A floweriest buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are delivered, 20 dozen roses are mutilated and are thrown away. At what price should he sell the rest if he needs to make a 20% profit on his purchase?
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Answers
Cost of 1 dozen roses =Rs.2
Number of roses bought by the flowerist =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
$$\dfrac{Profit \%}{100} = \dfrac{SP−CP}{CP}$$
$$\dfrac{20}{100} = \dfrac{SP−200}{200}$$
$$SP = Rs. 240$$Profit %100 = SP-CPCP20100 = SP-200200SP = Rs. 240
Therefore, the SP of the roses should be Rs.240/80=Rs.3 per dozen.
Rs 3 per dozen
Answer:
The SP of the roses should be Rs. 240/80 = Rs. 3 per dozen.
Step-by-step explanation:
Solution↴
- Given cost of 1 dozen roses = Rs. 2
- Number of roses bought by the floweriest = 100 dozens
➪ Thus, cost price of 100 dozen roses = 2 x 100 = Rs. 200
➪ Roses left after discarding the mutilated ones = 80 dozens
Calculating the price at which the floweriest should sell the 80 dozen roses in order to make a profit of 20%, we have
Profit % = ((SP-CP)/CP) x100 = ((SP-200)/200) x 100
40 = SP – 200
SP = Rs. 240
Therefore, the SP of the roses should be Rs. 240/80 = Rs. 3 per dozen.