Find the difference between C.I and S.I if Rs10000 deposited for 2 years at rate of 10%
Answers
Answer:
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Step-by-step explanation:
SI for two years is 2PR/100
Now for findind CI for two years, we proceed as follows,
We know that when sum is compounded anually the amount received at the end of first year as SI becomes Principal for next year. It will be clear when we do the math.
SI of principal P at rate R at end of first year is PR/100 .
So for next year the principal becomes P+PR/100
Interest for second year is (P+PR/100)×R/100
So, Total interest for both years when compounded anually is PR/100+PR2/1002+PR/100
Difference d is equal to PR/100+PR2/1002+PR/100−2PR/100
⟹d=PR2/1002
Putting the given value in above obtained equation we have,
25 = 10000×R²/10000
=> R = 5%
Answer:
₹100
Step-by-step explanation:
P = ₹10000
R = 10%
T = 2 years
For SI,
SI = PRT/100
= (10000 × 10 × 2)/100
= 200000/100
= ₹2000
For CI,
A = P(1 + R/100)^T
= 10000(1 + 10/100)^2
= 10000(1 + 1/10)^2
= 10000(10 + 1/10)^2
= 10000(11/10)^2
= 10000 × 121/100
= 1210000/100
= ₹12100
CI = A - P
= 12100 - 10000
= ₹2100
Therefore, CI - SI = 2100 - 2000
= ₹100