Calculating Article Costs
The problem involves two articles sold at the same Selling Price (SP), ₹4,000 each. One article yields a 15% gain, and the other incurs a 15% loss. We need to find the total gain or loss.
Cost Price of Article 1 (15% Gain)
The formula relating Cost Price (CP), Selling Price (SP), and Profit Percentage is: $SP = CP \times (1 + \text{Profit %})$ Rearranging for CP: $CP_1 = \frac{SP}{(1 + \text{Profit %})} = \frac{4000}{(1 + 15/100)} = \frac{4000}{1.15}$ $CP_1 \approx 3478.26$
Cost Price of Article 2 (15% Loss)
The formula relating Cost Price (CP), Selling Price (SP), and Loss Percentage is: $SP = CP \times (1 - \text{Loss %})$ Rearranging for CP: $CP_2 = \frac{SP}{(1 - \text{Loss %})} = \frac{4000}{(1 - 15/100)} = \frac{4000}{0.85}$ $CP_2 \approx 4705.88$
Total Calculation
Calculate the total Cost Price (CP) and total Selling Price (SP).
- Total SP = ₹4,000 + ₹4,000 = ₹8,000
- Total CP = $CP_1 + CP_2 \approx 3478.26 + 4705.88 = 8184.14$
Determining Overall Loss
Compare the Total CP and Total SP to find the net result.
- Since Total CP (₹8184.14) > Total SP (₹8000), there is a net loss.
- Total Loss = Total CP - Total SP $\approx 8184.14 - 8000 = 184.14$
Final Rounded Loss
Rounding the total loss to the nearest integer: Total Loss $\approx$ ₹184
Similar Questions
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Important Questions from Profit and Loss
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If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be
