find si on rs 5600 at 6 2/3% per annum for a period of 9 month
Answers
Answer:Rs.280
Step-by-step explanation:
Principal=5600
Rate=6*2/3%=20/3%
Time=9mths.=9/12yr.
Simple interest
=5600×20×9/100×3×12
=280
Given,
Principal amount (P) = Rs. 5600
Rate (R) = 6 2/3% per annum
Time (T) = 9 months
To find,
The simple interest on the given principal amount and rate for 9 months.
Solution,
The simple interest on Rs. 5600 at 6 2/3% per annum for 9-months will be Rs. 280.
We can easily solve this problem by following the given steps.
Now, we know that the formula to find the simple interest is the principal amount (P) × Rate (R) × Time (T)/100.
Simple interest = P×R×T/100
According to the question,
Principal Amount (P) = Rs. 5600
Rate (R) = 6 2/3% per annum
Time (T) = 9 months
Now, we will first convert the rate into a complete fraction.
Rate (R) = 6 2/3%
R = (6×3+2)/3 %
R = 20/3 %
Now, converting the time into years,
T = 9 months
( We know that in a year there are 12 months.)
T = 9/12 year
Now, converting it into the simplest form
T = 3/4 year
Simple interest = P×R×T/100
SI = 5600×20×3/100×3×4
SI = 56×20×3/3×4
SI = 56×20/4
SI = 56×5
SI = Rs. 280
(Note that the total amount after 9 months will be the sum of the principal amount and the simple interest.)
Hence, the simple interest on Rs. 5600 at 6 2/3% per annum for 9-months is Rs. 280.