In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg , so as to earn a profit of 20% by selling the mixture at Rs. 54 per kg?

This question was previously asked in
SSC CGL Tier 2 Quant Previous Paper 2 (Held On: 16 November 2020)
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  1. 2 ∶ 3
  2. 4 ∶ 7
  3. 3 ∶ 5
  4. 5 ∶ 8

Answer (Detailed Solution Below)

Option 3 : 3 ∶ 5
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Detailed Solution

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Given - 

Sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg

Profit = 20%, selling price = Rs. 54

Formula used - 

Selling price = (100 + profit) × cost price/100

Solution - 

Let the cost price of whole mixture be Rs. x.

⇒ x = 54 × 100/120

⇒ x =  Rs. 45 

Ratio = (48 – 45) ∶ (45 – 40)

⇒ 3 ∶ 5

∴ The ratio is 3 : 5.

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