Gmat860sanskar
Please explain any easy method to solve this problem. Thanks
I believe it's best to remember this formula:
A=P(1+r/n)^(nt). Then you can apply it to all other problems related to exponential growth without thinking much.
- [color=#000000][b][color=#000000][size=100]P : principal (initial amount)[/size][/color][/color][/b]
- [color=#000000][b][color=#000000][size=100]r : annual interest rate (decimal)[/size][/color][/color][/b]
- [color=#000000][b][color=#000000][size=100]n : the frequency of compounds per year [/size][/color][/color][/b]
- t : total length of time the money stays in the account (in years)
Total amount received in the first month: 3000(1+r/12)^
(12*1/12)=3090 -> r=0.36
Total amount received in the second month: 3000(1+0.36/12)^
(12*2/12)=3182.7
Total interest earned in two months: 3182.7-3000=182.7
Interest earned in 2nd month: 182.7-90=92.7
-> 92.7/182.7=103/205
Btw do you have any tips to simplify such type of functions quickly? Please share~~