Work out the percentage change when a price of £65 is decreased to £39.

40% decrease

Step-by-step explanation:

Say the percent decrease is x%. Then, we can write the equation:

65 - x% * 65 = 39

Notice that 65 is a common factor of both terms on the left, so factor that out:

65 * (1 - x%) = 39

Divide by 65 on both sides:

1 - x% = 0.6

Subtract 0.6 from and add x% to both sides:

x% = 0.4

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.4

Multiply by 100:

x = 40

So the percentage decrease is 40%, or the percent increase is -40% (whichever way the question asks).

Hope this helps!

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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