Correct Answer - Option 2 : Rs. 91.87
Given:
Avocados are purchased by a vendor at the rate of Rs. 100, Rs. 80 and Rs. 60 per kg.
The vendor mixed the avocados in the ratio of 2 ∶ 4 ∶ 9 and sells them at the profit of 30%.
Concepts used:
Profit % = (Profits/C.P.) × 100
Profits = S.P. – C.P.
Calculation:
The vendor mixed the avocados in the ratio of 2 ∶ 4 ∶ 9.
Let avocados mixed by weight be 2x, 4x and 9x.
⇒ Total C.P. = Rs. 100 × 2x + Rs. 80 × 4x + Rs. 60 × 9x = Rs. 1,060x
Profit % = (Profits/C.P.) × 100
⇒ 30 = {(S.P. – 1,060x)/1,060x} × 100
⇒ S.P. of 15x kg avocados = Rs. 1,378x
⇒ S.P. of 1 kg avocados = Rs. 1,378/15 = Rs. 91.87
∴ Selling price of 1 kg avocados is Rs. 91.87.