Question

How many kilograms of rice costing 3.6 per kg should be mixed with 8 kgs of rice costing 4.20 per kg, such that the mixture yields a profit of $10\%$ when it is sold at 4.40 per kg?

• A. 5 kgs
• B. 6 kgs
• C. 3 kgs
• D. 4 kgs

Answer 1

The correct option is D 4 kgs

For all alligation questions, remember that we need to consider only the cost price

Given that the Selling Price = .

$Costprice\times 1.1=Sellingprice$

$Costprice=\frac{Sellingprice}{1.1}=\frac{4.4}{1.1}=4rs$

Ratio of quantity of rice = 2:4 or 1:2. Given that the quantity of the second variety is 8 kg, the first variety should be $\frac{8}{2}$ =4 kgs