Sock eating monsters

As he haven't do the laundry for the January , so 64 x 75%= 48 socks (January )

48 x 75%= 36 socks (February )

36 x 75%= 27 socks (March )

27 will be your answer

January 64X25%=16 .... 64-16=48 End of January February 48X25%=12 ... 48-12=36 End of February March 36X25%=9 ... 36-9=27 socks in the End of March

Here's how I did it.

Let A equal the principal amount of socks, which is 64, and let each successive alphabetic term after A (B, C, etc.) represent the amount of socks at the end of each month. Since we start off at the beginning of January and finish at the end of march, we have to go through the amounts at the end of January, February and March. Here's the math.

• A = 64
• B = A - $\frac{A}{4}$ = 48
• C = B - $\frac{B}{4}$ = 36
• D = C - $\frac{C}{4}$ = 27

Since D is the 4th term (3rd after the end of the first month), D represents the value of socks at the end of March.

After Jan= 64 3/4=16 3 After Feb= 16 3 3/4=4 9 Answer= 4 9*3/4= 27

Since in the month of January he has 64 socks and 25% of these socks are lost so it becomes 48 for the month of January. 25% are lost again for the month of February so it becomes 36 and finally for the month of March it turned out to be only 27 since 25% of 36 is 9 and 36-9 is 27.

25%= $\frac{1}{4}$

64- $\frac{64}{4}$ =48

48- $\frac{48}{4}$ =36

36- $\frac{36}{4}$ =27

QED

at first he'll have 64 socks so he'll lose 25% from 64. So, (64 25)/100 will be 48. so, at the end of January he'll have 48 socks. At the end of February (48 25)/100=36. So, at the end of march he'll have (36*25)/100=27 socks.

WE will find 75 % of 64 is 48. then 75% oof 48 is 36 then 75% of 36 is 27

x(1+p)^n=64(1-0.25)^3=27