Question

In what ratio should cement costing Rs. 250 per bag be mixed with cement costing Rs. 325 per bag so that the cost of the mixture is Rs. 300 per bag. (A bag of cement is 50 kg).

• A. 1 : 2
• B. 2 : 1
• C. 3 : 2
• D. 2 : 3

Answer 1

Answer:

A. 1 : 2

Solution:

Concept used :

Average = Total sum of observations/Number of observations 

Calculations :

Let the number of bags be x costing per bag Rs 250 

Let the number of bags be y costing per bag Rs 325

Total cost of x bags $=x\times{250}=250x$

Total cost of y bags $=y\times{325}=325y$

 

According to the question 

$\frac{(250x + 325y)}{(x + y)} = 300$

 

⇒ $\frac{x}{y} = \frac{1}{2}$

 

∴ ratio of bag costing 250 to the bag cost 325 is 1 : 2