Question

Find the amount and the compound interest on rupees 32500 for 1 year at 12% per annum compound half yearly

Answer 1

Answer:

Interest is Rs 1,950 and amount is Rs 34,450.

Step-by-step explanation:

It is given that the interest is being compounded half yearly.

Since the rate of interest is 12% per annum, therefore, the rate of interest half yearly = 1 / 2 of 12% = 6 %.

Here,

Principal ( P ) = Rs 32,500

Time = 1 year

From the properties of compound interest :

• Interest = P x R x T / 100
• Amount = Principal + Interest

= > Interest = ( Rs 32,500 x 6 x 1 ) / 100

= > Interest = Rs 325 x 6

= > Interest = Rs 1,950

Therefore,

= > Amount = Rs 32,500 + Rs 1,950

= > Amount = Rs 34,450

Hence, interest is Rs 1,950 and amount is Rs 34,450 .

Answer 2

$\Large{\underline{\underline{\mathfrak{Solution :-}}}}$

Given :

Principal = Rs. 32500

Time = 1 year

To Find :

Simple Interest and Amount

Formula to Use :

$\bigstar \: \sf Simple \: Interest = \dfrac{P \times R \times T}{100} \\ \bigstar \: \sf Amount = Principal - Interest$

Explanation :

Since,

Rate = 12 % per annum

Therefore,

Rate (half yearly) = $\dfrac{1}{2}$ of 12 % = 6 %

According to the Question,

$\sf Simple \: Interest = \dfrac{P \times R \times T}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{32500 \times 6 \times 1}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = Rs. \: 1950 \\ \\ \sf Amount = Principal - Interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = Rs. \: 32500 - 1950 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = Rs. \: 30550$