On selling houses for rupees 246 400 each a man gained 12% on one hous...
Understanding the Problem
In this scenario, a man sells two houses for the same price of rupees 246,400 each. He gains 12% on one house and incurs a loss of 12% on the other. We need to calculate the total gain or loss from these transactions.
Calculating Cost Prices
1. House with Gain:
- Selling Price (SP) = 246,400
- Gain = 12%
- Cost Price (CP) = SP / (1 + Gain Percentage)
- CP = 246,400 / 1.12 = 220,000
2. House with Loss:
- Selling Price (SP) = 246,400
- Loss = 12%
- Cost Price (CP) = SP / (1 - Loss Percentage)
- CP = 246,400 / 0.88 = 280,000
Calculating Total Cost Price and Selling Price
- Total Selling Price (SP):
- SP of both houses = 246,400 + 246,400 = 492,800
- Total Cost Price (CP):
- CP of both houses = 220,000 + 280,000 = 500,000
Determining Total Gain or Loss
- Total Gain or Loss = Total SP - Total CP
- Total Gain or Loss = 492,800 - 500,000 = -7,200
Conclusion
The man experiences a total loss of rupees 7,200 from selling both houses. This example illustrates how gains and losses can offset each other when dealing with multiple transactions.
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