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Swati Took a Loan of Rs 16000 Against Her Insurance Policy at the Rate of 12 1 2 per Annum. Calculate the Total Compound Interest Payable by Swati After 3 Years. - Mathematics

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Question

Swati took a loan of Rs 16000 against her insurance policy at the rate of \[12\frac{1}{2} %\] per annum. Calculate the total compound interest payable by Swati after 3 years.

Numerical

Solution

Given: 
P = Rs 16, 000
R = 12 . 5 % p . a . 
n = 3 years
We know that: 
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[ = 16, 000 \left( 1 + \frac{12 . 5}{100} \right)^3 \]
\[ = 16, 000 \left( 1 . 125 \right)^3 \]
 = Rs 22, 781 . 25
Now, 
CI = A - P
= Rs 22, 781 . 25 - Rs 16, 000
= Rs 6, 781 . 25

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Chapter 14: Compound Interest - Exercise 14.1 [Page 5]

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RD Sharma Mathematics [English] Class 8
Chapter 14 Compound Interest
Exercise 14.1 | Q 6 | Page 5

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