Select the correct answerA vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?Options3564
Question
Select the correct answer
A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Options
- 3
- 5
- 6
- 4
Solution
The vendor bought bananas at 6 for a rupee. To gain a profit of 20%, he must sell the bananas at a higher price.
Step 1: Calculate the cost price of one banana. Cost price of 6 bananas = 1 rupee So, cost price of one banana = 1/6 = 0.1667 rupees
Step 2: Calculate the selling price of one banana to gain 20% profit. Profit = 20% of cost price Profit = 20/100 * 0.1667 = 0.0333 rupees So, selling price of one banana = cost price + profit = 0.1667 + 0.0333 = 0.2 rupees
Step 3: Calculate how many bananas he must sell for a rupee to gain 20% profit. Number of bananas he must sell for a rupee = 1 / selling price of one banana = 1 / 0.2 = 5
So, the vendor must sell 5 bananas for a rupee to gain a 20% profit. Therefore, the correct answer is 5.
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