A vendor bought 150 breadfruits at $2 each 20 of the breadfruits were bruised and could not be sold.She sold 30 of the remainder at $2 each and the rest at $1.80 each.Find whether he made a profit or loss and the amount.
The vendor sold them at a loss.
He paid $300 for the breadfruits.
He sold 30 at $2. for a total of $60.
He sold 100 at $1.80 for a total of $180.
300 - (60 + 180) = $________ loss
It is immediately clear that he lost money, since he sold each fruit at cost or less, and didn't even sell them all.
spent: 150*$2 = $300
Sold 130 and made
30*$2 + 100*$1.80 = $60+180 = $240
Lost: 60
Poorly set-up problem. Should have specified that some of them were sold at a profit, eh?
To determine whether the vendor made a profit or a loss, we need to calculate the total cost and the total revenue from the sale of breadfruits.
Step 1: Calculate the total cost of the breadfruits.
The vendor bought 150 breadfruits at $2 each, so the total cost is:
Total Cost = Number of breadfruits × Cost per breadfruit
Total Cost = 150 × $2 = $300
Step 2: Calculate the total revenue from selling the breadfruits.
First, let's determine the number of breadfruits that could be sold after removing the bruised ones. We had 150 breadfruits originally, and 20 were bruised, so the remainder is:
Remainder = Total number of breadfruits - Bruised breadfruits
Remainder = 150 - 20 = 130
The vendor sold 30 breadfruits at $2 each, which gave a revenue of:
Revenue from selling at $2 = Number of breadfruits sold × Price per breadfruit
Revenue from selling at $2 = 30 × $2 = $60
The remaining breadfruits (130 - 30 = 100) were sold at $1.80 each, which gave a revenue of:
Revenue from selling at $1.80 = Number of remaining breadfruits × Price per breadfruit
Revenue from selling at $1.80 = 100 × $1.80 = $180
Step 3: Calculate the total revenue.
Total Revenue = Revenue from selling at $2 + Revenue from selling at $1.80
Total Revenue = $60 + $180 = $240
Step 4: Determine if there was a profit or a loss.
To find the profit or loss, we need to compare the total cost and the total revenue.
Profit/Loss = Total Revenue - Total Cost
Profit/Loss = $240 - $300 = -$60
Since the profit/loss (-$60) is negative, the vendor incurred a loss of $60 from selling the breadfruits.
In conclusion, the vendor made a loss of $60 from selling the breadfruits.