a man bought to radio set for Rs 624 he sold one at a loss of 14% and

1.	a man bought to radio set for Rs 624 he sold one at a loss of 14% and the other at a profit of 14% if the selling price of each a same determine the cost price of each
Answer» let x be the CP for ONE radio and y be that for next. $x + y = 624 \: \: \: \: \: \: \: \: \: \: <klux>EQN</klux> \: no \: 1$ total sp= $(1 + \frac{14}{100}) \times x+ (1 - \frac{14}{100}) \times y = \frac{114}{100} \times x + \frac{86}{100} \times y .$ given, $\frac{114}{100} \times x = \frac{86}{100} \times y$ $114x = 86y \: \: \: \: \: eqno \: 2$ substitute eqn no 2 in 1 we GET , 114x+x=624 x= 624/115=Rs5.6 y=114x/86=Rs7.20