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  1. The compound interest on a certain sum of money invested for 2 years at 5% per annum is ₹ 328. The simple interest on the sum, at the same rate and for the same period will be
    1. ₹ 320
    2. ₹ 308
    3. ₹ 300
    4. ₹ 287
Correct Option: A

Given that , Compound Interest ( CI ) = ₹ 328 , Rate ( R ) = 5% , Time = 2 years
Let the principal be P.

∴  C.I. = P 1 +
R
T − 1
100

⇒  328 = P 1 +
5
2 − 1
100

⇒  328 = P
441
− 1
400

⇒  328 = P
441 − 400
400

⇒ P =
328 × 400
= ₹ 3200
41

∴ S.I. =
PRT
=
3200 × 5 × 2
= ₹ 320
100100

Second Method to solve this question :
Here, C.I. = ₹ 328 , R = 5% , S.I. = ?
C.I.= S.I.1 +
R
200

328 = S.I.1 +
5
200

328 = S.I.1 +
1
40

S.I. =
328 × 40
41

S.I. = 8 x 40 = ₹ 320



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