Suppose you want to raise a loan of Rs. 2,00,000
on compound interest being compounded annually for
getting admission to a course after 12th.
Study offers by any 5 banks and choose the best one by
actually calculating interest for two years
Legends answer this
Answers
Answer:
The compound interest calculator works on the mathematical formula:
A = P (1+r/n)^nt
P = Principal Amount
n = Compounding frequency
r = Rate of interest
t = Number of time periods elapsed
A = Final amount
For example, you have deposited Rs 10,000 in an FD at an interest rate of 6% for five years. You have the frequency of compounding as a quarterly (n=4).
A = 10,000 (1+0.06/4)^4*5
A = Rs 13,468.
Interest = A – P = 13,468 – 10,000 = Rs 3,468.
Step-by-step explanation:
Suppose you want to raise a loan of Rs. 2,00,000 on compound interest being compounded annually for getting admission to a course after 12th. Study offers by any 5 banks and choose the best one by actually calculating interest for two years if x is rounded off to 5dp, is 5.45497, then in what interval will x lie answer in steps fast don't spam plssss
Solution :-
Let ,
→ State bank of India is giving loan at = 5% per annum compounded annually .
→ Punjab national bank is giving loan at = 10% per annum compounded annually .
→ Axis bank is giving loan at = 4% per annum compounded annually .
→ HDFC is giving loan at = 8% per annum compounded annually .
→ Canara bank is giving loan at = 6% per annum compounded annually .
we know that, when rate is compounded annually ,
- A = P[1 + (R/100)]ᵀ
- CI = A - P
Where,
- A = Amount .
- P = Principal .
- R = Rate of interest per annum .
- T = Time .
- CI = Compound interest .
1) State Bank of india :-
→ A = 200000[1 + (5/100)]²
→ A = 200000[1 + (1/20)]²
→ A = 200000 * (21/20)²
→ A = 200000 * (441/400)
→ A = Rs.220500
then,
→ CI = A - P = 220500 - 200000 = Rs.20500 .
2) Punjab national bank :-
→ A = 200000[1 + (10/100)]²
→ A = 200000[1 + (1/10)]²
→ A = 200000 * (11/10)²
→ A = 200000 * (121/100)
→ A = Rs.242000
then,
→ CI = A - P = 242000 - 200000 = Rs.42000 .
3) Axis bank :-
→ A = 200000[1 + (4/100)]²
→ A = 200000[1 + (1/25)]²
→ A = 200000 * (26/25)²
→ A = 200000 * (676/625)
→ A = Rs.216320
then,
→ CI = A - P = 216320 - 200000 = Rs.16320.
4) HDFC :-
→ A = 200000[1 + (8100)]²
→ A = 200000[1 + (2/25)]²
→ A = 200000 * (27/25)²
→ A = 200000 * (729/625)
→ A = Rs.233280
then,
→ CI = A - P = 233280 - 200000 = Rs.33280 .
5) Canara Bank :-
→ A = 200000[1 + (6/100)]²
→ A = 200000[1 + (3/50)]²
→ A = 200000 * (53/50)²
→ A = 200000 * (2809/2500)
→ A = Rs.224720
then,
→ CI = A - P = 224720 - 200000 = Rs.24720 .
as we can see that, Interest paid to Axis Bank is minimum . Therefore, We should take loan from Axis Bank .
Or, we can conclude that, we should choose bank which is giving loan at lowest interest rate . (since at lowest interest rate ,interest to paid will me minimum . )
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