A single discount equivalent to the discount series of 20%, 10% and 5% is_______?
Correct answer: C. 31.6%
- A. 25%
- B. 30%
- C. 31.6%
- D. 33.5%Education
Explanation
Successive discounts multiply the prices that remain: 100% x 80% x 90% x 95% = 68.4% of the list price. Therefore the equivalent single discount is 100% - 68.4% = 31.6%. Students often choose a by adding 20%, 10% and 5%, which ignores that each later discount applies after the previous discount.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Profit and Loss
Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Profit and Loss questions
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is________?
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is________?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?