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Previous year, the selling price of TV increased by p percent and the
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21 Dec 2023, 06:41
21 Dec 2023, 06:41
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Previous year, the selling price of TV increased by p percent and the earning per TV sold increased by q percent (p > q). By what percent did the ratio of selling price per TV to earning per TV increase, in terms of p and q?
Indicate all possible expressions.
A. \(\dfrac{p}{q}\) %
B. \(\dfrac{p-q}{1+\frac{q}{100}}\) %
C. \(\dfrac{100(p-q)}{100+p}\) %
D. \(\dfrac{100(p-q)}{100+q}\) %
E. \(\dfrac{100(\frac{p}{q}-1)}{(\frac{100}{q}+1)}\) %
F. \(\dfrac{100(p-q)}{100+p+q}\) %
Indicate all possible expressions.
A. \(\dfrac{p}{q}\) %
B. \(\dfrac{p-q}{1+\frac{q}{100}}\) %
C. \(\dfrac{100(p-q)}{100+p}\) %
D. \(\dfrac{100(p-q)}{100+q}\) %
E. \(\dfrac{100(\frac{p}{q}-1)}{(\frac{100}{q}+1)}\) %
F. \(\dfrac{100(p-q)}{100+p+q}\) %
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Re: Previous year, the selling price of TV increased by p percent and the
[#permalink]
25 Dec 2023, 04:00
25 Dec 2023, 04:00
1
The answers are B, D and E.
New SP = SP * [1 + (p/100)]
New Earning = E * [1 + (q/100)]
Original ratio = SP/E
--> New ratio = SP * (100 + p)/100 / E * (100 + q)/100
= SP * (100 + p) / E * (100 + q)
--> Increase in ratio = New ratio - Old ratio
= [SP * (100 + p) / E * (100 + q)] - SP/E
= (SP/E) * (p - q)/(100 + q)
--> % Increase = [(SP/E) * (p - q)/(100 + q)] / (SP/E) * 100
= 100(p - q)/(100 + q)
Check which options can be expressed in this form.
New SP = SP * [1 + (p/100)]
New Earning = E * [1 + (q/100)]
Original ratio = SP/E
--> New ratio = SP * (100 + p)/100 / E * (100 + q)/100
= SP * (100 + p) / E * (100 + q)
--> Increase in ratio = New ratio - Old ratio
= [SP * (100 + p) / E * (100 + q)] - SP/E
= (SP/E) * (p - q)/(100 + q)
--> % Increase = [(SP/E) * (p - q)/(100 + q)] / (SP/E) * 100
= 100(p - q)/(100 + q)
Check which options can be expressed in this form.
Re: Previous year, the selling price of TV increased by p percent and the
[#permalink]
02 Sep 2026, 11:47
02 Sep 2026, 11:47
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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