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The profits of QRS company rose 10% from March to April, then dropped

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Bunuel
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The profits of QRS company rose 10% from March to April, then dropped [#permalink] New post   06 Mar 2015, 07:37
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The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?

A. 15%
B. 32%
C. 40%
D. 62%
E. 80%




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B
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Re: The profits of QRS company rose 10% from March to April, then dropped [#permalink] New post   06 Mar 2015, 07:42
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Is answer B?
Assume 100 in march , then 110 in April as 10% increase , Then 88 in may as 20% decrease from April , and then 132 in june which is 150% of 88 .
So overall increase is from 100 to 132 is 32%
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Re: The profits of QRS company rose 10% from March to April, then dropped [#permalink] New post   06 Mar 2015, 09:01
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Bunuel wrote:
The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?

A. 15%
B. 32%
C. 40%
D. 62%
E. 80%




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+1 for B. Assuming profit as 100. 100+10=110
110-22=88
88+44=132
Net profit=132-100=32
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Re: The profits of QRS company rose 10% from March to April, then dropped [#permalink] New post   08 Mar 2015, 14:50
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Bunuel wrote:
The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?

A. 15%
B. 32%
C. 40%
D. 62%
E. 80%




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MAGOOSH OFFICIAL SOLUTION:

Given the foregoing discussion, it may be obvious now the trap-mistake answer is (C), which results from simply adding and subtracting the percents. We need multipliers.

multiplier for a 10% increases = 1 + 0.10 = 1.1
multiplier for a 20% decreases = 1 – 0.20 = 0.8
multiplier for a 50% increases = 1 + 0.50 = 1.5

Now, multiply these. First, multiply (0.8) and (1.5), using the doubling & halving trick. Half of 0.80 is 0.40, and twice 1.5 is 3
(0.8)*(1.5) = (0.4)*(3) = 1.2

Now, multiply this by 1.1
1.2*1.1 = 1.32

Thus, the three percent changes combined produce a 32% increase.

Answer = (B).
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Re: The profits of QRS company rose 10% from March to April, then dropped [#permalink] New post   03 May 2020, 05:42
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Bunuel wrote:
The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?

A. 15%
B. 32%
C. 40%
D. 62%
E. 80%




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We can let the profit in March be 100. So the profit in April is 100 x 1.1 = 110, the profit in May is 110 x 0.8 = 88, and the profit in June is 88 x 1.5 = 132, which is a 32% increase from 100.

Answer: B
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Re: The profits of QRS company rose 10% from March to April, then dropped [#permalink]
03 May 2020, 05:42
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