A man sells a radio set at a gain of 5%. Had he sold it for Rs 490have

1.	A man sells a radio set at a gain of 5%. Had he sold it for Rs 490have lost 2%. Find the cost price of the radio set.
Answer» C.P = xgain = 5 % S.P = x+(5/100)x= x+(1/20)x= (21/20)x----------------------------Now if S.P were to be ₹490 less , then ; S.P = (21/20)x - 490C.P = xLoss = 2 % S.P = x - (2/100)x (21/20)x - 490 = x - (1/50)x (21/20)x + (49/50)x = 490 [ (105+98)/100 ] x = 490 x = 49000/203 x = 241.37----------------------------------------Hence the cost price of the Radio set is ₹ 241.37

A man sells a radio set at a gain of 5%. Had he sold it for Rs 490have lost 2%. Find the cost price of the radio set.

Answer»

C.P = xgain = 5 %

S.P = x+(5/100)x= x+(1/20)x= (21/20)x----------------------------Now if S.P were to be ₹490 less , then ;

S.P = (21/20)x - 490C.P = xLoss = 2 %

S.P = x - (2/100)x

(21/20)x - 490 = x - (1/50)x

(21/20)x + (49/50)x = 490

[ (105+98)/100 ] x = 490

x = 49000/203

x = 241.37----------------------------------------Hence the cost price of the Radio set is ₹ 241.37