What is the principle amount of
money when the simple interest is Rs.
300. the rate is 5% and the time is 2
years?
Answers
Answer:
Rate : 5%
Time : 2 years
interest : ₹300
prinsipal : 100× interest
time × rate
= 100× 300
5 × 2
= 30000
10
= ₹ 3000
amount = principal + interest
= 3000+ 300 = ₹ 3300
Answer:
The principal = Rs. 3000
The amount = Rs. 3300
Step-by-step explanation:
Given:
- Simple interest ( S.I. ) = Rs. 300
- Rate ( R ) = 5%
- Time ( T ) = 2 years.
To find:
- The principal ( P ).
Solution:
As we are provided with the simple interest, so here we will use simply use the formula of simple interest to find the principal. Putting the values in the formula and then doing the required calculations we can easily find out the principal.
We know simple interest is calculated on the original principal and if the sum amount and rate of interest is same, then the interest of every year is same.
Let's find out...
- S.I = (P × R × T)/100
- 300 = (P × 5 × 2)/100
- 300 × 100 = P × 5 × 2
- 30000 = P × 5 × 2
- 30000 = P × 10
- P = 30000/10
- P = Rs. 3000
∴ The required principal ( P ) = Rs. 3000
Now, let's find amount.
- A = P + S.I.
- A = Rs. ( 3000 + 300 )
- A = Rs. 3300
∴ The required amount ( A ) = Rs. 3300
Verification:
- S.I = (P × R × T)/100
- S.I. = (3000 × 5 × 2)/100
- S.I. = (3000 × 10)/100
- S.I. = 3000/10
- S.I. = 300
Hence Verified!!
____________________________