Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The cost price of type I grain is ₹ 40 per kg and that of type II is ₹60 per kg. If both types of grains are mixed in the ratio 3 : 2 respectively then find the price per kg of the mixed grain.

Options:

₹ 52

₹ 48

₹ 54

₹ 46

Correct Answer:

₹ 48

Explanation:

The correct answer is Option (2) → ₹48

$\text{Price of type I} = 40,\;\; \text{Price of type II} = 60$

$\text{Ratio} = 3:2$

$\text{Mean price} = \frac{40 \cdot 3 + 60 \cdot 2}{3 + 2}$

$= \frac{120 + 120}{5}$

$= \frac{240}{5} = 48$

The price per kg of the mixture is ₹48.