Hi ,
here are my two cents for this question
In county A let \(p_1\) be price before tax, \(t_1\)be the tax
then total price in county A is say M=\(p_1\)+\(p_1t_1\)
In county B let \(p_2\) be price before tax, \(t_2\)be the tax
then total price in county B is say N= \(p_2\)+\(p_2t_2\)
We are0 asked if M>N
To answer this question we need to know that tax rates at each county, and base price at each county / or we need to know the ratio of prices and ratio of taxes to come to conclusion about the comparison of prices.
Now Stmt 1:\(t_1\)> \(t_2\). OK we can have two case results from this.
Case a:\(p_1\)>\(p_2\) Say \(p_1\)= 150, \(p_2=100,\)\(t_1=20\), \(t_2=10\), then we have
\(t_1\)> \(t_2\)
M= 150+30 & N=100+10.
(Here we have\(p_1t_1\)> \(p_2t_2\), or 30>10)So M=180,N=110
We have from this that M>N
Case b:\(p_1\)<\(p_2\) Say \(p_1\)= 100, \(p_2=150,\)\(t_1=20\), \(t_2=10\), then we have
\(t_1\)> \(t_2\)
M= 100+20 & N=150+15.
(Here we have\(p_1t_1\)> \(p_2t_2\), or 20>15) So M=120,N=165
We have from this that M<N
So Stm1 Insufficient Now Stmt 2: \(p_1t_1\)> \(p_2t_2\). We can have several cases from this , however if we refer our stmt 1 (the highlighted portion ) we already have \(p_1t_1\)> \(p_2t_2\). and we did get different answers on each case.
So Stm2 Insufficient Other cases except those not discussed in statement 1 can be
Say \(p_1=p_2\) & \(t_1\)> \(t_2\)
Say Say \(p_1=p_2\) =150 and \(t_1\)= 20 and \(t_2\)=10
we will have M= 150+30 &N= 150+10 so 180>160or M>N
Say \(p_1>p_2\) & \(t_1\)= \(t_2\) Say \(t_1\)= \(t_2\) = 20 Say\(p_1\)= 150 and \(p_2\)= 100,then we have
M= 150+30
N=100+20
we have M>N
Now if we combine both statements , there is no new information, Hence E
Probus
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Probus
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