In what ratio must a shopkeeper mix peas and soybean of rs. 16 and rs. 25 per kg respectively, so as to obtain a mixture of rs. 19.50 ?
Answers
Answer: Peas and Soy beans to be mixed in the ratio 61.11 & 38.89 respectively.
Step-by-step explanation:
Concept:
Ratio is the comparison between two mathematical quantities.
We have to take the unknown mathematical quantities by variables and form a suitable equation in two variables to find the required.
Given:
Cost of per kg peas is Rs 16 and Cost of per kg soybean is Rs 25.
Find:
The ratio of the pea and soybean to obtain a mixture with cost Rs 19.50 per kg.
Solution:
Let the required quantity of peas be x and soybean be y.
Now we have to find the suitable value of x:y to fulfill the given condition.
So cost of x kg peas is = 16x
cost of y kg soybean is = 25y
The total cost of the mixture = 16x+25y
The amount of total mix = x+y
According to condition the cost should be = 19.50 (x+y)
So,
16x+25y = 19.50(x+y)
16x+25y = 19.5x+19.5y
19.5x-16x = 25y-19.5y
3.5x = 5.5y
x/y = 5.5/3.5 = 55/35 = 11/7
Therefore, x:y = 11:7
Hence the required ratio of peas and soybean is 11:7 to obtain a mix of Rs 19.50.
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