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Shailja earns 15 percent on an investment but loses 10 percent...

This question belongs to Arithmetic Ability Profit And Loss
Profit and Loss
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Shailja earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of the two investments is 3 : 5, then the combined loss percent is -

Answer & Solution
Correct Answer: Option A
Let the two investments be Rs. 3x and Rs. 5x respectively.
Then,
Total investment = Rs. (3x + 5x) = Rs. 8x
Total output = Rs. (115% of 3x + 90% of 5x)
= Rs. (3.45x + 4.5x) = Rs. 7.95x
Loss = Rs. (8x - 7.95x) = Rs. 0.05x
$$\eqalign{ & \therefore {\text{Loss percent}} \cr & = \left( {\frac{{0.05x}}{{8x}} \times 100} \right)\% \cr & = \frac{5}{8}\% \cr} $$
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