A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 8%.
Given:
Ratio of investments = 2 : 3
Gain on one investment = 10%
Loss on other investment = 20%
Explanation:
Let the first and second investments be 200 and 300 respectively.
Then, total amount of investement = 500
Now, gain on first investment = 10%
So, amount after gain = = 220
Also, loss on second investment = 20%
So, amount after loss = = 240
Now the total amount after both profit and loss = 220 + 240 = 460
Now overall loss = 500 - 460 = 40
Therefore, loss % = = 8.
Hence the combined loss percentage is 8%.