SSC Exam > SSC Questions > What is the net discount for successive disco...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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'.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup