Question

a man sells two articles at the same price on one article he makes a profit of 15% and the other He suffered a loss of 15% find the net gain percent or net loss percent​

Answer 1

Step-by-step explanation:

For the first case,

Profit % = C.P1/S.P.−C.P.1 ×100=15 %

=>S.P.−C.P.1=0.15C.P.1

=>S.P.=1.15C.P.1

C.P.1= 115/100S.P. - (1)

For the second case,

Loss % = C.P2/C.P.2−S.P.×100=15 %

=>C.P.2−S.P.=0.15C.P.1

=>0.85C.P.2=S.P.

=>C.P.2=100/85S.P. -- (2)

From eqns 1 and 2

1.15C.P.1=0.85C.P.2

C.P.1= 0.85/1.15 C.P.2

C.P.1= 17/23C.P.2

Now, Total C.P. =C.P.1+C.P.2=

17/23C.P.2+C.P.2= 40/23C.P.2

and Total S.P. =2SP=2(0.85C.P.2)=

17/10C.P.2

And Loss % on the whole =

40/23C.P.2-17/10C.P.2

(by total)/40/23 C.P2×100=2.25 %