plz solve it's urgent
Answers
Step-by-step explanation:
Given :-
Satwinder bought two fans for Rs. 3605. She sold one at a profit of 15% and the other at a loss of 9% . Satwinder obtained the same amount for each fan.
To find :-
Find the cost price of each fan ?
Solution :-
Given that
Satwinder bought two fans for Rs. 3605.
Let the cost price of first fan be Rs. X
Then, the cost price of the second fan
= Rs. (3605-X)
The gain percentage on the first fan
= 15%
We know that
Selling Price = [(100+g)×Cost Price]/100
=> Selling Price of the first fan
=> [(100+15)×X]/100
=> (115X)/100
=> 23X/20
The selling Price of the first fan
= Rs. 23X/20
Loss percentage on the second fan = 9%
We know that
Selling Price = [(100-l)×Cost Price]/100
=> Selling Price of the second fan
=> [(100-9)×(3605-X)]/100
=> [91(3605-X)]/100
=> (328055-91X)/100
The selling Price of the second fan
= Rs. (328055-91X)/100
Given that
Satwinder obtained the same amount for each fan.
=> 23X/20 = (328055-91X)/100
On applying cross multiplication then
=> 23X×100 = (328055-91X)×20
=> 2300X = 6561100-1820X
=> 2300X+1820X = 6561100
=> 4120X = 6561100
=> X = 6561100/4120
=> X = 1592.50
The cost price of the first fan
= Rs. 1592.50
The cost of the second fan
=> 3605-1592.50
=> Rs. 2012.50
Answer:-
The cost price of the first fan
= Rs. 1592.50
The cost price of the second fan
= Rs. 2012.50
Used formulae:-
→Selling Price = [(100+g)×Cost Price]/100
→Selling Price = [(100-l)×Cost Price]/100
- CP = Cost Price
- l = loss
- g = gain or profit