Question : A vendor earns 10% on an investment but loses 10% on another investment. What will be the combined loss or gain if the two investments are in the ratio of 1 : 3?
Option 1: 4% loss
Option 2: 5% gain
Option 3: 4% gain
Option 4: 5% loss
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Correct Answer: 5% loss
Solution :
Given: Investments are in the ratio 1 : 3
Let the investment be 100 and 300.
When profit of 10% on the first investment, then profit = $\frac{10}{100}×100=10$
When loss of 10% on the second investment, then loss = $\frac{10}{100}×300=30$
Overall loss = 30 - 10 = 20
Total investment = 400
Loss% = $\frac{20}{400}×100=5$%
Hence, the correct answer is 5% loss.
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