Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

In what ratio should a shopkeeper mix two types of rice, one costing ₹20 per kg and another costing ₹40 per kg to get a rice variety costing ₹28 per kg?

Options:

3 : 5

3 : 2

3 : 4

4 : 3

Correct Answer:

3 : 2

Explanation:

The correct answer is Option (2) → 3 : 2

$\text{Let the two types of rice cost }20\text{ and }40\text{ per kg.}$

$\text{Mean price }=28$

$\text{Use alligation: }$

$40-28=12,\quad 28-20=8$

$\text{Required ratio}=12:8$

$=\;3:2$

The rice must be mixed in the ratio $3:2$.