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Bunuel
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%

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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%

Answer: Option D
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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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Bunuel
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%
Answer D
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Bunuel
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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Bunuel
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%.

The correct answer is D.
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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 %
correct answer - D
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convert words to math formula. That is to say,
J = 0.9 F
J = 1.2 M
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