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Pawan kaul earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of two investments is 3 : 5, then the combined loss percent is = ?

Pawan kaul earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of two investments is 3 : 5, then the combined loss percent is = ? Correct Answer $$ \frac{5}{8}\% $$

Let the total first investment is 300 and the second is 500.
Total Investment = 300 + 500 = 800
15% profit on 1st investment = 300 + 15% of 300 = 300 + 45 = 345
10% loss on 2nd investment = 500 - 10% of 500 = 500 - 50 = 450
Now total amount = 345 + 450 = 795
Total loss = 800 - 795 = 5
% loss = $$\frac{5}{{800}} \times 100 = \frac{5}{8}\% $$
∴ % loss = $$ \frac{5}{8}\% $$

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