Multiple choice

A bought some pencils at the rate of 6 pencils for ₹ 4 and sold them at the rate of 4 pencils for ₹ 6. The percentage profit in this transactions is

  1. 75%

  2. 80%

  3. 125%

  4. 100%

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP of 1 pencil = 4/6 = 2/3. SP of 1 pencil = 6/4 = 3/2. Profit = 3/2 - 2/3 = 5/6. Profit % = (5/6) / (2/3) * 100 = (5/6 * 3/2) * 100 = 15/12 * 100 = 1.25 * 100 = 125%.

AI explanation

The cost price for one pencil is 4 divided by 6, or Rs 2/3. The selling price for one pencil is 6 divided by 4, or Rs 3/2. Using the profit percentage formula of ((Selling Price - Cost Price) divided by Cost Price) times 100, we get ((3/2 - 2/3) divided by 2/3) times 100. This simplifies to (5/6 divided by 2/3) times 100, resulting in a 125% profit.