The final loss percent is 0.25%.
<h3>What is the final loss percent?</h3>
The gap between the cost price and the selling price is what is referred to as a loss. And the loss percent is the loss as a percentage of the actual cost.
Total CP=Rs. 400
Let the CP of the first watch be Rs. x
So, CP of the second watch=Rs.(400-x)
For the first watch,
Gain Percent=5%
SP = ![(1+\frac{5}{100})*x](https://tex.z-dn.net/?f=%281%2B%5Cfrac%7B5%7D%7B100%7D%29%2Ax)
SP=105x/100
For the second watch,
Loss Percent=5%
SP=![(1-\frac{5}{100})(400-x)](https://tex.z-dn.net/?f=%281-%5Cfrac%7B5%7D%7B100%7D%29%28400-x%29)
SP=95(400-x)/100
As the SP of both the watches is the same.
![\frac{105}{100}x=\frac{95}{100}(400-x)](https://tex.z-dn.net/?f=%5Cfrac%7B105%7D%7B100%7Dx%3D%5Cfrac%7B95%7D%7B100%7D%28400-x%29)
105x=38000-95x
105x+95x=38000
200x=38000
x=38000/200
x=190
CP of the first watch=Rs. 190
CP of the second watch=Rs. (400-190)=Rs. 210
SP of first watch=
=Rs. 199.50
SP of second watch=
=Rs. 199.50
Total SP=Rs. 399
Final Loss=Total CP-Total SP
=Rs.(400-399)
=Rs. 1
Final Loss Percent=100/400
=0.25%
Learn more about loss percent here:
brainly.com/question/762291
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