Given:
Principal = $10
Rate of simple interest = 2.2% per month
Number of years = 6
To find:
The value of interest.
Solution:
Formula for simple interest is:
[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex] ...(i)
Where, P is principal, r is rate of interest in % and t is the time period.
Here the rate of interest is defined for per month. So, the time period is also the number of months.
[tex]t=12\times 6[/tex] [ 1 year = 12 months ]
[tex]t=72[/tex]
Putting P=10, r=2.2 and t=72 in (i), we get
[tex]S.I.=\dfrac{10\times 2.2\times 72}{100}[/tex]
[tex]S.I.=\dfrac{1584}{100}[/tex]
[tex]S.I.=15.84[/tex]
The simple interest is $15.84.
Therefore, the correct option is B.