x and y:Let the cost of the table be xAnd the cost of the chair be YFIND the original selling price of the table and chair:Profit from the table = 10% x = 0.1xSelling Price of the table = x + 0.1x = 1.1x Profit from the chair = 25% y = 0.25ySelling Price of the chair = y + 0.25y = 1.25yTotal selling price = 1.1x + 1.25y FORM the equation:The selling price is RS 10501.1x + 1.25y = 1050Find the new selling price of the table and chair:Profit from the table = 25% x = 0.25xSelling Price of the table = x + 0.25x = 1.25xProfit from the chair = 10% y = 0.1ySelling Price of the chair = y + 0.1y = 1.1yTotal selling price = 1.25x + 1.1y Form the equation:1.25x + 1.1y = 1065Putting the 2 equations together:1.1x + 1.25y = 1050 ----------------- [ 1 ]1.25x + 1.1y = 1065----------------- [ 2 ][ 1 ] x 1.25 :      1.375x + 1.5625y = 1312.6 ---------------- [ 3 ][ 2 ] x 1.1  :       1.375x + 1.21y = 1171.50      ---------------- [ 4 ][ 3 ] - [ 4 ] :0.3525y = 141y = Rs 400  ----------------  SUB into [ 1 ] FIND x:1.1x + 1.25y = 1050 1.1x + 1.25 (400) = 10501.1x + 500 = 10501.1x = 550x = Rs 500Find the cost price:Cost Price of the table = x = Rs 500Cost Price of the chair = y = Rs 400Answer: The cost price of the table is Rs 500 and the cost price of the chair is Rs 400