Question

A dealer bought two watches for Rs 400. He sells. one watch at a profit of 20% and the other at a loss of 20% . If the selling price of each watch is the same ,find his total loss or profit percent.​

Answer 1

The total loss % is 1%.

Step-by-step explanation:

Since we have given that

Cost of two watches = Rs.400

Profit % = 20%

Loss % = 20%

Let the cost price of first watch be 'x'

Let the cost price of second watch be '400-x'.

Since the selling price of each watch is the same,

$\dfrac{100+20}{100}x=\dfrac{100-20}{100}(400-x)\\\\120x=80(400-x)\\\\120x=32000-80x\\\\120x+80x=32000\\\\200x=32000\\\\x=\dfrac{32000}{200}\\\\x=160$

So, the Cost price of second watch = $400-160=240$

Profit = $0.2\times 160=Rs.\ 32$

Loss = $0.2\times 240=Rs.\ 48$

Total loss would be

$32-48=-4$

Loss% would be

$\dfrac{4}{400}\times 100=1\%$

Hence, the total loss % is 1%.

# learn more:

A dealer bought two watches for Rs. 400. He sells one at a profit of 20% and the other at a loss of 20%. If the SP of each is same, find his total loss or gain percent.​

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