Ratna buys 10 kg of rice for Rs. 88 per kg and another 20 kg of rice for Rs. 187 per kg. What is the per kg cost (in Rs.) of the total mixture of rice for her? 

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 10 Jul, 2024 Shift 2)
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  1. 150 
  2. 148 
  3. 154 
  4. 158

Answer (Detailed Solution Below)

Option 3 : 154 
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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100 Questions 200 Marks 60 Mins

Detailed Solution

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Given:

Ratna buys:

10 kg of rice at Rs. 88 per kg

20 kg of rice at Rs. 187 per kg

Formula Used:

Cost of the mixture per kg = (Total cost of all rice) / (Total weight of all rice)

Calculation:

Cost of 10 kg rice at Rs. 88 per kg:

Total cost = 10 × 88 = Rs. 880

Cost of 20 kg rice at Rs. 187 per kg:

Total cost = 20 × 187 = Rs. 3740

Total cost of the mixture:

Total cost = 880 + 3740 = Rs. 4620

Total weight of the mixture:

Total weight = 10 kg + 20 kg = 30 kg

Cost per kg of the mixture:

Cost per kg = 4620 / 30

⇒ Cost per kg = 154

The per kg cost of the total mixture is Rs. 154

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