The marked prices of two articles are equal. One of them was sold at 10% discount and the other at 12% discount. If the difference between the selling prices was 34rs , then what was the marked price of each article ?
Answers
Step-by-step explanation:
Given :-
The marked prices of two articles are equal. One of them was sold at 10% discount and the other at 12% discount. If the difference between the selling prices was 34rs .
To find :-
What was the marked price of each article ?
Solution :-
Let the marked price of the one article be Rs. X
Then
The marked price of the other article = Rs. X
Since they are equal (Given)
Discount % on first article = 10%
Discount on the first article
=> 10% of MP
=> 10% of X
=> (10/100)× X
=> (1/10)× X
=> X/10
Selling Price = Marked Price- Discount
=> SP = X-(X/10)
=> SP = (10X-X)/10
=> SP = 9X/10
Selling Price = Rs. 9X/10
Discount % on the second article.= 12%
=> Discount on the second article
=> 12% of MP
=> 12% of X
=> (12/100)×X
=> (3/25)×X
=> 3X/25
Discount= Rs. 3X/25
Selling Price = MP- Discount
=> SP = X-(3X/25)
=> SP = (25X-3X)/25
=> SP = 22X/25
Selling Price = Rs. 22X/25
Now The difference between the selling Prices of the articles
= (9X/10)-(22X/25)
=> (45X-44X)/50
=> X/50
The difference = Rs. X/50
According to the given problem
The difference between the selling prices = Rs. 34
=> X/50 = 34
=> X = 34×50
=> X = Rs. 1700
Marked price = Rs. 1700
Answer:-
The Marked Price of the each article is Rs.1700
Used formulae :-
- If the marked price M and Discount% d% then Discount = Md/100
- Selling Price = Marked Price -Discount