What sum will become Rs. 1416 at 9 1/2 % per annum after 5 years.
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Answered by
20
Solution:-
You haven't mentioned that whether the charged interest is simple or compound. I have solved it considering as simple and compound both.
As simple Interest :
Let 'P' be the principal.
Then, Simple Interest will Rs. (1416 - P)
Simple Interest = (P*R*T)/100
1416 - P = (P*9.5*5)/100
141600 - 100P = 47.5P
141600 = 47.5P + 100P
147.5P = 141600
P = 141600/147.5
Principal = Rs. 960
As Compound Interest :
A = P(1 + R/100)ⁿ
1416 = P(1 + 9.5/100)⁵
(1416/P) = (109.5/100) × (109.5/100) × (109.5/100) × (109.5/100) × (109.5/100)
Principal = Rs. 900
Answer.
You haven't mentioned that whether the charged interest is simple or compound. I have solved it considering as simple and compound both.
As simple Interest :
Let 'P' be the principal.
Then, Simple Interest will Rs. (1416 - P)
Simple Interest = (P*R*T)/100
1416 - P = (P*9.5*5)/100
141600 - 100P = 47.5P
141600 = 47.5P + 100P
147.5P = 141600
P = 141600/147.5
Principal = Rs. 960
As Compound Interest :
A = P(1 + R/100)ⁿ
1416 = P(1 + 9.5/100)⁵
(1416/P) = (109.5/100) × (109.5/100) × (109.5/100) × (109.5/100) × (109.5/100)
Principal = Rs. 900
Answer.
Answered by
6
Answer:
Answer is 960
Step-by-step explanation:
Principal- assume x
R- 9 1/2= 19/2= 9.5
R- 9 1/2= 19/2= 9.5 T- 5 years
R- 9 1/2= 19/2= 9.5 T- 5 yearsI- Rs. 1416
R- 9 1/2= 19/2= 9.5 T- 5 yearsI- Rs. 1416
SI- P×R×T/100
R- 9 1/2= 19/2= 9.5 T- 5 years
I- Rs. 1416
SI- P×R×T/100
SI- x×19×5/100×2
To find x or principal
x= Interest ×100/Rate×Time
x=1416×100/9.5×5
x=141600/47.5+100
x=141600/147.5
x=960
Hence, the principal is 960
Hope my answer will help you
Regards
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