In what ratio should sugar costing ₹71 per kg be mixed with sugar costing ₹22 per kg so that by selling the mixture at ₹41.6 per kg, there is a profit of 30%?

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RPF Constable 2024 Official Paper (Held On: 09 Mar, 2025 Shift 3)
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  1. 12:37
  2. 10:39
  3. 12:41
  4. 11:37

Answer (Detailed Solution Below)

Option 2 : 10:39
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RPF Constable Full Test 1
120 Qs. 120 Marks 90 Mins

Detailed Solution

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Given:

Sugar A = ₹71 per kg (costlier)

Sugar B = ₹22 per kg (cheaper)

Selling Price of mixture = ₹41.6 per kg

Profit = 30%

Formula used:

Cost Price of mixture =

Mixture Ratio = Use alligation rule:

Calculation:

Cost Price of mixture =

Apply alligation:

Sugar A (costlier) = ₹71

Sugar B (cheaper) = ₹22

Mean Price = ₹32

⇒ Sugar A : Sugar B =

⇒ Sugar A : Sugar B =

∴ Required ratio = 10 : 39

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