. A flowerist buys 100 dozen roses at Rs. 2 a dozen. By the time the flowers are delivered , 20 dozen roses are mutilated and are throw away. At what price should he sell the rest if he needs to make a 20% profit on his purchase.
Answers
Answer:
Cost of 1 dozen roses = Rs. 2
Number of roses bought by the florist = 100 dozens
Thus, cost price of 100 dozen roses = 2 × 100 = Rs. 200
Roses left after discarding the mutilated ones = 80 dozens
Calculating the price at which the florist should sell the 80 dozen roses in order to make a profit of 20%, we have
Therefore, the SP of the roses should be Rs. 240/80 = Rs. 3 per dozen.
Cost prize of 1 dozen roses = Rs. 2
So, cost prize of 100 dozen roses = Rs. (2 × 100) = Rs. 200
Also, given that when the roses are delivered 20 dozen roses are mutilated and are throw away.
Total number of roses = 100 dozen. Out of which 20 dozen roses are thrown away.
So, left roses = (100 - 20) dozen = 80 dozen
From above we find that the profit gain by flower seller (flowerist) is of Rs. 200 (cost price) and 20 dozen flowers are thrown.
Therefore,
Profit = 20% of cost price
Profit = 20/100 × 200
Profit = Rs. 40
Now,
Selling price = Cost price + Profit
Selling price = Rs. (200 + 40)
Selling price = Rs. 240
Selling price of 80 dozen roses = Rs. 240
Selling price of 80 dozen roses = Rs. 240For 1 dozen roses = Rs. 240/80 = Rs. 3
Therefore,
At Rs. 3 per dozen; he sell the rest if he needs to make a 20% profit on his purchase.