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Let the amount with Elena on Monday be x

On Tuesday, the amount become x(1+m/100)
On Wednesday, the amount becomes x(1+m/100)(1-n/100)

Given, x(1+m/100)(1-n/100) = x*(50/100)

[(100+m)/100][(100-n)/100] = 50/100

(100+m)(100-n) = 50

Solve to get: n = 100*(50+m)/(100+m)

Option A
Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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Assume the amount on Monday was x
So Tuesday becomes = x(1+m/100)
Wednesday = x(1+m/100)(1-n/100) = 0.5x .Cancel out x on both sides
Solve for n first isolate n = 1-n/100= 0.5/(1+m/100) = 50/(100+m)
n/100= 1- 0.5/(1+m/100) = (50+m)/(100+m). Multiply both sides by 100
n= 100(50+m)/100+m
ANS A
Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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increasing by m percent is the same as multiplying by (1+m/100)
withdrawing n percent is the same as multiplying by (1-n/100)

(1+m/100)(1-n/100) = 1/2
1-n/100 = (1/2)/(1+m/100) = (1/2)/((100+m)/100) = (100/2)/(100+m) = 50/(100+m)
n = 100 * (1-50/(100+m)) = 100 * (100+m-50)/(100+m) = 100 * (m+50)/(m+100)

Correct answer is A
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Let money in bank on Monday = P
Let money in bank on Tuesday = P * (1+(m/100))
Let money in bank on Wednesday = P * (1+(m/100)) - n/100 (P * (1+(m/100))

As per question :-
P/2 = P * (1+(m/100)) - n/100 (P * (1+(m/100))

Taking " P * (1+(m/100)) " common

P/2 = P * (1+m/100) [1 - n/100]

"P" gets cancelled from both sides

1/2 = (1+m/100) [1 - n/100]
1/2 = [(100 + m)/ 100] * [(100 - n)/100]

Cross multiplying and isolating "n" on one side

[10000\ (200 +2m)] - 100 = -n
100 - [10000/ (200 + 2m)] = n
100 - [5000/ (100 + m)] = n
10000 + 100m - 5000 / (100 + m) = n
5000 + 100m / (100 + m) = n
100 (50 + m)/ (100 +m) = n ---Option (A)

Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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Let Elena initial amount = x
On Tuesday amount = x*(1+m/100)
On Wednesday amount after withdrawing = x*(1+m/100)(1-n/100)

We also know that it is equal to half of monday's amount
=> x*(1+m/100)(1-n/100) = 0.5x
=> (1+m/100)(1-n/100) = 0.5
=>A. n = 100*(50+m)/100+m
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Say the amount on Monday is 'a'
On Tuesday, it becomes a(1 + m/100) [As in, a + m% of a]
On Wednesday, it becomes a(1 + m/100)(1 - n/100)
Now this a(1 + m/100)(1 - n/100) = 50% of a
On simplifying this equation and moving m terms to one side, we get
n = (50+m)*100 / (100+m)
Option A.
Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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Let elena's money on monday = x
Elena's money on Wednesday = x(1+m/100)(1-n/100)=x(0.50)
1-n/100 = \(\frac{50}{m + 100}\)
n/100 = \(\frac{50+m}{m + 100}\)
n = \(\frac{100(m + 50)}{m + 100}\)

Option A
Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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Monday: x
Tuesday: x(1+m/100)
Wednesday x(1+m/100)(1-n/100)

Let x be 100.
100(1 + m/100)(1-n/100)=50
Upon simplifying:
n=100*(m+50)/(m+100)

Answer is A.
Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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As options are also in variable we can assume amount on Monday to be 100
So the amount on Tuesday will be = 100 + m
And by withdrew n% of Tuesday’s balance is 50 which is 50% of 100:

(100 + m) - n/100(100 + m) = 50
100 -50 + m = n/100(100 + m)
100(50 + m) = n(100 + m)
n = 100(50 + m)/(100 + m)
Hence option A
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Bunuel
On Monday, Elena had a certain amount of money in her savings account. On Tuesday, she increased that amount by m percent. On Wednesday, she withdrew n percent of her Tuesday's closing balance, leaving her with exactly 50 percent of what she had on Monday. What is the value of n in terms of m?

A. \(\frac{100(m + 50)}{m + 100}\)

B. \( \frac{100(m - 50)}{m + 100}\)

C. \( \frac{100(m + 50)}{100 - m}\)

D. \( \frac{100m}{m + 100}\)

E. \( \frac{100(50 - m)}{m - 100}\)


 


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Monday = x
Tuesday = x+mx/100
Wednesday = (x+mx/100) - n/100( x+mx/100)

Wednesday = 50% of Monday
=>
(x+mx/100) - n/100( x+mx/100) = 50x/100

Solving this we get:
n=100(m+50)/100+m

ANSWER: A
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Let Monday’s amount = 100
Tuesday: 100 + m
Wednesday (after withdrawing n%) =

100 + m - n% (100+m)
Given: Wednesday's amount = 50% * 100 = 50

Now, let's solve:


\(100 + m - n% (100+m) = 50\)
\( [100 (50+m)][/m+100] = n \)

So, the correct answer option is A.
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