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)) " commonP/2 = P * (1+m/100) [1 - n/100]
"P" gets cancelled from both sides1/2 = (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. \( \frac{100(50 - m)}{m - 100}\)