Question

Red Cooper’s Discount Footwear sells all pairs of shoes for one price and all pairs of sandals for another price. On Saturday the store sold 22 pairs of shoes and 16 pairs of sandals for Rs.37700. On Friday the store sold 8 pairs of shoes and 32 pairs of sandals for Rs.41200. How much more do pairs of sandals cost than pairs of shoes at Red Cooper’s Discount Footwear? A. Rs.75 B. Rs.50 C. Rs.85 D. Rs.100 E. NOTA

Answer 1

LET PRICE OF SHOES=s
AND PRICE OF SANDALS=d
i.e. 22s+16d=37700...................1
and 8s+32d=41200
i.e. 4s+16d=20600.......................2
BY SUBTRACTING 2 FROM 1, WE GET
18s=17100
i.e. s=950
BY PUTTING THIS VALUE IN 1, WE GET
22(950)+16d=37700
i.e. 20900+16d=37700
i.e. 16d=37700-20900
i.e. d=16800/16=1050
i.e. d-s=1050-950=100