Calculating the Shopkeeper's Gain Percentage
This problem involves calculating the profit margin based on the cost and selling prices of mobile phones.
1. Find the Cost Price (CP) per Mobile Phone:
- Total cost for 6 phones = ₹ 72000
- Cost Price (CP) per phone = Total Cost / Number of phones
- \( \text{CP per phone} = \frac{₹ 72000}{6} = ₹ 12000 \)
2. Determine the Cost Price (CP) for the Phones Sold:
- The shopkeeper sold 2 mobile phones.
- CP for 2 phones = Number of phones sold \(\times\) CP per phone
- \( \text{CP for 2 phones} = 2 \times ₹ 12000 = ₹ 24000 \)
3. Determine the Selling Price (SP) for the Phones Sold:
- The problem states that 2 phones were sold for ₹ 72000.
- Selling Price (SP) for 2 phones = ₹ 72000
4. Calculate the Gain:
- Gain = Selling Price (SP) - Cost Price (CP)
- \( \text{Gain} = ₹ 72000 - ₹ 24000 = ₹ 48000 \)
5. Calculate the Gain Percentage:
- Gain Percentage is calculated on the cost price of the items sold.
- \( \text{Gain \%} = \left( \frac{\text{Gain}}{\text{CP for 2 phones}} \right) \times 100 \)
- \( \text{Gain \%} = \left( \frac{₹ 48000}{₹ 24000} \right) \times 100 \)
- \( \text{Gain \%} = 2 \times 100 = 200\% \)
The shopkeeper's gain percentage is 200%.
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