In what ratio must rice at ₹ 60 per kg is mixed with rice at ₹ 90 per kg so that the mixture be worth ₹ 80 per kg?
In what ratio must rice at ₹ 60 per kg is mixed with rice at ₹ 90 per kg so that the mixture be worth ₹ 80 per kg?
Solution
✅ Correct Option: 4
Two types of rice need to be mixed:
- Rice at ₹60 per kg
- Rice at ₹90 per kg
- Desired mixture price: ₹80 per kg
Using the Alligation Method:
Ratio = (Higher Price - Mean Price) : (Mean Price - Lower Price)
Where:
- Higher Price = ₹90
- Lower Price = ₹60
- Mean Price = ₹80
Ratio = (90 - 80) : (80 - 60)
Ratio = 10 : 20
Ratio = 1 : 2
The rice at ₹60 per kg must be mixed with rice at ₹90 per kg in the ratio 1:2.
This means 1 kg of ₹60 rice is mixed with 2 kg of ₹90 rice.
Total Cost = (1 × 60) + (2 × 90) = 60 + 180 = ₹240
Total Quantity = 1 + 2 = 3 kg
Average price per kg = per kg
Therefore, the answer is 1:2.
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