Question

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 thrown away. At what price should he sell the rest if he needs to make a profit of
20% on his purchase?
​

Answer 1

The florist should sell at Rs. 3 per dozen to make a profit of

20% on his purchase.

Total number of roses bought = 100 dozen (Given)

Cost of 1 dozen roses = Rs. 2  (Given)

Thus, the cost price of 100 dozen roses = 2  × 100 =  Rs. 200

Roses that are left after discarding the mutilated ones = 80 dozens

To calculate the price at which the florist should sell the 80 dozen roses to make a profit of 20% -

Profit%/100 = SP - CP/CP

20/100 = SP - 200/200

1/5 = SP - 200/200

SP = 240

Therefore, the selling price of the roses should be  -

= 240/80

= Rs. 3 per dozen.

Answer 2

Answer:

3 dozen

Step-by-step explanation:

Given cost of 1 dozen roses = Rs. 2

Number of roses bought by the florist = 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 florist 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.