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The certain type of millet mixture is prepared by mixing millet type P and millet type Q. The cost price of type P millet is ₹ 7.4/kg and the cost price of type Q millet is ₹9.3/kg. If both type of millet are mixed, then, the mixture is worth ₹ 8.6/kg, then, how many kg of millet type P is needed to make 171 kg of the mixture?

The certain type of millet mixture is prepared by mixing millet type P and millet type Q. The cost price of type P millet is ₹ 7.4/kg and the cost price of type Q millet is ₹9.3/kg. If both type of millet are mixed, then, the mixture is worth ₹ 8.6/kg, then, how many kg of millet type P is needed to make 171 kg of the mixture? Correct Answer 63

The cost price of millet type P is ₹ 7.4/kg

The cost price of millet type Q is ₹9.3/kg

The cost price of mixture is ₹8.6/kg

By rule of alligation, we get,

The ratio of the quantity of millet type P and millet type Q = 7k: 12k

According to question,

7k + 12k = 171

⇒ 19k = 171

⇒ k = 171/19

⇒ k = 9

∴ Quantity of millet type P is 7k = 63 kg is need to make 171 kg of the mixture.

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