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Mike, Tom, and Walt are working as sales agents for an insurance company. Previous month relationship between their commissions was \(\frac{MT}{6}=W\), where \(M\), \(T\), and \(W\) are the commissions received by Mike, Tom, and Walt respectively. If this month, Mike's commission is 60% more than previous month and Tom's commission is 50% less than previous month, then how much should Walt's commission change compared to the previous month to ensure that the relationship between their commissions remains the same?
A. Decrease by 12.5% B. Decrease by 20% C. Decrease by 22.5% D. Increase by 12.5% E. Increase by 15%
Mike, Tom, and Walt are working as sales agents for an insurance company. Previous month relationship between their commissions was \(\frac{MT}{6}=W\), where \(M\), \(T\), and \(W\) are the commissions received by Mike, Tom, and Walt respectively. If this month, Mike's commission is 60% more than previous month and Tom's commission is 50% less than previous month, then how much should Walt's commission change compared to the previous month to ensure that the relationship between their commissions remains the same?
A. Decrease by 12.5% B. Decrease by 20% C. Decrease by 22.5% D. Increase by 12.5% E. Increase by 15%
Previous month \(\frac{MT}{6}=W\);
This month \(1.6M*0.5T=0.8MT\). So, \(MT\) is decreased by 20% so \(W\) should also decrease by the same percent for the relationship to remain the same.
Mike, Tom, and Walt are working as sales agents for an insurance company. Previous month relationship between their commissions was \(\frac{MT}{6}=W\), where \(M\), \(T\), and \(W\) are the commissions received by Mike, Tom, and Walt respectively. If this month, Mike's commission is 60% more than previous month and Tom's commission is 50% less than previous month, then how much should Walt's commission change compared to the previous month to ensure that the relationship between their commissions remains the same?
A. Decrease by 12.5% B. Decrease by 20% C. Decrease by 22.5% D. Increase by 12.5% E. Increase by 15%
Previous month \(\frac{MT}{6}=W\);
This month \(1.6M*0.5T=0.8MT\). So, \(MT\) is decreased by 20% so \(W\) should also decrease by the same percent for the relationship to remain the same.
Answer: B
Hi
Shouldnt we have an increase of 20% in Ws commission? Assuming numbers say M=3, T=4 so as per old rates W=2 Now, M=4.8, T=2 so W=1.6 We have to bring the commissions back to old levels so W from 1.6 has to go back to 2 relative to 2 as mentioned in the question. So 0.4/2 which is an increase of 20%?
I reached the part where \(\frac{0.8MT}{6}\)= W, however the next step I did was \(\frac{MT}{6}\) = \(\frac{W}{0.8}\) This implies that there's an increase in the value of W.
I reached the part where \(\frac{0.8MT}{6}\)= W, however the next step I did was \(\frac{MT}{6}\) = \(\frac{W}{0.8}\) This implies that there's an increase in the value of W.
Please correct me. Thanks.
MT is decreased by 20% so W should also decrease by the same percent for the relationship to remain the same. Try plugging some values for better understanding.
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71% (01:21) correct 
