Multiple choice

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

  1. $1 : 3$
  2. $2 : 3$
  3. $3 : 4$
  4. $4 : 5$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the alligation method: (7.20 - 6.30) = 0.90 and (6.30 - 5.70) = 0.60. The ratio is 0.60 : 0.90, which simplifies to 2 : 3.

AI explanation

Using the rule of alligation, the ratio of the quantity of the cheaper rice to the dearer rice is (Mean Price - Cheaper Price) : (Dearer Price - Mean Price). The ratio is (6.30 - 5.70) : (7.20 - 6.30), which simplifies to 0.60 : 0.90. This yields a mixing ratio of 2 : 3.

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