| 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 |
A) Rs. 5.30
B) Rs. 4.68
C) Rs. 6.55
D) None of these
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, |
| \[\frac{7.80}{x}-\frac{7.80}{13x/10}=6\] |
| \[\Rightarrow \] \[\frac{7.80}{x}-\frac{7.80\times 10}{13x}=6\] |
| \[\Rightarrow \] \[7.8\,\left( \frac{13-10}{13x} \right)=6\] |
| \[\Rightarrow \] \[x=\frac{7.8\times 3}{13\times 6}=Rs.\,0.3\] |
| \[\therefore \] Present rate of eggs per dozen = 130% of \[0.3\times 12\] |
| \[=\frac{130}{100}\times 0.3\times 12=Rs.\,4.68\] |
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