Answer :
Let's break down the problem step by step and calculate the required values.
1. January Calculations:
- Total Receipts [tex]\([A]\)[/tex]:
[tex]\[ \text{Total Receipts} = \text{Cash Receipts} + \text{Salary} + \text{Interest Income} \][/tex]
Given:
[tex]\[ \text{Cash Receipts} = 30000, \quad \text{Salary} = 1400, \quad \text{Interest Income} = 31400 \][/tex]
So,
[tex]\[ \text{Total Receipts} = 30000 + 1400 + 31400 = 62800 \][/tex]
- Total Payments [tex]\([B]\)[/tex]:
[tex]\[ \text{Total Payments} = \text{Household Expenses} + \text{School Fees} + \text{Lease Payment for Car} + \text{Medical Aid} + \text{Pension Fund} + \text{Insurance} + \text{Bond Repayment} \][/tex]
Given:
[tex]\[ \text{Household Expenses} = 3450, \quad \text{School Fees} = 1300, \quad \text{Lease Payment for Car} = 2000, \quad \text{Medical Aid} = 3300, \quad \text{Pension Fund} = 5600, \quad \text{Insurance} = 26550, \quad \text{Bond Repayment} = 4850 \][/tex]
So,
[tex]\[ \text{Total Payments} = 3450 + 1300 + 2000 + 3300 + 5600 + 26550 + 4850 = 47050 \][/tex]
- Balance for January:
[tex]\[ \text{Balance in January} = \text{Total Receipts} - \text{Total Payments} \][/tex]
[tex]\[ \text{Balance in January} = 62800 - 47050 = 15750 \][/tex]
2. February Calculations:
- Income and Rent:
Given:
[tex]\[ \text{Income in February} = 20000, \quad \text{Rent Premises} = 6000 \][/tex]
- Balance for February:
[tex]\[ \text{Balance in February} = \text{Income in February} - \text{Rent Premises} \][/tex]
[tex]\[ \text{Balance in February} = 20000 - 6000 = 14000 \][/tex]
3. March Calculations:
- Income, Lump Sum, and Major Expenses:
Given:
[tex]\[ \text{Income in March} = 30000, \quad \text{Lump Sum Benefit} = 350000, \quad \text{Bond Settlement} = 300000, \quad \text{Equipment Payment} = 30000, \quad \text{Rent Premises} = 6000 \][/tex]
- Balance for March:
[tex]\[ \text{Balance in March} = \text{Income in March} + \text{Lump Sum Benefit} - \text{Rent Premises} - \text{Bond Settlement} - \text{Equipment Payment} \][/tex]
[tex]\[ \text{Balance in March} = 30000 + 350000 - 6000 - 300000 - 30000 = 44000 \][/tex]
4. April Calculations:
- Income and Expenses:
Given:
[tex]\[ \text{Income in April} = 40000, \quad \text{Rent Premises} = 6000, \quad \text{Equipment Payment} = 2000 \][/tex]
- Balance for April:
[tex]\[ \text{Balance in April} = \text{Income in April} - \text{Rent Premises} - \text{Equipment Payment} \][/tex]
[tex]\[ \text{Balance in April} = 40000 - 6000 - 2000 = 32000 \][/tex]
To summarize:
- Total Receipts in January: 62800
- Total Payments in January: 47050
- Balance in January: 15750
- Balance in February: 14000
- Balance in March: 44000
- Balance in April: 32000
1. January Calculations:
- Total Receipts [tex]\([A]\)[/tex]:
[tex]\[ \text{Total Receipts} = \text{Cash Receipts} + \text{Salary} + \text{Interest Income} \][/tex]
Given:
[tex]\[ \text{Cash Receipts} = 30000, \quad \text{Salary} = 1400, \quad \text{Interest Income} = 31400 \][/tex]
So,
[tex]\[ \text{Total Receipts} = 30000 + 1400 + 31400 = 62800 \][/tex]
- Total Payments [tex]\([B]\)[/tex]:
[tex]\[ \text{Total Payments} = \text{Household Expenses} + \text{School Fees} + \text{Lease Payment for Car} + \text{Medical Aid} + \text{Pension Fund} + \text{Insurance} + \text{Bond Repayment} \][/tex]
Given:
[tex]\[ \text{Household Expenses} = 3450, \quad \text{School Fees} = 1300, \quad \text{Lease Payment for Car} = 2000, \quad \text{Medical Aid} = 3300, \quad \text{Pension Fund} = 5600, \quad \text{Insurance} = 26550, \quad \text{Bond Repayment} = 4850 \][/tex]
So,
[tex]\[ \text{Total Payments} = 3450 + 1300 + 2000 + 3300 + 5600 + 26550 + 4850 = 47050 \][/tex]
- Balance for January:
[tex]\[ \text{Balance in January} = \text{Total Receipts} - \text{Total Payments} \][/tex]
[tex]\[ \text{Balance in January} = 62800 - 47050 = 15750 \][/tex]
2. February Calculations:
- Income and Rent:
Given:
[tex]\[ \text{Income in February} = 20000, \quad \text{Rent Premises} = 6000 \][/tex]
- Balance for February:
[tex]\[ \text{Balance in February} = \text{Income in February} - \text{Rent Premises} \][/tex]
[tex]\[ \text{Balance in February} = 20000 - 6000 = 14000 \][/tex]
3. March Calculations:
- Income, Lump Sum, and Major Expenses:
Given:
[tex]\[ \text{Income in March} = 30000, \quad \text{Lump Sum Benefit} = 350000, \quad \text{Bond Settlement} = 300000, \quad \text{Equipment Payment} = 30000, \quad \text{Rent Premises} = 6000 \][/tex]
- Balance for March:
[tex]\[ \text{Balance in March} = \text{Income in March} + \text{Lump Sum Benefit} - \text{Rent Premises} - \text{Bond Settlement} - \text{Equipment Payment} \][/tex]
[tex]\[ \text{Balance in March} = 30000 + 350000 - 6000 - 300000 - 30000 = 44000 \][/tex]
4. April Calculations:
- Income and Expenses:
Given:
[tex]\[ \text{Income in April} = 40000, \quad \text{Rent Premises} = 6000, \quad \text{Equipment Payment} = 2000 \][/tex]
- Balance for April:
[tex]\[ \text{Balance in April} = \text{Income in April} - \text{Rent Premises} - \text{Equipment Payment} \][/tex]
[tex]\[ \text{Balance in April} = 40000 - 6000 - 2000 = 32000 \][/tex]
To summarize:
- Total Receipts in January: 62800
- Total Payments in January: 47050
- Balance in January: 15750
- Balance in February: 14000
- Balance in March: 44000
- Balance in April: 32000