A fuel dealer makes a profit of shillings 520 for every 1000 liters of petrol sold and shillings 480 for every 1000 liters of diesel sold. In a certain month the dealer sold twice as much diesel as petrol. If the total fuel sold that month was 900,000 liters, find the dealer’s profit for the month

300*520 + 600*480

diesel = 2*petrol

1) d = 2p

2) d + 2p = total sold = 900,000

See if you can find p and d from those two equations now and then the profits after that.

To find the dealer's profit for the month, we need to calculate the amount of petrol and diesel sold and then determine the profit for each fuel type.

Let's start by finding the amount of petrol and diesel sold:

Let P be the quantity of petrol sold (in liters).
Since the dealer sold twice as much diesel as petrol, the quantity of diesel sold would be 2P (in liters).

The total fuel sold that month was given as 900,000 liters, so we can write the equation:

P + 2P = 900,000

Combining like terms:

3P = 900,000

Dividing both sides of the equation by 3:

P = 300,000

Therefore, the quantity of petrol sold (P) is 300,000 liters and the quantity of diesel sold is 2P, which is 2 * 300,000 = 600,000 liters.

Next, let's calculate the profit for petrol and diesel:

Profit from petrol = (Profit per 1000 liters of petrol) * (Quantity of petrol sold / 1000)
Profit from petrol = (520 shillings / 1000 liters) * (300,000 liters / 1000)
Profit from petrol = 520 * 300

Profit from diesel = (Profit per 1000 liters of diesel) * (Quantity of diesel sold / 1000)
Profit from diesel = (480 shillings / 1000 liters) * (600,000 liters / 1000)
Profit from diesel = 480 * 600

Finally, let's calculate the total profit for the month:

Total profit = Profit from petrol + Profit from diesel
Total profit = (520 * 300) + (480 * 600)

Calculating the values:

Total profit = 156,000 + 288,000
Total profit = 444,000 shillings

Therefore, the dealer's profit for the month is 444,000 shillings.