a company having two branches located at abuja and lagos both of which have sales of 50,000 in the first month of trading.if abuja's sales increase each month at the rate of 7,500 per month and lagos sales increase at the rate of 10% per month on the previous month sales.What will be their combined sales in the
(a)twelveth month of trading
(b)first year of operation
this is just like simple vs compound interest.
A: 50000 + 7500m (arithmetic progression)
B: 50000 * 1.10^m (geometric progression)
So plug in your numbers.
Come back if you get stuck.
thanks @oobleck, should i solve with this formula Tn=a+(n-1)d
for the AP, yes.
my answer for the twelveth month of trading is #132,500.
Am still finding it difficult to get the first year of operation :-(
To find the combined sales of the two branches in the twelfth month of trading and the first year of operation, we need to calculate the sales for each branch at the end of each month.
Let's start by calculating the sales for each branch month by month:
For Abuja:
- Month 1: Sales = 50,000
- Month 2: Sales increase by 7,500 = 50,000 + 7,500 = 57,500
- Month 3: Sales increase by 7,500 = 57,500 + 7,500 = 65,000
- Month 4: Sales increase by 7,500 = 65,000 + 7,500 = 72,500
- Month 5: Sales increase by 7,500 = 72,500 + 7,500 = 80,000
- Month 6: Sales increase by 7,500 = 80,000 + 7,500 = 87,500
- Month 7: Sales increase by 7,500 = 87,500 + 7,500 = 95,000
- Month 8: Sales increase by 7,500 = 95,000 + 7,500 = 102,500
- Month 9: Sales increase by 7,500 = 102,500 + 7,500 = 110,000
- Month 10: Sales increase by 7,500 = 110,000 + 7,500 = 117,500
- Month 11: Sales increase by 7,500 = 117,500 + 7,500 = 125,000
- Month 12: Sales increase by 7,500 = 125,000 + 7,500 = 132,500
For Lagos:
- Month 1: Sales = 50,000
- Month 2: Sales increase by 10% = 50,000 + (10/100) * 50,000 = 55,000
- Month 3: Sales increase by 10% = 55,000 + (10/100) * 55,000 = 60,500
- Month 4: Sales increase by 10% = 60,500 + (10/100) * 60,500 = 66,550
- Month 5: Sales increase by 10% = 66,550 + (10/100) * 66,550 = 73,205
- Month 6: Sales increase by 10% = 73,205 + (10/100) * 73,205 = 80,525
- Month 7: Sales increase by 10% = 80,525 + (10/100) * 80,525 = 88,578
- Month 8: Sales increase by 10% = 88,578 + (10/100) * 88,578 = 97,436
- Month 9: Sales increase by 10% = 97,436 + (10/100) * 97,436 = 107,179.6
- Month 10: Sales increase by 10% = 107,179.6 + (10/100) * 107,179.6 = 117,897.6
- Month 11: Sales increase by 10% = 117,897.6 + (10/100) * 117,897.6 = 129,687.36
- Month 12: Sales increase by 10% = 129,687.36 + (10/100) * 129,687.36 = 142,656.096
Now, let's calculate the combined sales for the twelfth month of trading:
Combined sales = Abuja's sales in the twelfth month + Lagos' sales in the twelfth month
Combined sales = 132,500 + 142,656.096
Combined sales = 275,156.096
Therefore, the combined sales of the two branches in the twelfth month of trading would be approximately 275,156.096.
To calculate the first-year sales, we'll sum up the sales for each branch for the twelve months:
For Abuja:
Total sales = 50,000 + 57,500 + 65,000 + 72,500 + 80,000 + 87,500 + 95,000 + 102,500 + 110,000 + 117,500 + 125,000 + 132,500
For Lagos:
Total sales = 50,000 + 55,000 + 60,500 + 66,550 + 73,205 + 80,525 + 88,578 + 97,436 + 107,179.6 + 117,897.6 + 129,687.36 + 142,656.096
Now, let's calculate the first-year sales by summing up the sales for both branches:
First-year sales = Total sales from Abuja + Total sales from Lagos
Therefore, the combined sales of the two branches in the first year of operation would be the sum of the total sales from Abuja and the total sales from Lagos.