Question

Ashima bought 2 coolers for ₹3,900 each. On selling 1st cooler she gained 5% & on

selling other she suffered a loss of 5%. Find her overall gain% or loss%​

Answer 1

Solution

SP of each cooler =Rs 3990

Suppose, the CP of both coolers for Ashima =x

We know that, Profit =SP−CP

So,  

⇒3990=x+x×  

100

5

​

 

⇒3990=  

20

21x

​

 

⇒x=  

21

3990×20

​

=Rs 3800

And also, on another transaction of other cooler she has a loss =5%

So,  

⇒=x−  

100

x×5

​

 

⇒=  

20

19x

​

 

⇒x=  

19

3990×20

​

=Rs 4200

Now, the net CP for Ashima =Rs 3800+Rs 4200

=Rs 8000

Ashima sold both coolers =Rs 3990×2=Rs 7980

Here, CP>SP.

So, Ashima has loss her whole transaction.

Now, Loss =Rs 8000−Rs 7980=Rs 20

And loss percentage =  

8000

20

​

×100=  

8000

2000

​

=  

4

1

​

%=0.25%