a watch when sold at a profit 6% yeild rs 870 more than it is sold at a loss at6%.find the cost price of watch
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Let the CP of a watch be x
profit=6%
SP of a watch at 6% profit =
SP= [100+ Gain%÷100]×cp
(100+6/100)× x
106X/100
SP of a watch at 6% loss =
SP = [100-Loss%÷100]×cp
( 100-6/100)× X
96x/100
.•. 106x/100-96x/100= 870
= 10x/100=870
x=8700
Hence the CP is ₹8700
profit=6%
SP of a watch at 6% profit =
SP= [100+ Gain%÷100]×cp
(100+6/100)× x
106X/100
SP of a watch at 6% loss =
SP = [100-Loss%÷100]×cp
( 100-6/100)× X
96x/100
.•. 106x/100-96x/100= 870
= 10x/100=870
x=8700
Hence the CP is ₹8700
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