**Solution:**
Let's assume the original price of an item is $100.
**First discount of 15%:**
The price after the first discount of 15% would be: $100 - (15/100) * $100 = $100 - $15 = $85.
**Second discount of 20%:**
The price after the second discount of 20% would be: $85 - (20/100) * $85 = $85 - $17 = $68.
**Third discount of 30%:**
The price after the third discount of 30% would be: $68 - (30/100) * $68 = $68 - $20.4 = $47.6.
So, the final price after all three discounts is $47.6.
Now, let's calculate the single discount that would give the same final price.
Let's assume this single discount is x%.
The price after a single discount of x% would be: $100 - (x/100) * $100.
We need to find the value of x that makes the final price $47.6.
$100 - (x/100) * $100 = $47.6
Divide both sides of the equation by $100:
1 - x/100 = 0.476
Subtract 1 from both sides:
-x/100 = -0.524
Multiply both sides by 100:
-x = -52.4
Divide both sides by -1:
x = 52.4
Therefore, a single discount of 52.4% is equivalent to the series of discounts of 15%, 20%, and 30%.
Hence, the correct option is D) 52.4%.
Let's assume the original price of an item is $100.
**First discount of 15%:**
The price after the first discount of 15% would be: $100 - (15/100) * $100 = $100 - $15 = $85.
**Second discount of 20%:**
The price after the second discount of 20% would be: $85 - (20/100) * $85 = $85 - $17 = $68.
**Third discount of 30%:**
The price after the third discount of 30% would be: $68 - (30/100) * $68 = $68 - $20.4 = $47.6.
So, the final price after all three discounts is $47.6.
Now, let's calculate the single discount that would give the same final price.
Let's assume this single discount is x%.
The price after a single discount of x% would be: $100 - (x/100) * $100.
We need to find the value of x that makes the final price $47.6.
$100 - (x/100) * $100 = $47.6
Divide both sides of the equation by $100:
1 - x/100 = 0.476
Subtract 1 from both sides:
-x/100 = -0.524
Multiply both sides by 100:
-x = -52.4
Divide both sides by -1:
x = 52.4
Therefore, a single discount of 52.4% is equivalent to the series of discounts of 15%, 20%, and 30%.
Hence, the correct option is D) 52.4%.
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A discount series of 15%, 20% and 30% is equal to a single discount of:a)50%b)47.6%c)52.8%d)52.4%Correct answer is option 'D'. Can you explain this answer?
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A discount series of 15%, 20% and 30% is equal to a single discount of:a)50%b)47.6%c)52.8%d)52.4%Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A discount series of 15%, 20% and 30% is equal to a single discount of:a)50%b)47.6%c)52.8%d)52.4%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A discount series of 15%, 20% and 30% is equal to a single discount of:a)50%b)47.6%c)52.8%d)52.4%Correct answer is option 'D'. Can you explain this answer?.
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