Find the amount and the compound interest on the following
(a) Principal - rs1200, Rate = 5/2% p.a. and Time = 3 years
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Answer :
- Amount = Rs. 1200
- Compound interest = Rs. 92.26875
S O L U T I O N :
Given,
- Principal (P) = Rs. 1200
- Rate of interest (R) = 5/2 % ⇒ 2.5 %
- Time (t) = 3 years
To Find,
- Amount and compound interest.
Explanation,
Case (I), Amount,
We know that,
A = P(1 + R/100)^t
[ Put the values ]
⇒ A = 1200(1 + 2.5/100)³
⇒ A = 1200(1 + 0.025)³
⇒ A = 1200(1.025)³
⇒ A = 1200 × 1.076890625
⇒ A = Rs. 1292.26875
Case (II), Compound interest,
We know that,
Compound interest = Amount - Principal
⇒ CI = 1292.26875 - 1200
⇒ CI = Rs. 92.26875
Therefore,
The amount and compound interest is Rs. 1200 and Rs. 92.26875 respectively.
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