Advertisements
Advertisements
Question
Find the single discount which is equivalent to successive discounts of 10%, 8% and 5%.
Advertisements
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%.
RELATED QUESTIONS
After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.
Suppose, marked price of the item = 100 rupees
Therefore, for customer that item costs `square` - `square` = 90 rupees
Hence, when the discount is `square` then the selling price is `square` rupees.
Suppose when the discount is `square` rupees, the selling price is x rupees.
∴ `x/square=square/square`
∴ x = `(squarexxsquare)/square`
∴ x = `square`
∴ the customer will get the item for 153 rupees.
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.
The selling price of 15 articles is equal to the cost price of 12 articles. Find the gain or loss as a percent.
A shopkeeper marks his goods at 30 percent above the cost price and then gives a discount of 10 percent. Find his gain 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.
The cost price of an article is 25% below the marked price. If the article is available at a 15% discount and its cost price is Rs. 2,400; find:
(i) Its marked price
(ii) its selling price
(iii) the profit percent.
Find the amount paid by a customer when he buys a watch priced at Rs. 5400 available at a discount of 12%.
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?
A dealer is selling an article marked Rs.2000 at a discount of 20%. Find the selling price and the cost price of if he makes a profit of 25%.
A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain percent altogether.
