The selling price of an article is 560 at 15%discount find its marked price if the same article is sold at 10 % discount find its new selling price
Answers
Step-by-step explanation:
Given :-
The selling price of an article is 560 at 15% discount.
To find :-
Find its marked price if the same article is sold at 10 % discount find its new selling price?
Solution :-
Let the Marked Price of an article be Rs. X
Discount percentage on it = 15%
=> Discount = 15% of Marked Price
=> Discount = 15% of X
=> Discount = 15% × X
=> Discount = (15/100)×X
=> Discount = 15X/100
=> Discount = Rs. 3X/20
Now,
Selling Price of the article = Rs. 560
We know that
Selling Price = Marked Price - Discount
=> 560 = X-(3X/20)
=> 560 = (20X-3X)/20
=> 560 = 17X/20
=> 17X/20 = 560
=> 17X = 560×20
=> 17X = 11200
=> X = 11200/17
=> X = 658.82
Marked Price of the article = Rs. 658.82
Now ,
Given that
Discount percentage on it = 10%
=> Discount = 10% of MP
=> Discount = 10% of (11200/17)
=>Discount = (10/100)×(11200/17)
=> Discount = 11200/170
=> Discount = 1120/17
=> Discount = 65.88
Discount given on it = Rs. 65.88
Selling Price = Marked Price - Discount
=> SP = 658.82-65.88
=> SP = 592.92
Selling Price = Rs. 592.92
Answer :-
Marked Price of the given article = Rs. 658.82
New Selling Price of the given article =
Rs. 592.92
Used formulae:-
- Selling Price = Marked Price - Discount
- Discount is calculated only on Marked Price
- Discount= MD/100
- M = Marked Price
- D% = Discount Percentage
- D = Discount