Final answer:
The dealer originally paid #400.00 for the crate of soft drink, as 50% profit on the cost price results in a 150% selling price of the item, leading to the determination that the cost was #400.00 when the seller made #600.00 from the sale.
Step-by-step explanation:
The question is asking how much the dealer originally paid for a crate of soft drink if they sold it for #600.00 and made a 50% profit.
To find the cost price of the drink, we need to work backwards from the selling price and the profit percentage. A profit of 50% means the selling price is 150% of the cost price.
Let's represent the cost price as 'x'. Therefore, the equation is 1.5x = 600. Dividing both sides by 1.5 will give us x = 600 / 1.5, which is x = 400. So, the dealer paid #400.00 for the crate of soft drink.