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A man buys 10 oranges for Rs. 3 and sell...

A man buys 10 oranges for Rs. 3 and sells 8 for Rs. 3. Calculate his gain percent.
A. 20 %
B. 25 %
C. 27%
D. 30 %

A

B

B

D

C

A

D

C

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of calculating the gain percent when a man buys 10 oranges for Rs. 3 and sells 8 oranges for Rs. 3, we can follow these steps: ### Step 1: Calculate the Cost Price (CP) of 1 Orange The total cost price for 10 oranges is Rs. 3. Therefore, the cost price of 1 orange is calculated as follows: \[ \text{CP of 1 orange} = \frac{\text{Total CP}}{\text{Number of oranges}} = \frac{3}{10} = 0.3 \text{ Rs.} \] ### Step 2: Calculate the Selling Price (SP) of 1 Orange The total selling price for 8 oranges is Rs. 3. Therefore, the selling price of 1 orange is calculated as follows: \[ \text{SP of 1 orange} = \frac{\text{Total SP}}{\text{Number of oranges}} = \frac{3}{8} = 0.375 \text{ Rs.} \] ### Step 3: Calculate the Gain The gain is the difference between the selling price and the cost price. Thus, we calculate the gain as follows: \[ \text{Gain} = \text{SP} - \text{CP} = 0.375 - 0.3 = 0.075 \text{ Rs.} \] ### Step 4: Calculate the Gain Percent The gain percent is calculated using the formula: \[ \text{Gain Percent} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100 \] Substituting the values we have: \[ \text{Gain Percent} = \left( \frac{0.075}{0.3} \right) \times 100 \] Calculating this gives: \[ \text{Gain Percent} = 0.25 \times 100 = 25\% \] ### Conclusion The gain percent is 25%. Therefore, the correct answer is option **B. 25%**. ---
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