Question

Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the

other at a loss of 9%. If Mariam obtained the same amount for each fan, find the

cost price of each fan.​

Answer 1

Answer:

420

Step-by-step explanation:

It is given that the S.P is same for both the fans.  

Let C.P of the first fan be Rs. x

∴C.P of the second fan =Rs. (3605−x)  

Profit on the first fan =15%  

Loss on the second fan =9%  

For the first fan,

S.P=C.P(  

100

100+Gain%

​

)

=x(  

100

115

​

)

=  

20

23x

​

 

For the second fan, S.P=C.P(  

100

100−Loss%

​

)

=(3605−x)(  

100

91

​

)

Since S.P of both the fans is the same,

∴  

20

23x

​

=(3605−x)(  

100

91

​

)

⇒2300x=91(72100−20x)

⇒2300x=6561100−1820x

⇒4120x=6561100

⇒x=Rs. 1592.50

Thus, C.P of the first fan is Rs. 1592.50 .

C.P of the second fan =Rs. (3605−1592.50)=Rs. 2012.50

difference between the cost price of first and second fan =2012.50−1592.50=Rs420