By selling an article for * 900; a man gains 20%. Find his cost price and the gain.
Answers
Answer:
article cost=₹720
profit=180
Step-by-step explanation:
profit=profit percentage/100×Selling price
therefore, 20/100×900=₹180
Real price of article will be =Selling price -Profit ₹
900-180=₹720
Hope you Understood the explaination.
Step-by-step explanation:
Given :-
Selling Price = Rs. 900
Gain % = 20%
To find :-
Find the Cost Price and gain ?
Solution :-
Method-1:-
The Selling Price of an article = Rs. 900
Gain Percentage = 20%
Let the Cost Price of an article be Rs. X
Gain % = 20% of the CP
=> 20% of X
=> 20% × X
=> (20/100)×X
=> (1/5)×X
=> X/5
Gain = Rs. X/5
Selling Price = Cost Price+Gain
=> Selling Price = X+(X/5)
=> SP = (5X+X)/5
=> SP = Rs. 6X/5
According to the given problem
Selling Price = Rs. 900
=> 6X/5 = 900
=> 6X = 900×5
=> 6X = 4500
=> X = 4500/6
=> X = 750
Cost price = Rs. 750
Gain = X/5 = 750/5 = 150
Gain = Rs. 150
Method -2:-
The Selling Price of an article = Rs. 900
Gain Percentage = 20%
We know that
Cost Price = (100×SP)/(100+g)
=> CP = (100×900)/(100+20)
=> CP = 90000/120
=> CP = 9000/12
=> CP =Rs. 750
And Gain = Selling Price - Cost Price
=> Gain = 900-750
=> Gain = Rs. 150
Answer :-
The Cost Price of the article = Rs. 750
Gain on the article = Rs. 150
Used formulae:-
- Cost Price = (100×SP)/(100+g)
- Gain = Selling Price - Cost Price
- Gain or Loss is always calculated on the Cost Price of the article.