Multiple choice

A dishonest trader marks up his goods by 80% and gives a discount of 25%. Besides, he cheats 20% while purchasing and 10% while selling. Find the overall profit percentage of shopkeeper.

  1. 60%

  2. 40%

  3. 75%

  4. 80%

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Assuming CP = 100 units. While purchasing, trader gets 120 units for 100 (cheats 20%), so effective CP per unit = 100/120 = 5/6. He marks up by 80%, so MP = 100 × 1.8 = 180. After 25% discount, SP = 180 × 0.75 = 135. While selling, he gives only 90 units but charges for 100 (cheats 10%), so effective SP per unit = 135/0.9 = 150. Profit = 150 - (100/120) × 100 = 150 - 83.33 = 66.67 on CP 83.33, which is 80%.

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