Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Mixture and Alligation

Question:

Tea worth of  130 Rs./kg &  120 Rs./kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 150 per kg, the price of the third variety per kg will be ?

Options:

100

105

75

175

Correct Answer:

175

Explanation:

Since first second varieties are mixed in equal proportions, so their average

price = \(\frac{120 + 130}{2}\)=  125 Rs. 

So, Now the mixture is formed by mixing two varieties, one at Rs. 125 per kg

and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1.

\(\frac{x -150}{25}\)= 1  => x - 150 = 25  => x = 175 Rs.

 Hence, price of the third variety = Rs. 175 per kg.