1234Deeksha
Cost price of A&B is given and selling price of mixture is given. Can we still apply alligation?
Krunaal
D3N0
A grocer has two types of rice. Type A costs ₹40 per kg and Type B costs ₹60 per kg. He mixes the two types in a certain ratio to get a 30 kg mixture that he sells at ₹50 per kg. What is the quantity of Type A rice in the mixture?
A. 10 kg
B. 12 kg
C. 15 kg
D. 18 kg
E. 20 kg
Using Alligation,
From above we see that both rice were mixed in 1:1 ratio => 15kg + 15kg = 30kg
Type A = 15kg
Answer C.If 30, and 60 are the cost price to the grocer, to apply alligation 50 needs to be the mean cost price. So that's the unstated assumption made, without which we can't get an answer by any method not only alligation.
However, imo the question writer intended that 40, and 60 were the
costs to customer and not grocer, then the question doesn't need to make any unstated assumptions; but it could've been better worded to avoid ambiguity, for eg. "Type A
sells for 40 per kg...."