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.
On selling houses for rupees 246 400 each a man gained 12% on one hous...
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