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In what ratio must a grocer mix two varieties of pulse costing Rs. 25/kg and Rs. 30/kg, respectively, so as to get a mixture worth Rs. 27/kg?

In what ratio must a grocer mix two varieties of pulse costing Rs. 25/kg and Rs. 30/kg, respectively, so as to get a mixture worth Rs. 27/kg? Correct Answer 3 : 2

Given,

Cost of 1 kg of pulse of variety-1 = Rs. 25

Cost of 1 kg of pulse of variety-2 = Rs. 30

Cost of 1 kg of mixed pulses = Rs. 27

Concept:

Mixture and Allegation method:

[ alt="F2 M.S 12.6.20 pallavi D 1" src="//storage.googleapis.com/tb-img/production/20/06/F2_M.S_12.6.20_pallavi_D%201.png" style="width: 128px; height: 122px;">

Where, a > c > b

Calculation:

[ alt="F2 M.S 12.6.20 pallavi D 2" src="//storage.googleapis.com/tb-img/production/20/06/F2_M.S_12.6.20_pallavi_D%202.png" style="width: 130px; height: 123px;">

∴ Required ratio of pulses of cost of Rs. 27/kg to cost of Rs. 30/kg = 3 : 2

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