Question

the cost of l type of sugar is ₹44 per kg and the cost of type ll sugar is ₹48 per kg. if both type l and ll are mixed in the ratio of 3:5 then what is the price per kg of the mixed variety of sugar?
plz give an appropriate answer.​

Answer 1

Answer: ₹46.5

Step-by-step explanation:

Given:

Cost of sugar I: ₹44 per kg.

Cost of sugar II: ₹48 per kg.

Mixed in the ratio of 3:5 respectively.

Solution

Now for easier calculation, let us consider we have mixed 3 kgs of sugar I and 5 kgs of sugar II. To give us a total of 8 kgs of sugar which is a mixture of sugar I and sugar II.

Price of this mixture = (mass of sugar I)(price of sugar I) + (mass of sugar I)

                                    (price of sugar II).

Price of 8 kgs of this mixture = (3×44) + (5×48)

Price of 8 kgs of this mixture = 132 + 240

Price of 8 kgs of this mixture = 372

Therefore, the price of 8 kgs of a mixture of sugar that is in the ratio of 3:5 for sugar I and sugar II respectively is =  ₹372

Therefore, the price of 1 kg of the mixture is =$\frac{372}{8} = 46.5$

Hence, if both type l and ll are mixed in the ratio of 3:5 then the price per kg of the mixed variety of sugar is ₹46.5.

Answer 2

Answer:

let us consider we have mixed 3 kgs of sugar I and 5 kgs of sugar II. To give us a total of 8 kgs of sugar which is a mixture of sugar I and sugar II.

Price of this mixture = (mass of sugar l)(price of sugar l) + (mass of sugar I)

(price of sugar II).

Price of 8 kgs of this mixture = (3×44) + (5×48)

Price of 8 kgs of this mixture = 132 + 240

Price of 8 kgs of this mixture = 372

Therefore, the price of 8 kgs of a mixture of sugar that is in the ratio of 3:5 for sugar I and sugar Il respectively is = 7372

Therefore, the price of 1 kg of the mixture is = 372/8 = 46.5

Hence, if both type I and II are mixed in the ratio of 3:5 then the price per kg of the mixed variety of sugar is ₹46.5.