A fruit vendor purchases oranges at Rs. 150, Rs. 90, and Rs. 75 per kg. These oranges purchased at three different prices are mixed in the ratio 4:5:6, respectively, and are sold at a profit of 40%. Find the selling price (in rupees) of oranges per kg.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 140
Given that
There are three types of oranges, which are in ratio of 4:5:6.
and the C.P of these oranges are Rs. 150, Rs. 90 and Rs. 75 per kg respectively.
Total C.P. = 4x × 150 + 5x × 90 + 6x × 75 = 600x + 450x + 450x = 1500x
These oranges are sold at profit of 40%
Formula used
Profit % = [(S.P. - C.P.)/C.P.] × 100
Calculation
40 = [(S.P. - 1500x)/1500x] × 100
600x = S.P. - 1500x
S.P. = 1500x + 600x = 2100x
Hence, the S.P. of oranges per kg = 2100x/(4x + 5x + 6x) = 2100x/15x = Rs 140