A vendor bought bananas at 6 for a rupee, How many for a rupee must he sell to…

Step-by-Step Solution

To determine the number of bananas to sell for a rupee, we focus on the cost price (CP) and the required selling price (SP) for a fixed quantity.

1. Analyze the Cost:

   • The vendor buys 6 bananas for 1 rupee.

   • Cost Price (CP) for 6 bananas = 1 rupee.

2. Calculate the Required Selling Price (SP):

   • The vendor wants a gain of 20%.

   • Selling Price (SP) for 6 bananas = CP + Profit = CP + (20% of CP).

   • SP for 6 bananas = 1 + (0.20 * 1) = 1.20 rupees.

3. Determine Quantity for 1 Rupee:

   • If 1.20 rupees gets you 6 bananas, how many bananas do you get for 1 rupee?

   • Quantity = (6 bananas / 1.20 rupees) * 1 rupee.

   • Quantity = 6 / 1.20 = 5 bananas.

Therefore, the vendor must sell 5 bananas for a rupee to gain 20%.