Question

a man purchases 1 shirt and 1 t shirt for rs 6000.He sells the shirt at a profit of 20 percent and t shirt at a loss of 10 percent as aresult he gains 2 percent on whole transaction. find the cp of the tshirt

Answer 1

let C.P of t shirt=x
then C.P of shirt=6000-x
S.P for shirt= (6000-x)+20% of (6000-x)
=(6000-x)+20(6000-x)÷100
(6000-x)[1+1/5]=(6000-x)*(6/5)
S.P for t shirt=x-10% of x =x-10x/100=9x/10

Net profit=(6000-x)(6/5) - 9x/10
=(72000-12x-9x)÷10
=(72000-21x)÷10..........(1)

Net profit=6000+2% of 6000
=6000+(2*6000)/100=6120

(72000-21x)/10=6120
72000-21x=61200
21x=72000-61200=10800
x=3600/7=514.28 which is C.P of t shirt