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What is the net discount for successive discounts of 30% and 40%?
- a)58
- b)42
- c)48
- d)40
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the net discount for successive discounts of 30% and 40%?a)58b...
Short trick:
Net successive discount = 30% + 40% - [(30 × 40)/100] = 58%
Net successive discount = 30% + 40% - [(30 × 40)/100] = 58%
Detailed solution:
Let the market price be Rs.100.
Net successive discounts = (30/100) × 100 = 30
New market price = 100 - 30 = Rs.70
Price after 40% discount = (40/100) × 70 = 28
Net price after two discounts = 70 - 28 = Rs.42
∴ required discount = 100 - 42 = 58%
Let the market price be Rs.100.
Net successive discounts = (30/100) × 100 = 30
New market price = 100 - 30 = Rs.70
Price after 40% discount = (40/100) × 70 = 28
Net price after two discounts = 70 - 28 = Rs.42
∴ required discount = 100 - 42 = 58%
Most Upvoted Answer
What is the net discount for successive discounts of 30% and 40%?a)58b...
Understanding Successive Discounts
When calculating the net discount for successive discounts, we use the formula:
Net Discount = 1 - (1 - d1)(1 - d2)
where d1 and d2 are the discounts expressed as decimals.
Step-by-Step Calculation
1. Convert Percentages to Decimals
- First discount (30%) = 0.30
- Second discount (40%) = 0.40
2. Apply the Formula
- Substitute the values into the formula:
Net Discount = 1 - (1 - 0.30)(1 - 0.40)
3. Calculate Each Part
- (1 - 0.30) = 0.70
- (1 - 0.40) = 0.60
4. Multiply the Results
- 0.70 * 0.60 = 0.42
5. Final Calculation
- Net Discount = 1 - 0.42 = 0.58
Convert Back to Percentage
- To express the net discount as a percentage, multiply by 100:
- 0.58 * 100 = 58%
Conclusion
Thus, the net discount for successive discounts of 30% and 40% is 58%. The correct answer is option 'A'.
When calculating the net discount for successive discounts, we use the formula:
Net Discount = 1 - (1 - d1)(1 - d2)
where d1 and d2 are the discounts expressed as decimals.
Step-by-Step Calculation
1. Convert Percentages to Decimals
- First discount (30%) = 0.30
- Second discount (40%) = 0.40
2. Apply the Formula
- Substitute the values into the formula:
Net Discount = 1 - (1 - 0.30)(1 - 0.40)
3. Calculate Each Part
- (1 - 0.30) = 0.70
- (1 - 0.40) = 0.60
4. Multiply the Results
- 0.70 * 0.60 = 0.42
5. Final Calculation
- Net Discount = 1 - 0.42 = 0.58
Convert Back to Percentage
- To express the net discount as a percentage, multiply by 100:
- 0.58 * 100 = 58%
Conclusion
Thus, the net discount for successive discounts of 30% and 40% is 58%. The correct answer is option 'A'.
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What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. Can you explain this answer?
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What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. 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 What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. Can you explain this answer?.
What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. 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 What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the net discount for successive discounts of 30% and 40%?a)58b)42c)48d)40Correct answer is option 'A'. Can you explain this answer?.
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