Mango A worth Rs 130/kg and mango B worth Rs 120/kg is mixed with the third variety C in the ratio 1.1.2
If the mixture is worth Rs 160, what is the price of the variety C mango?
Rs 195
Rs 200
Rs 225
Rs 230
Answers
Answer:
200 mangoes at c mangoes
Option(A) Rs. 195 is the correct answer.
Given,
Cost of mango A = Rs. 130/kg
Cost of mango B = Rs. 120/kg
The ratio of mixture = 1:1:2
The mixture of A, B, and C = Rs. 160
To Find,
The price of the variety C mango =?
Solution,
Let the cost of Mango C be x/kg
The total cost of the mixture = 160 per kg
According to the question, the ratio is 1:1:2
Assume that quatity of each variety of mango taken is 1 kg
Total quantity of the mixture = 1 + 1 + 2 = 4 kg
The total cost of the mixture of 4kg = 160 * 4 = Rs. 640
That means,
1*(Cost of Mongo A) + 1*(Cost of Mongo B) + 2*(Cost of Mongo C) = 640
1*(130) + 1*(120) + 2*(x) = 640
130 + 120 + 2x = 640
2x = 640 - 250
2x = 390
x = 390 / 2
x = Rs. 195
Hence, the price of the variety C mango is Rs. 195.