Question : In what ratio, wheat at INR 23 per kg should be mixed with wheat at INR 14 per kg so that on selling the mixture at INR 20 per kg there is a profit of 25%?
Option 1: 5 : 7
Option 2: 3 : 5
Option 3: 2 : 3
Option 4: 2 : 7
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Correct Answer: 2 : 7
Solution :
Let the quantity of wheat priced INR 23 be $x$ kg and the quantity of wheat priced INR 14 be $y$ kg.
According to the question,
$\frac{100+25}{100}×(23x+14y)=20(x+y)$
$⇒23x+14y=16x+16y$
$⇒7x=2y$
$\therefore \frac{x}{y}=\frac{2}{7}$
Hence, the correct answer is 2 : 7.
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