Question

A flowerist buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are delivered, 20 dozen roses are multilated and are thrown away. At what price should he sell the rest if he needs to make a 20% profit on his purchase?

Answer 1

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

$$\begin{gathered} \frac{\mathrm{Profit}\%}{100}=\frac{\mathrm{SP}-\mathrm{CP}}{\mathrm{CP}} \\ \frac{20}{100}=\frac{\mathrm{SP}-200}{200} \\ \mathrm{SP}=\mathrm{Rs}.240 \end{gathered}$$

Therefore, the SP of the roses should be Rs. 240/80 = Rs. 3 per dozen.