Question : Due to a 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs. 162. The original rate per dozen eggs was:
Option 1: Rs. 22
Option 2: Rs. 24
Option 3: Rs. 27
Option 4: Rs. 30
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Correct Answer: Rs. 27
Solution :
Given:
Due to a 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs. 162
Let the original rate per dozen eggs be Rs. $100x$.
Now, after a 25% fall, the new rate is ($100x - 25x$) = Rs. $75x$
According to the question
$\frac{162}{75x}-\frac{162}{100x}=2$
⇒ 162 × $\frac{(100-75)}{7500x}$ = 2
⇒ $100x$ = $\frac{162×25}{75×2}$
⇒ $100x$ = 27
Therefore, the original rate per dozen was = Rs. 27
Hence, the correct answer is Rs. 27.
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