the price of item P is twice the price of item Q if the price of Pea is decreased by 25% and the price of Q is increased by 50% find the percent increase in the sum of the prices of a of the two items
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Step-by-step explanation:
sum of the prices of the two items increased 7/4 times of p
7/4 times of p mean 175 % increased
P is twice the price of item Q
p=2Q
if p=x
x=2x
P is decreased by 25%
p - 25% of p
p=x-25%
Q is increased by 50%
Q + 50% of Q
Q=2x+50%
50 % of Q =x
Q=2x+x
Q=3x
sum of the prices of the two items =- x - (25/100) +3x
sum of the prices of the two items = (- 100x - 25x ) / (100) + 3X
sum of the prices of the two items = - 125x/100 +3x
sum of the prices of the two items =- 5x/4 +3x
sum of the prices of the two items =(- 5x +12X )4
sum of the prices of the two items = 7x/4
sum of the prices of the two items increased 7/4 times of p
7/4 times of p mean 175 % increased
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