Question

If 5 kg of salt costing rs. 5/kg and 3 kg of salt costing rs. 4/kg are mixed, find the average cost of the mixture per kilogram. . rs. 4.5 rs. 4.625 rs. 4.75 rs. 4.125

Answer 1

Total cost = ((5*5) + (3*4))/8 = 37/8 = 4.625

Answer 2

The average 'cost' of 'mixture per kilogram' is Rs.4.625 per kg.

Given:  

Cost of 5 kg of salt = Rs. 5/kg and Cost of 3 kg of salt = Rs. 4/kg are mixed.

To find:

The average cost of the mixture per kilogram  

Solution:  

Total cost of 5kg salt  

$=\text { Quantity of salt } \times \text { Price per } \mathrm{Kg}$

$=5 \mathrm{kg} \times 5$

= Rs.25 per kg

Total cost of 3kg salt  

$=\text { Quantity of salt } \times \text { Price per } \mathrm{Kg}$

$=3 \mathrm{kg} \times 4$

= Rs.12 per kg

Hence, the average cost of mixture per kilogram

$=\frac{\text { Total cost of } 5 \mathrm{kg} \text { salt }+\text { Total cost of } 3 \mathrm{kg} \text { salt }}{\text { Total quantity }}$

$=\frac{25+12}{8}$

= Rs.4.625 per kg.

Hence, 'cost' of 'mixture per kilogram' is Rs.4.625