Question : In what ratio should wheat at Rs. 32 per kg be mixed with wheat at Rs. 24 per kg so that, on selling the mixture at Rs. 39 per kg, there is a profit of 30%?
Option 1: 3 : 1
Option 2: 2 : 3
Option 3: 1 : 4
Option 4: 2 : 5
Correct Answer: 3 : 1
Solution :
At a profit of 30%, the selling price (SP) is Rs. 39.
Let the cost price (CP) of the mixture be Rs. $x$.
So, $\frac{130x}{100} = 39$
$\therefore$ CP = 30
By using the alligation rule,
Required ratio = (Mean value – Lower value) : (Higher value – Mean value)
$\therefore$ Required ratio = (30 – 24) : (32 – 30) = 6 : 2 = 3 : 1
Hence, the correct answer is 3 : 1.
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