Advertisements
Advertisements
Question
Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence find the selling price of an article marked at Rs.2500.
Advertisements
Solution
Let the marked price be Rs.100
First discount = 20%
`"S.P."_1/"M.P." = 1 - "discount"/(100)`
⇒ `"S.P."_1/(100) = 1 - (20)/(100)`
⇒ `"S.P."_1 = (80)/(100)` x Rs.100
= Rs.80
Second discount = 10%
`"S.P."_2/"S.P"_1 = 1 - "discount"/(100)`
⇒ `"S.P."_2/(80) = 1 - (10)/(100)`
⇒ `"S.P."_2 = (90)/(100)` x Rs.80
= Rs.72
Third discount = 5%
`"S.P."_3/"S.P"_2 = 1 - "discount"/(100)`
⇒ `"S.P."_3/(72) = 1 - (5)/(100)`
⇒ `"S.P."_3 = (95)/(100)` x Rs.72
= Rs.68.4
∴ Net discount
= M.P. - S.P.3
= Rs. (100 - 68.4)
= Rs.31.6
∴ Discount% = 31.6%
`"S.P."/"M.P." = 1 - "discount"/(100)`
⇒ `"S.P."/(2500) = 1 - (31.6)/(100)`
⇒ S.P. = `(68.4)/(100)` x Rs.2500
= Rs.1710.
RELATED QUESTIONS
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.
A computer was available for Rs 27,216, which included two successive discounts of 20% and 10% on the basic price and a sales tax of 8% on the remaining price. Find the basic price of the computer.
By selling 8 pens, Shyam loses equal to the cost price of 2 pens. Find his loss percent.
A shopkeeper buys an article whose list price is ₹ 800 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges sales tax at the prescribed rate of 7.5%. If the shopkeeper has to pay a VAT of ₹ 6, find the rate of discount at which he bought the article from the wholesaler.
The selling price of a computer was fixed at Rs.32200 so as to give a profit of 15%. During a sale the price of the same computer was reduced to Rs.29960. Calculate the actual profit or loss during the scale.
A shopkeeper marks the price of an article at Rs. 1200. Find the selling price, if he allows:
two successive discounts of 15% and 10%.
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.
The catalogue price of an article is Rs.3600 and a manufacturer sells it to the distributor at 20% off the catalogue price. The distributor sells it to the retailer at 10% off the catalogue price. What profit percent is made by the retailer, if he sells the article to a customer at catalogue price? What profit percent is made by the manufacturer, if the catalogue price is 44% above its costs?
Discount = Discount % of ______.
Find discount in per cent when M.P. = Rs 625 and S.P. = Rs 562.50
