Problem Solving

An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if r = 100 {√ [(v + q)/p]} - 1?
(A) Wednesday of the same week
(B) Thursday of the same week
(C) Friday of the same week
(D) Monday of the next week'
(E) Tuesday of the next week

Monday's price --> p

n days' flotation --> p*(1+r/100)^n
last day's decrease --> -q
______ ? weekday___ Final prices --> p*(1+r/100)^n - q = v; r= 100 {√ [(v + q)]/p} - 1; find n-?

(p+(v+q)-p)^n - q = v, (v+q)^n/2 = v+q, n/2=1, n=2

@sanju, I figured answer Opps two days passed since Monday + the last day of sales (when price went down - q) makes three days, therefore answer B

BUT the problem's stem had to be modified by me as r= 100 {√ [(v + q)]/p}, otherwise I get √p*{(v+q)^(n/2-1)}=1

sanju09 wrote:An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if r = 100 {√ [(v + q)/p]} - 1?
(A) Wednesday of the same week
(B) Thursday of the same week
(C) Friday of the same week
(D) Monday of the next week'
(E) Tuesday of the next week

sanju09 wrote:An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if r = 100 {√ [(v + q)/p]} - 1?
(A) Wednesday of the same week
(B) Thursday of the same week
(C) Friday of the same week
(D) Monday of the next week'
(E) Tuesday of the next week

IMO B

v+q = (1+r/100)^n*p;

Subsituting this in a equation we get;

r= 100(1+r/100)^n/2 - 1;

for n=2; we will not get any solution;
for n=4; we will have r=1;
Therefore answer should be B

Anyways good question...sanju..!!