In what ratio must a shopkeeper mix peas and soyabean costing ₹16 and ₹25 per kg respectively, so as to obtain a mixture worth ₹19 per kg?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2 : 1
In the mixture, the saving on the cheaper kind must balance the extra cost of the dearer kind. Each kg of peas costs ₹3 less than the mixture price and each kg of soyabean ₹6 more, so the quantities must be in the inverse ratio of these differences (the rule of alligation).
Peas : soyabean \(=(25-19):(19-16)\)
\(=6:3=2:1\)