Question

compute the amount for rs 65536 invested for 1\2 years at 121\2 p.a. the interest being compounded semi-annually​

Answer 1

21,323.8784

The following explanation is given in the picture below

Answer 2

If the sum of Rs. 65536 is invested for ½  years at 12 ½ % p.a. and the interest is compounded semi-annually, then the amount is Rs. 69632.

Step-by-step explanation:

The required formula for the interest being compounded semi-annually :

• Amount, A = P [1 + $\frac{\frac{R}{2}}{100}$]²ⁿ

Sum of money invested, P = Rs. 65536

Since the interest is compounded semi-annually,

Time period, 2n = 2 * ½ = 1 years  

The rate of interest, R/2 = $\frac{12\frac{1}{2} }{2} = \frac{25}{4}$% p.a.

Now, substituting the given values in the required formula above, we get

A = 65536 × [1 + $\frac{\frac{25}{4}}{100}$]¹

⇒ A = 65536 × [1 + $\frac{25}{400}$]

⇒ A = 65536 × $\frac{425}{400}$

⇒ A = 65536 × 1.0625

⇒ A = Rs. 69632

Thus, the amount so received will be Rs. 69632.

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