SOLUTION: A Tv and a DVD was sold for ₹8000 each. The shopkeeper made a loss of 4% on the DVD and a profit of 8% on the Tv. Find the overall gain or loss %.

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A Tv and a DVD was sold for ₹8000 each. The shopkeeper made a loss of 4% on the DVD and a profit of 8% on the Tv. Find the overall gain or loss %.      Log On


   

Question 1098998: A Tv and a DVD was sold for ₹8000 each. The shopkeeper made a loss of 4% on the DVD and a profit of 8% on the Tv. Find the overall gain or loss %.
Answer by greenestamps(13200) About Me  (Show Source):
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The DVD was sold for %28100-4%29=96 percent of its purchase price; so the purchase price was 8000%2F0.96+=+8333.33.

The TV was sold for %28100%2B8%29=108 percent of its purchase price; so the purchase price was 8000%2F1.08+=+7407.41.

The total cost of the two items was 8333.33%2B7407.41+=+15740.74.

The shopkeepers's profit was 16000-15740.74+=+259.26.

His percent profit was 100%2A%28259.26%2F15740.74%29+=+1.647

His overall profit percentage on the two sales was 1.647%.