First, let's identify the capital amounts on which we need to calculate the interest:
X's capital: [tex]\(\$210,000\)[/tex]
Y's capital: [tex]\(\$160,000\)[/tex]
Z's capital: [tex]\(\$110,000\)[/tex]
The interest rate given is 5% per annum.
We will calculate the interest on each individual's capital separately, and then find the total interest.
### Step 1: Calculate Interest for X
The capital amount for X is [tex]\(\$210,000\)[/tex]. The interest rate is 5%.
Interest for X = Capital amount × Interest rate
[tex]\[
\text{Interest for X} = 210,000 \times 0.05 = 10,500
\][/tex]
So, the interest on X's capital is [tex]\(\$10,500\)[/tex].
### Step 2: Calculate Interest for Y
The capital amount for Y is [tex]\(\$160,000\)[/tex]. The interest rate is 5%.
Interest for Y = Capital amount × Interest rate
[tex]\[
\text{Interest for Y} = 160,000 \times 0.05 = 8,000
\][/tex]
So, the interest on Y's capital is [tex]\(\$8,000\)[/tex].
### Step 3: Calculate Interest for Z
The capital amount for Z is [tex]\(\$110,000\)[/tex]. The interest rate is 5%.
Interest for Z = Capital amount × Interest rate
[tex]\[
\text{Interest for Z} = 110,000 \times 0.05 = 5,500
\][/tex]
So, the interest on Z's capital is [tex]\(\$5,500\)[/tex].
### Step 4: Calculate Total Interest
The total interest is the sum of the interests calculated for X, Y, and Z.
[tex]\[
\text{Total Interest} = \text{Interest for X} + \text{Interest for Y} + \text{Interest for Z}
\][/tex]
[tex]\[
\text{Total Interest} = 10,500 + 8,000 + 5,500 = 24,000
\][/tex]
Thus, the interest on capital for the year ended 31.03.2015 is as follows:
- X's interest: [tex]\(\$10,500\)[/tex]
- Y's interest: [tex]\(\$8,000\)[/tex]
- Z's interest: [tex]\(\$5,500\)[/tex]
- Total interest: [tex]\(\$24,000\)[/tex]
