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%.