Question

A shopkeeper bought two watches for rs. 400.he sold them to gain 5 percent on one and lose 5 percent on the other .calculate his final gain or loss lercent if the sp of both watches is the same.

Answer 1

The final loss percent is 0.25%.

What is the final loss percent?

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 = $(1+\frac{5}{100})*x$

SP=105x/100

For the second watch,

Loss Percent=5%

SP=$(1-\frac{5}{100})(400-x)$

SP=95(400-x)/100

As the SP of both the watches is the same.

$\frac{105}{100}x=\frac{95}{100}(400-x)$

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=$\frac{105}{100}*190$ =Rs. 199.50

SP of second watch=$\frac{95}{100}*210$=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%

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