The commission of a broker decreased by 25%, by what amountshould he increase his business so as to get the same amount of commission?16.66%28%33.33%62.5%
Question
The commission of a broker decreased by 25%, by what amountshould he increase his business so as to get the same amount of commission?16.66%28%33.33%62.5%
Solution
The broker's commission decreased by 25%, which means he is now earning 75% of his original commission. To get back to his original commission, he needs to make up the difference, which is 100% - 75% = 25%.
However, this 25% increase is not based on his original business volume, but on his reduced business volume (which is now 75% of the original). Therefore, to find out by what percentage he needs to increase his business, we need to calculate 25% as a percentage of 75%.
So, the calculation would be (25/75)*100 = 33.33%.
Therefore, the broker should increase his business by 33.33% to get the same amount of commission as before.
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