Multiple choice

In what ratio must a grocer mix tea at Rs. 61 a kg. and Rs. 67 a kg , so that by selling the mixture at Rs . 68.20 a kg , he may gain 10% ? एक पंसारी 61 रु. प्रति किग्रा और 67 रु प्रति किग्रा वाली चाय को किस अनुपात में मिलाए ताकि मिश्रण को 68.20 रु प्रतिकिग्रा पर बेचने पर उसे 10% का लाभ हो ?

  1. 5 : 1

  2. 3 : 4

  3. 3 : 5

  4. 4 : 5
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A Correct answer
Explanation

Selling price at 10% profit means cost price of mixture = 68.20/1.10 = 62. Using alligation: (67 - 62) : (62 - 61) = 5 : 1. The cheaper tea (Rs. 61) should be in greater proportion (5 parts) and the expensive tea (Rs. 67) in smaller proportion (1 part) to achieve the target cost price.

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