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  1. If the compound interest on a certain sum for two years at 12% per annum is ₹ 2,544, the simple interest on it at the same rate for 2 years will be
    1. ₹ 2,400
    2. ₹ 2,500
    3. ₹ 2,480
    4. ₹ 2,440
Correct Option: A

Given that , Compound Interest ( CI ) = ₹ 2,544 , Rate ( R ) = 12% , Time = 2 years
Using the given formula ,

C.I. = P 1 +
R
T − 1
100

⇒  2544 = P 1 +
12
2 − 1
100

⇒  2544 = P
28
2 − 1
25

⇒  2544 = P
784
− 1
625

⇒  2544 = P
784 − 625
625

2544 =
P × 159
625

⇒  P =
2544 × 625
= ₹ 10000
159

∴  S.I. =
P × R × T
100

S.I. =
10000 × 2 × 12
= ₹ 2400
100

Second Method to solve this question :
Here, C.I. = Rs. 2544 , R = 12% , S.I. = ?
C.I.= S.I.1 +
R
200

2544 = S.I.1 +
12
200

2544 = S.I.
212
200

S.I. =
2544 × 200
= ₹ 2400
212



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