A wholesaler decides to mix two varieties of lentils worth Rs. 170 per kg and Rs. 180 per kg with a third
variety of lentils in the ratio 2:2:3
What is the price per kg of the third variety of lentils if the lentil mixture is worth 173 per kg?
Answers
Solution :-
Let us assume that, quantity of three varieties of lentils are 2x kg, 2x kg and 3x kg respectively . Let us also assume that, Cost of third variety of lentils per kg is Rs.y .
so,
→ Price of first variety per kg * quantity + Price of second variety per kg * quantity + Price of third variety per kg * quantity = Total weight of lentils * price of mixture .
→ 170 * 2x + 180 * 2x + y * 3x = 173 * (2x + 2x + 3x)
→ 340x + 360x + 3xy = 173 * 7x
→ 700x + 3xy = 1211x
→ 3xy = 1211x - 700x
→ 3xy = 511x
→ 3y = 511
→ y = 511/3
→ y = Rs.170.33 / kg . (Ans.)
Hence, the price per kg of the third variety of lentils is Rs.170.33 .
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