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# The value of a certain stock rose by 40 percent from March to April

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The value of a certain stock rose by 40 percent from March to April  [#permalink]

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24 Sep 2019, 23:48
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Difficulty:

5% (low)

Question Stats:

90% (00:52) correct 10% (01:07) wrong based on 48 sessions

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The value of a certain stock rose by 40 percent from March to April, and then decreased by 30 percent from April to May. The stock’s value in May was what percent of its value in March?

A. 90%
B. 98%
C. 110%
D. 130%
E. 142%

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Posts: 731
Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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25 Sep 2019, 02:51
Let the value of the Stock be $100 in March, --> In April, increased by 40% --> 140$,
--> In May, decreased by 30%--> 140-140*30%=140-42= $98 in March --$100.
in May--\$98 --> The stock's value in May was 98% of its value in March.

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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27 Sep 2019, 07:48
Bunuel wrote:
The value of a certain stock rose by 40 percent from March to April, and then decreased by 30 percent from April to May. The stock’s value in May was what percent of its value in March?

A. 90%
B. 98%
C. 110%
D. 130%
E. 142%

The stock value in March was n, the value in May was n x 1.4 x 0.7 = 0.98n.

Alternate Solution:

Let the starting value of the stock be 100. After a 40 percent increase, its value in April was 100 x 1.4 = 140. Then, after a 30 percent decrease, the value in May was 140 x 0.7 = 98. Thus, its value in May was 98/100, or 0.98 = 98% of its value in March.

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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27 Sep 2019, 07:50
40%-30%+(40%×-30%)= 40%-30%-12%=98%
OptionB

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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29 Sep 2019, 14:00

Solution

Given
• The value of a certain stock rose by 40 percent from March to April
• Value of stock decreased by 30 percent from April to May

To find
• The stock’s value in May was what percent of its value in March?

Approach and Working out

Let stock’s value in March is x.
Hence, stock’s value in April = 1.4 x(40% increment)
Hence, stock’s value in May = 0.7* (1.4 x)(30% decrement) = 0.98 x

0.98x is 98% of x.
• Hence, stock’s value in May was 98% percent of its value in March.

Thus, option B is the correct answer.

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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29 Sep 2019, 14:03
Method -2

Since percentage change is applied twice on a single quantity, it is a case of the successive percentage change.

• So, total percentage change in the Stock value= 40 -30 + 40*(-30)/100 = 10 -12= -2%
• So, the net change is of -2%.
• Hence, the stock’s value in May is 100-2 = 98% of stocks value in March

Thus, option B is the correct answer.

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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15 May 2020, 17:05
Let's say the initial value is 100

The stock rose by 40%, so 100 x .4 = 40
100 + 40 = 140
The stock then decreased by 30%, so 140 x .3 = 42
140 - 42 = 98

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Re: The value of a certain stock rose by 40 percent from March to April  [#permalink]

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16 May 2020, 08:15
Bunuel wrote:
The value of a certain stock rose by 40 percent from March to April, and then decreased by 30 percent from April to May. The stock’s value in May was what percent of its value in March?

A. 90%
B. 98%
C. 110%
D. 130%
E. 142%

$$+40 - 30 + \frac{(40)(-30)}{100}$$

$$= 10 - 12$$

$$= -2$$

Hence, stock’s value in May was what percent of its value in March is 100 -2 = 98% , Answer must be (B)
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Re: The value of a certain stock rose by 40 percent from March to April   [#permalink] 16 May 2020, 08:15