a person sold his watch for rs.24 and got a profit percentage equal to the cost price,then the cost price is
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Let the cost price be x.
So,
x*(100+x)/100=24.
=>100x+x^2=2400
=>x2+100x-2400=0
=>x2+120x-20x-2400=0
=>x(x+120)-20(x+120)=0
=>(x-20)(x+120)=0
So, either
x-20 = 0. OR. x+120=0
=>x=20. OR. =>x=-120
But cost price cannot be negative. So the cost price is Rs.20.(Positive value of x)
Read more on Brainly.in - https://brainly.in/question/1215241#readmore
So,
x*(100+x)/100=24.
=>100x+x^2=2400
=>x2+100x-2400=0
=>x2+120x-20x-2400=0
=>x(x+120)-20(x+120)=0
=>(x-20)(x+120)=0
So, either
x-20 = 0. OR. x+120=0
=>x=20. OR. =>x=-120
But cost price cannot be negative. So the cost price is Rs.20.(Positive value of x)
Read more on Brainly.in - https://brainly.in/question/1215241#readmore
Similar questions
Profit percentage is x%
Profit %= profit/cost price * 100
x=(24-x)/x * 100
x²=2400-100x
x²+100x-2400=0
x²+120x-20x-2400=0
x(x+120)-20(x+120)=0
(x-20)(x+120)=0
x can be 20 or -120
As money can't be negative, x is 20
Cost price is rs.20