A shopkeeper buys 6 balloons for one rupee. How many balloons should he sell for one rupee so that he makes a profit of 20%?
1. 3
2. 4
3. 5
4. 6
Answer (2)
To solve this problem, we need to determine how many balloons the shopkeeper should sell for one rupee to achieve a 20% profit. Let's follow these steps:
Cost Price Calculation :
The shopkeeper initially buys 6 balloons for 1 rupee. Therefore, the cost price for 1 balloon is:
Cost Price of 1 balloon = 6 1 rupee
Profit Percentage Calculation :
We need to achieve a 20% profit. This means the selling price should cover the cost and additionally provide a 20% profit on the cost price.
Selling Price Calculation :
The required selling price must account for a 20% profit. Hence, the selling price per balloon becomes:
Selling Price of 1 balloon = Cost Price of 1 balloon + 20% × Cost Price of 1 balloon
Selling Price of 1 balloon = 6 1 + 0.2 × 6 1
Selling Price of 1 balloon = 6 1 + 6 0.2 = 6 1 + 30 1
= 30 5 + 30 1 = 30 6 = 5 1 rupee
Finding the Number of Balloons :
If the selling price of 1 balloon is 5 1 rupees, then the number of balloons the shopkeeper should sell for 1 rupee is:
Number of balloons for 1 rupee = 5 1 1 = 5
So, the shopkeeper should sell 5 balloons for 1 rupee to achieve a 20% profit.
Therefore, the correct option is 3. 5 .
The shopkeeper should sell 5 balloons for 1 rupee to achieve a 20% profit. This is calculated based on the cost price of one balloon and the desired profit percentage. Therefore, the correct option is 3. 5.
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