A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Aptitude Profit and Loss Difficulty: Easy
Choose an option
Answer

Correct Answer: 5 for Re. 1

Explanation

Given Data

  • Purchase rate = 6 toffees for Re. 1 ⇒ CP per toffee = Re. 1 ÷ 6 = Rs. 0.1667
  • Target: 20% profit on CP

Step 1: Compute target SP per toffeeSP per toffee = CP × (1 + 20%) = (1/6) × 1.2 = 0.2 = Re. 1 ÷ 5

Step 2: Convert back to a convenient selling phraseIf SP per toffee is Re. 0.20, then he must sell 5 for Re. 1.

Checks & Common Pitfalls

  • Profit is on cost price; multiply CP by 1.20 for a 20% gain.
  • Do not invert the ratio; ensure the selling pack count decreases when seeking profit.

Final AnswerHe should sell 5 for Re. 1 to gain 20%.

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