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Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

Correct answer: B. 2 : 3

  • A. 1 : 3
  • B. 2 : 3
  • C. 3 : 4
  • D. 4 : 5

Explanation

Using alligation, rice at Rs.7.20 per kg : rice at Rs.5.70 per kg = (Rs.6.30 - Rs.5.70) : (Rs.7.20 - Rs.6.30) = Rs.0.60 : Rs.0.90 = 2:3. Verification gives (2 kg x Rs.7.20 per kg + 3 kg x Rs.5.70 per kg) / 5 kg = Rs.6.30 per kg. The likely mistake is option a, 1:3, which makes the mixture cheaper than Rs.6.30 per kg.

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