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The cost of type 1 rice is Rs. 20 per kg and type 2 rice is Rs. 30 per kg. If both Type 1 and Type 2 are mixed in the ratio 2:3, then the price per kg of the mixed variety is

Solution

✅ Correct Option: 1

The cost of Type 1 rice is Rs. 20 per kg and Type 2 rice is Rs. 30 per kg.

The mixing ratio is 2:3 (Type 1 : Type 2), which means for every 2 kg of Type 1 rice, 3 kg of Type 2 rice is mixed.


Taking 2 kg of Type 1 rice:

Cost =2×20= 2 \times 20

Cost =Rs. 40= \text{Rs. } 40


Taking 3 kg of Type 2 rice:

Cost =3×30= 3 \times 30

Cost =Rs. 90= \text{Rs. } 90


Total cost of the mixture:

Total cost =40+90= 40 + 90

Total cost =Rs. 130= \text{Rs. } 130

Total weight =2+3= 2 + 3

Total weight =5 kg= 5 \text{ kg}


Price per kg of the mixed variety:

Price per kg =Total costTotal weight= \dfrac{\text{Total cost}}{\text{Total weight}}

Price per kg =1305= \dfrac{130}{5}

Price per kg =Rs. 26= \text{Rs. } 26

Therefore, the price per kg of the mixed variety is Rs. 26.

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