Easha bought two varieties of rice, costing Rs 50 per kg and Rs. 60 per kg…
2026
Easha bought two varieties of rice, costing Rs 50 per kg and Rs. 60 per kg each and mixed them in some ratio. Then she sold the mixture at Rs. 70 per kg, making a profit of 20%. What was the ratio of the mixture?
- A.
1:10
- B.
3:8
- C.
1:5
- D.
2:7
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Correct answer: C
Selling at Rs 70 per kg with a 20% profit means the cost price of the mixture is 70 ÷ 1.2 = Rs 58.33 per kg.
Now mix Rs 50/kg rice and Rs 60/kg rice to get mean Rs 58.33/kg (alligation).
Differences from the mean: 60 − 58.33 = 1.67 and 58.33 − 50 = 8.33.
Required ratio (Rs 50/kg rice : Rs 60/kg rice) = (60 − 58.33) : (58.33 − 50) = 1.67 : 8.33 = 1 : 5.
So, the mixture ratio is 1 : 5.