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 Rs.) of oranges per kg.

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SSC GD Constable (2022) Official Paper (Held On : 25 Jan 2023 Shift 2)
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  1. 160
  2. 150
  3. 140
  4. 210

Answer (Detailed Solution Below)

Option 3 : 140
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Detailed Solution

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Given:

The cost of oranges per kg when purchased = Rs. 150, Rs. 90, and Rs. 75

The oranges are mixed in the ratio = 4 : 5 : 6

The profit = 40%

Concept:

Calculation of average cost price and selling price with profit.

Solution:

Average cost price per kg of mixed oranges = (150 x 4 + 90 x 5 + 75 x 6)/(4 + 5 + 6)

⇒ (600 + 450 + 450)/15 = Rs 100

⇒ Selling price per kg = Cost price + profit

 Rs. 100 + 40% of Rs. 100 

 Rs. 100 + Rs. 40 = Rs. 140

Therefore, the selling price of oranges is Rs. 140 per kg.

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