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A vendor buys 12 bananas for Rs 60 and s...

A vendor buys 12 bananas for Rs 60 and sells 5 banana for Rs 32 what will be his gain %

A

28

B

32

C

24

D

22

Text Solution

AI Generated Solution

The correct Answer is:
To find the gain percentage for the vendor, we will follow these steps: ### Step 1: Calculate the Cost Price (CP) of one banana The vendor buys 12 bananas for Rs. 60. \[ \text{Cost Price of 1 banana} = \frac{\text{Total Cost Price}}{\text{Number of bananas}} = \frac{60}{12} = 5 \text{ Rs.} \] ### Step 2: Calculate the Selling Price (SP) of one banana The vendor sells 5 bananas for Rs. 32. \[ \text{Selling Price of 1 banana} = \frac{\text{Total Selling Price}}{\text{Number of bananas}} = \frac{32}{5} = 6.4 \text{ Rs.} \] ### Step 3: Calculate the Gain Gain can be calculated using the formula: \[ \text{Gain} = \text{Selling Price} - \text{Cost Price} \] Substituting the values we found: \[ \text{Gain} = 6.4 - 5 = 1.4 \text{ Rs.} \] ### Step 4: Calculate the Gain Percentage Gain percentage is calculated using the formula: \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \] Substituting the values: \[ \text{Gain Percentage} = \left( \frac{1.4}{5} \right) \times 100 = 28\% \] ### Final Answer The gain percentage is **28%**. ---
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