I purchased some apples at a certain cost price.
When I sell all apples at 80 yen per piece, there are 500 yen loss and I sell all at 100 yen per piece, there are 1500 yen profits.
How many pieces did I purchase and how much is the cost price per piece ?
When I sell all apples at 80 yen per piece, there are 500 yen loss and I sell all at 100 yen per piece, there are 1500 yen profits.
How many pieces did I purchase and how much is the cost price per piece ?
Answer
The difference is 20 yen per piece and is 2000 yen in all.
That means that the number of apples purchased is 2000/20 = 100 pieces.
Loss per piece is calculated by 500 /100 = 5 yen.
Therefore the cost price of an apple is 80 + 5 = 85 yen.
100 pieces
85 yen
Solution
Comparing selling at 80 yen per piece and selling at 100 yen, there comes out a difference of 100 - 80 = 20 yen.
What there are 500 yen loss by selling at 80 yen per piece and are 1500 yen profits by selling at 100 yen per piece means that there are 1500 + 500 = 2000 yen deference coming out in all.
What there are 500 yen loss by selling at 80 yen per piece and are 1500 yen profits by selling at 100 yen per piece means that there are 1500 + 500 = 2000 yen deference coming out in all.
The difference is 20 yen per piece and is 2000 yen in all.
That means that the number of apples purchased is 2000/20 = 100 pieces.
Loss per piece is calculated by 500 /100 = 5 yen.
Therefore the cost price of an apple is 80 + 5 = 85 yen.