Let the loss be ₹y when shopkeeper sold article at ₹ 455 . If he sold at ₹ 490 he gain 4 times the loss means 4y profit. According to the question, Loss =
CP−SP
CP
×100 y=
(CP−455)
CP
×100 . . . (i) Profit =
SP−CP
CP
×100 4y=
490−CP
CP
×100 . . . (ii) Put y value from Eq. (i) in Eq. (ii), ⇒4×
(CP−455)
CP
×100 =
(490−CP)
CP
×100 ⇒4CP−1820=490−CP ⇒5CP=1820+490=2310 CP=₹462 If he sell at 25% profit ⇒SP=CP[