How many kg of rice costing Rs 42 per kg should be mixed with 7½kg rice costing Rs 50 per kg so that by selling the mixture at Rs 53.10 per kg, there is a gain of 18%?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 12½
Concept
Alligation Method
Application
By selling the mixture at Rs 53.10, he earns a profit of 18%
Therefore Cost Price = 53.10 / 118 x 100
= Rs. 45.
Using Alligation Method
Price Price
42 50
45
k 15/2
(42 x K ) + ( 50 x 15/ 2) = 45 x ( K + 15/2)
Upon solving
K = 12.5