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  1. At what rate percent per annum will a sum of ₹ 1,000 amounts to ₹ 1,102.50 in 2 years at compound interest ?
    1. 5%
    2. 5.5%
    3. 6%
    4. 6.5%
Correct Option: A

Here , P = ₹ 1,100 , A = ₹ 1,102.50 , T = 2 years
Let rate be 'r '
Using the given formula ,

A = P 1 +
R
T
100

⇒ 
1102.50
= 1 +
r
2
1000100

⇒ 
11025
= 1 +
r
2
10000100

⇒ 
105
2 = 1 +
r
2
100100

⇒  1 +
r
=
105
100100

⇒ 
r
=
5
100100

⇒  r = 5%



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