Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The ratio in which a grocer must mix two varieties of tea worth ₹60 per kg and ₹65 per kg by selling the mixture at ₹68.20 per kg he may gain 10% is:

Options:

2 : 3

3 : 4

3 : 2

4 : 3

Correct Answer:

3 : 2

Explanation:

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

Since there is a 10% profit, the cost price:

Cost Price (CP) = $\frac{68.2}{1.1}=62/kg$

Applying rule of allegation,

$\text{Ratio}=\frac{\text{Higher price-Mean price}}{\text{Mean price-Lower price}}$

$=\frac{65-62}{62-60}=\frac{3}{2}$