Question

Two oils priced at ₹90 per kg and ₹150 per kg are blended and sold at ₹144 per kg, achieving a profit margin of 20%. What is the ratio of the two oils in the mixture ?

• A. 1 : 1
• B. 2 : 1
• C. 3 : 2
• D. 4 : 1

Answer 1

Answer:

A. 1 : 1

Let the cost price (CP) of the mixture be (C).

Find CP of mixture

Given profit = 20%, and selling price (SP) = ₹144:

$C = \frac{144}{1.2} = 120$

Apply alligation

Prices: ₹90 and ₹150
Mean price = ₹120

$\text{Ratio} = (150 - 120) : (120 - 90)$
= 30 : 30 = 1 : 1

Final Answer:

$\boxed{1 : 1}$