A tooth paste distributor made 3500 pieces of Colgate at a cost of $ 350000. He gave 500
pieces free for demo to some dentist. He also allowed a 25% discount on the market price of
the piece and gave one extra piece free with every 29 pieces bought at a time. In this manne
he was able to sell all the 3500 tooth paste pieces that were produced. If the market price of
a piece was $ 150, then what is his gain or loss percent for total number of tooth paste
pieces?
Answers
Given:
A tooth paste distributor made 3500 pieces of Colgate at a cost of $ 350000.
He gave 500 pieces free for demo to some dentist.
He also allowed a 25% discount on the market price of the piece and gave one extra piece free with every 29 pieces bought at a time.
In this manner he was able to sell all the 3500 tooth paste pieces that were produced.
To find:
If the market price of a piece was $ 150, then what is his gain or loss percent for total number of tooth paste pieces?
Solution:
From given, we have,
CP of 3500 tooth paste = $ 350000
The SP of one toothpaste after discount is $ 112.50
SP of each set of 30 toothpaste (29 + 1) = 29 × 112.50 = $ 3262.50
SP of 3500 toothpaste including 500 free toothpaste = $ 3262.50
Therefore, the overall loss of $ 350000 is $ 23750
Therefore, the loss per cent = 23750/350000 × 100 = 6.8%
Therefore, the loss per cent for the total number of toothpaste pieces is 6.8%