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  1. The compound interest on a certain sum of money at 5% per annum for 2 years is ₹ 246. The simple interest on the same sum for 3 years at 6% per annum is
    1. ₹ 435
    2. ₹ 450
    3. ₹ 430
    4. ₹ 432
Correct Option: D

Let principal be P.
Given that , Compound Interest ( CI ) = ₹ 246 , Rate ( R ) = 5% , Time = 2 years
Using the given formula ,

C.I. = P 1 +
R
T − 1
100

246 = P 1 +
5
2 − 1
100

⇒ 246 = P
21
2 − 1
20

⇒  246 = P
441 − 400
400

⇒  246 =
41P
⇒  P =
246 × 400
40041

∴ P = ₹ 2400
Now , Rate ( R ) = 6% , Time = 3 years
∴  SI =
Principal × Time × Rate
100

SI =
2400 × 3 × 6
= ₹ 432
100



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