A merchant bought some oranges at the rate of 3 for 16 cents. He bought twice as many oranges at the rate of 4 for 21 cents. To make a profit of 20%, based on his investment, he sold them all at the rate of 3 for k cents. Find k.

Guest Dec 6, 2019

#1**+1 **

Let the number of organges he first bought = N.....so the total cost of these = N (16/3)

So the number that he bought in the second instance = 2N....so the total cost of these = 2N (21/4)

And the revenue he makes = 3N(k/3)

So

1.2 [ cost of goods sold ] = total revenue

1.2 [ N (16/3) + 2N (21/4) ] = 3N(k/3) divide through by N

1.2 ( 16/3 + 2(21/4) ] = k

1.2 [ 16/3 + 21/2] = k

(6/5) [ 32 + 63 ] / 6 = k

[ 32 + 63 ] / 5 = k

95 / 5 = k

19 = k

CPhill Dec 6, 2019