Question

15. The price of item P is twice the price of item Q. If the
price of P is decreased by 25% and the price of Q is
increased by 50%, find the percentage increase in the
sum of the prices of the two items.​

Answer 1

Answer:

sum of the prices of the two items increased  7/4 times of p

7/4 times of p mean 175 % increased

Step-by-step explanation:

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