Question

Ashima sold two coolers for 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain % or loss % in whole transaction. 50 points.​

Answer 1

Step-by-step explanation:

Solution

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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%