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16 Sep 2014, 00:49
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The table below shows the monthly sales of Aveko-company (in millions of dollars) starting from its first month of operation in January:
In which month did Aveko achieve the greatest percentage increase in sales compared to the previous month?
A. February
B. March
C. April
D. May
E. July
In which month did Aveko achieve the greatest percentage increase in sales compared to the previous month?
A. February
B. March
C. April
D. May
E. July
16 Sep 2014, 00:49
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Official Solution:
The table below shows the monthly sales of Aveko-company (in millions of dollars) starting from its first month of operation in January:
In which month did Aveko achieve the greatest percentage increase in sales compared to the previous month?
A. February
B. March
C. April
D. May
E. July
General formula for percent increase or decrease, (percent change): \(percent = \frac{Change}{Original} * 100\).
Increase in February: \(\frac{14 - 12}{12} * 100 = \frac{1}{6} * 100\);
Increase in March: \(\frac{16 - 14}{14} * 100 = \frac{1}{7} * 100\);
Increase in April: \(\frac{17 - 16}{16} * 100 = \frac{1}{16} * 100\);
Increase in May: \(\frac{19 - 17}{17} * 100 = \frac{2}{17} * 100\);
Increase in July: \(\frac{23 - 20}{20} * 100 = \frac{3}{20} * 100\).
Since \(\frac{1}{6} * 100\) is the largest number among these five, the greatest percentage increase was in February.
Answer: A
The table below shows the monthly sales of Aveko-company (in millions of dollars) starting from its first month of operation in January:
In which month did Aveko achieve the greatest percentage increase in sales compared to the previous month?
A. February
B. March
C. April
D. May
E. July
General formula for percent increase or decrease, (percent change): \(percent = \frac{Change}{Original} * 100\).
Increase in February: \(\frac{14 - 12}{12} * 100 = \frac{1}{6} * 100\);
Increase in March: \(\frac{16 - 14}{14} * 100 = \frac{1}{7} * 100\);
Increase in April: \(\frac{17 - 16}{16} * 100 = \frac{1}{16} * 100\);
Increase in May: \(\frac{19 - 17}{17} * 100 = \frac{2}{17} * 100\);
Increase in July: \(\frac{23 - 20}{20} * 100 = \frac{3}{20} * 100\).
Since \(\frac{1}{6} * 100\) is the largest number among these five, the greatest percentage increase was in February.
Answer: A
29 Jan 2016, 14:43
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Alternate Approach :
If you quickly glance at the difference month-to-month, it is : 2, 2, 1, 2, 1 and 3.
Concept : When the numerator remains constant, as the denominator increases and fractional value (% change here) decreases. So we can quickly eliminate B, C and D.
Now all we have to do is compare A and E.
A = 2/12, whereas E = 3/20. This gives you the answer as A.
If you quickly glance at the difference month-to-month, it is : 2, 2, 1, 2, 1 and 3.
Concept : When the numerator remains constant, as the denominator increases and fractional value (% change here) decreases. So we can quickly eliminate B, C and D.
Now all we have to do is compare A and E.
A = 2/12, whereas E = 3/20. This gives you the answer as A.
