In what ratio must a grocer mix two varieties of pulses costing Rs.72 and Rs.96 per kg respectively so as to get a mixture worth Rs.83 per kg?

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  1. 13:10
  2. 10:13
  3. 11:13
  4. 13:11

Answer (Detailed Solution Below)

Option 4 : 13:11
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Cost of pulse 1 = ₹72/kg

Cost of pulse 2 = ₹96/kg

Mean price (mixture price) = ₹83/kg

Formula used:

Cheaper : Costlier = (C2 − Mean) : (Mean − C1)

Calculation:

⇒ 96 − 83 : 83 − 72

⇒ 13 : 11

∴ Required ratio = 13 : 11

Shortcut Trick

Price per kg (₹) 72   96
    83  
Difference Calculation 96 - 83 = 13   83 - 72 = 11
  Pulses A (Cheaper) Mixture Cost Price Pulses B (Costlier)

 

 

 

 

 

 

 

Ratio of Quantity of Pulses A to Pulses B = 13 : 11

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