Advertisements
Advertisements
Question
Find the single discount which is equivalent to successive discounts of 10%, 8% and 5%.
Solution
Let the marked price be Rs.100
First discount = 10%
`"S.P."_1/"M.P." = 1 - "discount"/(100)`
⇒ `"S.P."_1/(100) = 1 - (10)/(100)`
⇒ `"S.P."_1 = (90)/(100)` x Rs.100
= Rs.90
Second discount = 8%
`"S.P."_2/"S.P"_1 = 1 - "discount"/(100)`
⇒ `"S.P."_2/(90) = 1 - (8)/(100)`
⇒ `"S.P."_2 = (92)/(100)` x Rs.90
= Rs.82.8
Third discount = 5%
`"S.P."_3/"S.P"_2 = 1 - "discount"/(100)`
⇒ `"S.P."_3/(82.8) = 1 - (5)/(100)`
⇒ `"S.P."_3 = (95)/(100)` x Rs.82.8
= Rs.78.66
∴ Net discount
= M.P. - S.P.3
= Rs. (100 - 78.66)
= Rs.21.34
∴ Discount% = 21.34%.
APPEARS IN
RELATED QUESTIONS
What price should Aslam mark on a pair of shoes which costs him Rs 1200 so as to gain 12% after allowing a discount of 16%?
A shopkeeper gives 11% discount on a television set, hence the cost price of it is Rs. 22,250. Then find the marked price of the television set.
A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25%. While selling the item, he offers 20% discount. Find how many more or less percent he gets on the decided price.
Nirmala went to a shop to buy a Titan watch. The cost of the watch was Rs 3,250. The rate of sales tax is 12%. The shopkeeper gave her a discount such that she got the watch for only Rs 3,248. Find the discount given by the shopkeeper.
An article is marked for Rs. 1,300 and is sold for Rs. 1,144; find the discount percent.
The cost price of an article is Rs. 2,400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at a 15% discount.
Find the discount percentage in the following:
M.P. =Rs. 1500, S.P. = Rs. 1320
Find if the following discount series is better for the customer:
25%, 20% and 15%
The list price of a watch is Rs.4000. It is available either at 25% flat discount or at successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer.
The cost of production of a video game is Rs.5200. This is divided between material, labour and overheads in the ratio 5:6:2. If the video game is marked at a price that gives a 30% profit, find the marked price. If the cost of material, labour and overheads increased by 40%, 30% and 10% respectively, calculate the cost of manufacturing the video game now and the marked price so as to get the same percentage as before.
A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs.150?
A mobile phone is marked at Rs.12000. A discount of 20% is given on the marked price. What is the net selling price?
A shopkeeper allows 20% discount on his article. What price must be mark on an article, which costs him Rs.1750, to make a profit 20%?
Find the single discount which is equivalent to successive discount of 20%, 15% and 10%.
A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs.960?
A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs.575?
______ is a reduction on the marked price of the article.
If the discount of Rs y is available on the marked price of Rs x, then the discount percent is `x/y xx 100%`.
A watch worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is offered during the sale?
Store A and Store B both charge Rs 750 for a video game. This week the video game is on sale for Rs 600 at Store B and for 25% off at Store A. At which store is the game less expensive?
