A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg.

A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 18%?

Quiz

Answer/Solution

17.70 per kg

Steps/Work

C.P. of 200 kg of mixture = (80 × 13.50 + 120 × 16)
= 3000.
S.P. = 118% of 3000 = (118⁄100 × 3000) = 3540
∴ Rate of S.P. of the mixture = (3540⁄200) per kg
= 17.70 per kg.
Answer B