In what time will Rs.1,800 yield simple interest of Rs.390 at the rate of 5% per annum?
Same procedure as your previous post.
To find the time required to yield a simple interest of Rs. 390 at an annual interest rate of 5% on an amount of Rs. 1800, we will use the formula for simple interest:
Simple Interest = (Principal * Rate * Time) / 100
Given, Principal (P) = Rs. 1800
Simple Interest (S.I.) = Rs. 390
Rate (R) = 5%
Plugging in the values in the formula, we get:
390 = (1800 * 5 * Time) / 100
Simplifying further:
390 = (18000 * Time) / 100
390 = 180Time / 100
390 * 100 = 180Time
39000 = 180Time
To find the value of Time, divide both sides of the equation by 180:
39000 / 180 = Time
Time = 216.67
Therefore, it will take approximately 216.67 years for an amount of Rs. 1800 to yield a simple interest of Rs. 390 at an annual interest rate of 5%.
To find the time it takes for an amount of money to yield a certain amount of interest under simple interest, you can use the formula:
Simple Interest = (Principal * Rate * Time) / 100
In this case, the principal is Rs.1,800, the rate is 5% per annum, and the simple interest is Rs.390.
Let's rearrange the formula to solve for Time:
Time = (Simple Interest * 100) / (Principal * Rate)
Substituting the given values:
Time = (390 * 100) / (1800 * 5)
Solving this equation:
Time = 78,000 / 9,000
Time = 8.67
Therefore, it will take approximately 8.67 years for Rs.1,800 to yield a simple interest of Rs.390 at a rate of 5% per annum.
Formula:-
(SI=PRT/100)
>SI-390
>P-1800
>R-5/365
390=1800*5*T/100*360(>>leave 5 days and add with the final result, its helps in easy calculation).
T=1560(and add 5 days with this result)
T=1560+5=1565.
T=1565 days,
x=4years=1460 days,
T-x=1565-1460=105 days,
105 days= 3months 5 days.
Result.:4 years 3 months & 5 days.
Final Ans-> 4 years & 3 months approx.