. In what time will * 400 amount to 448 at the rate of 4% per annum.
Answers
Answer:
Complete step-by-step answer:
First, we have Principal Amount = P = Rs. 400
Final Amount = A = Rs. 448
Rate of Interest = R = 4%
We will use the formula of Simple Interest that is S.I. = P×R×T/100
, where
S.I. = Simple Interest, P = Principal Amount, R = Rate on Interest, T = Time taken in years
Now, we will put in the values of P and R in the formula for S.I.
So, S.I. = 400×4×T/100
Now simplify the value by eliminating 100 from the denominator. We get:-
S.I. = 4×4×T=16T
We will now use the formula for Final amount which states that:-
Final amount = Principal amount + Interest that is A = P + S.I.
We will now put the values of P, S.I. and A.
So, 448= 400+ 16T
This is equivalent to writing:- 16T + 400 = 448
Now, we will take 400 to R.H.S
16T = 448 - 400 = 48
We will now take 16 from 16T to R.H.S
So, we get T=4816=3
3 is the answer to this question