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?

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Solution

Dear Student,

$It is given that a flowerist buys 100 dozen roses at Rs 2 per dozen . So, the cost price (CP) of the 100 dozen roses = Rs 2 \times 100 = Rs 200 . The profit percent is given to be 20 % . The formula for profit % is given by, profit % = \frac{profit}{CP} \times 100 \Rightarrow profit % = \frac{SP - CP}{CP} \times 100 \Rightarrow profit % = (\frac{SP}{CP} - 1) \times 100 \Rightarrow \frac{profit %}{100} + 1 = \frac{SP}{CP} \Rightarrow SP = (\frac{profit % + 100}{100}) \times CP Substitute the values to get, SP = (\frac{20 + 100}{100}) \times 200 = 120 \times 2 = Rs 240 . Since 20 dozen roses are mutilated, the quantity sold is 80 dozen . So, the flowerist should sell the flowers at \frac{Rs 240}{80} per dozen . Thus, the flowerist should sell the flowers at Rs 3 per dozen .$

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