If two kinds of rice which cost Rs. 25 a kg and Rs. 40 a kg are mixed in the ratio of 3 ∶ 2, then find the cost of the mixture per kg.

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. Rs. 31
  2. Rs. 30
  3. Rs. 32
  4. Rs. 33

Answer (Detailed Solution Below)

Option 1 : Rs. 31
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

Cost of rice 1 = ₹25/kg

Cost of rice 2 = ₹40/kg

Ratio of rice 1 to rice 2 = 3:2

Formula Used:

Cost of mixture per kg = (Cost of rice 1 × Quantity of rice 1 + Cost of rice 2 × Quantity of rice 2) / (Quantity of rice 1 + Quantity of rice 2)

Calculation:

Cost of mixture per kg = (25 × 3 + 40 × 2) / (3 + 2)

⇒ Cost of mixture per kg = (75 + 80) / 5

⇒ Cost of mixture per kg = 155 / 5

⇒ Cost of mixture per kg = 31

∴ The correct answer is option (1).

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