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# Certain stocks in January were 10% less than they were in February and

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Math Expert
Joined: 02 Sep 2009
Posts: 52232
Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 02:16
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Difficulty:

25% (medium)

Question Stats:

83% (02:02) correct 17% (02:33) wrong based on 154 sessions

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Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

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Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 02:54
1
1
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

Let J,F,M be the values of the stock in Jan,Feb and March.

Thus, per the question, J = 0.9F = 1.2M ----> M =0.75F

Thus the % decrease from F to M = (F-M)/(F) *100 = (F-0.75F)/F * 100 = 0.25*100 = 25 %, D is the correct answer.
Manager
Joined: 03 Sep 2014
Posts: 74
Concentration: Marketing, Healthcare
Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 05:19
3
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

Let stocks value in Feb = 100 => In Jan = 90 and March = 90 * 100/120 = 75

Thus, percent decrease in stocks from Feb to March = 100 - 75 = 25%

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Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 05:29
1
2
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

Such Questions are pretty easy when we start the question with an Easy base Value assumed

Let, Stock in February = 100
Then, Stock in January = 100-(10/100)*100 = 90

January = 20% greater than March = 1.2* Stock in March
i.e. Stock in March = 90 / 1.2 = 75

% Decrease from February to March = (75 - 100)*100/100 = 25%

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Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 06:37
March (?) ---> February (x) ---> January (0.9x)

March: 0.9x = 1.2(march) => march = 0.9x/1.2 = 0.75x = 75% (x)

So, percentage decrease in the stocks from February to March = 100-75 = 25%. Ans (D).
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Director
Joined: 21 May 2013
Posts: 660
Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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23 Jul 2015, 09:04
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

Let price of stock in March=100
Price in Jan=120
Now, Price in Feb*90/100=120(given)
Price in Feb=133.33
% Decrease=(133.33-100/133.33)=.25=25%
Manager
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GMAT 1: 710 Q50 V34
Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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24 Jul 2015, 12:05
1
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

Option D: 25%

Let us consider Feb = 100 stocks
Thus jan will have 10% less = 90 stocks
Also given Jan will have 20% more than that of March => Jan = 1.2 March
90 = 1.2 March
March = 75

Thus Feb = 100 March = 75
% decrease is 25%
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Joined: 02 Sep 2009
Posts: 52232
Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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26 Jul 2015, 11:31
Bunuel wrote:
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?

A. 5%
B. 10%
C. 20%
D. 25%
E. 50%

Kudos for a correct solution.

800score Official Solution:

Let us denote the amount of the stocks by x and y in February and in March respectively. In January the stocks were 0.9x on the one hand and 1.2y on the other. Therefore we can write the equality:
0.9x = 1.2y
y/x = 0.9/1.2 = 3/4 = 0.75
Therefore the percentage decrease was 100% – 75% = 25%.

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Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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13 May 2016, 03:20
consider the stocks for March as 100
as stocks for January are 20% greater than for March
Stocks for January = 1.2 *100 = 120
stocks for February are 10% less than that for march
stocks for February = $$\frac{120}{0.9}$$ = 133.33

percentage decrease for stocks from February to March = $$\frac{(133.33 - 100)}{133.33}$$ = 25 %
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Posts: 1608
Location: United States
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GPA: 3.64
Re: Certain stocks in January were 10% less than they were in February and  [#permalink]

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13 Jan 2018, 13:34
1
convert words to math formula. That is to say,
J = 0.9 F
J = 1.2 M
Re: Certain stocks in January were 10% less than they were in February and &nbs [#permalink] 13 Jan 2018, 13:34
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