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  1. The sum for 2 years gives a compound interest of Rs. 3225 at the rate of 15% per annum. The sum is
    1. Rs. 10000
    2. Rs. 20000
    3. Rs. 15000
    4. Rs. 32250
Correct Option: A

Given that , Principal ( P ) = ? , Compound Interest ( CI ) = Rs. 3225 , Rate ( R ) = 15% , Time = 2 years
Using the given formula ,

C.I. = P 1 +
R
T − 1
100

⇒  3225 = P 1 +
15
2 − 1
100

⇒  3225 = P 1 +
3
2 − 1
20

⇒  3225 = P
23
2 − 1
20

⇒ 3225 = P
529
− 1
400

⇒ 3225 = P
529 − 400
400

⇒ 3225 = P ×
129
400

⇒  P =
3225 × 400
= Rs. 10000
129



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