# Avocados are purchased by a vendor at the rate of Rs. 100, Rs. 80 and Rs. 60 per kg. The vendor mixed the avocados by weight in the ratio of 2 ∶ 4 ∶ 9

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Avocados are purchased by a vendor at the rate of Rs. 100, Rs. 80 and Rs. 60 per kg. The vendor mixed the avocados by weight in the ratio of 2 ∶ 4 ∶ 9 respectively and sells them at the profit of 30%. What is the approximate selling price per kg of avocados?

1. Rs. 85.50
2. Rs. 91.87
3. Rs. 85.37
4. Rs. 90.05

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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.