A vendor gets a profit in percentage equal to the cost price of a flower pot when he sells it for Rs.96. Find the cost of the flower pot and the percentage of profit.
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Let C.P. =a
% profit= a%
S.P. = a x (100 + a )/100 = 96
a( 100 + a ) = 9600
100a + a^2 = 9600
a^2 + 100a - 9600 = 0
a^2 + 160a - 60a - 9600 = 0
a( a + 160 ) - 60 ( a + 160 ) = 0
(a + 160 ) ( a - 60 ) = 0
a= -160 & 60
money should not in negative so, a= 60
C.P. = % profit = 60%
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