Question

In what ratio sugar at rs 30/kg should be mixed with sugar at rs 45/kg so that on selling the mixture at rs 42/ kg there is a profit of 20%?

Answer 1

Answer:

2 : 1

Step-by-step explanation:

Hi,

Let the ratio in which we mix given two types of sugar be λ : 1

So, the cost price of the resultant mixture would be

30λ + 45/λ + 1.

Given that mixture is sold at 20 % profit, so selling price would become

(30λ + 45/λ + 1)(1 + 20/100) = 6/5*(30λ + 45/λ + 1)

But given that selling price of the mixture is Rs 42

So, 6/5*(30λ + 45/λ + 1) = 42

(30λ + 45/λ + 1) = 35

30λ + 45  = 35λ + 35

5λ = 10

λ = 2

Hence , in the ratio of 2 : 1 both the types of sugar should be mixed.

Hope, it helps !