9. After allowing a discount of 15% on the marked price of an article, a dealer still make a
profit of 19%. By what percent is the marked price above the cost price?
Answers
Step-by-step explanation:
Given :-
After allowing a discount of 15% on the marked price of an article, a dealer still make a profit of 19%.
To find :-
By what percent is the marked price above the cost price?
Solution:-
Let the Marked Price of an article be Rs. X
Given discount = 15% of Marked Price
=> Discount = (15%} of X
=> Discount = (15/100)×X
=> Discount = (3/20)×X
Discount = Rs. 3X/20
Selling Price of the artice
= Marked Price - Discount
= X - (3X/20)
= (20X -3X)/20
= 17X/20
Selling Price of the article = Rs. 17X/20
After allowing discount , The dealer got 19% of profit
We know that
Cost Price = [100×Selling Price ]/(100+Profit)
=> CP = [100×(17X/20)]/(100+19)
=> CP = (1700X/20)/119
=> CP = 85X/119
=> CP = 5X/7
Cost Price of the article = Rs. 5X/7
Now
Difference of Marked Price and Cost Price
=> X-(5X/7)
=(7X-5X)/7
= 2X/7
The Marked Price is Rs. 2X/7 more than the Cost Price
Difference % =( Difference/Cost Price)×100
= Difference Percentage = [(2X/7)/(5X/7)]×100
= (2/5)×100
= 2×20
=40%
Answer:-
The dealer marks the articles 40% above th cost price.
Used formulae:-
- Selling Price= Marked Price - Discount
- Cost Price = [100×Selling Price]/(100+Profit)
Answer:
answer is 40 %
hope it's helpful