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a person sold his watch for rs 24 and got a percentage of profit equal to the cost price then the cost price is

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a person sold his watch for rs 24 and got a percentage of profit equal to the cost price then the cost price is
  • Ars 144
  • Brs18
  • Crs22
  • Drs 20
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Let us assume the cost price be x

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