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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
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- ₹ 435
- ₹ 450
- ₹ 430
- ₹ 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 + | T | − 1 | |||||
100 |
246 = P | 1 + | 2 | − 1 | |||||
100 |
⇒ 246 = P | 2 | − 1 | |||||
20 |
⇒ 246 = P | |||
400 |
⇒ 246 = | ⇒ P = | ||
400 | 41 |
∴ P = ₹ 2400
Now , Rate ( R ) = 6% , Time = 3 years
∴ SI = | |
100 |
SI = | = ₹ 432 | |
100 |