Quantitative Aptitude Ques 472

Question: Due to an increase of 30% in the price of eggs, 6 eggs less are available for Rs. 7.80. The present rate of eggs per dozen is

Options:

A) Rs. 5.30

B) Rs. 4.68

C) Rs. 6.55

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the original price per egg be Rs. x. Then, increase price $ =x+\frac{30}{100}\times x=\frac{13x}{10} $ According to the question, $ \frac{7.80}{x}-\frac{7.80}{13x/10}=6 $

$ \Rightarrow $ $ \frac{7.80}{x}-\frac{7.80\times 10}{13x}=6 $

$ \Rightarrow $ $ 7.8,( \frac{13-10}{13x} )=6 $

$ \Rightarrow $ $ x=\frac{7.8\times 3}{13\times 6}=Rs.,0.3 $

$ \therefore $ Present rate of eggs per dozen = 130% of $ 0.3\times 12 $ $ =\frac{130}{100}\times 0.3\times 12=Rs.,4.68 $