Question

How many kg of sugar costing 11 per kg must be mixed with 21 kg of sugar costing9 per kg so that there is a gain of 10% byselling the mixture at 10.45 per kg?

Answer 1

By the rule of alligation:


C.P. of 1 kg sugar of 1st kind      C.P. of 1 kg sugar of 2nd kind 

 



 

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.