| When the price of eggs is reduced by 20%, it enables a man to buy 20 more eggs for Rs. 40. The reduced price per egg is |
A) 35 paise
B) 40 paise
C) 50 paise
D) 56 paise
Correct Answer: B
Solution :
| Let original rate be Rs. x per egg. |
| New rate = 80% of \[x=Rs.\frac{4x}{5}\] |
| Original quantity for \[Rs.\,40=\frac{40}{x}\] |
| New quantity \[=40\times \frac{5}{4x}=\frac{50}{x}\] |
| \[\therefore \]\[\frac{50}{x}-\frac{40}{x}=20\]\[\Rightarrow \]\[\frac{10}{x}=20\]\[\Rightarrow \]\[x=\frac{10}{20}=\frac{1}{2}\] |
| \[\therefore \] Reduced price = 80% of \[Rs.\,\frac{1}{2}=\frac{4}{5}\times \frac{1}{2}\] |
| \[=Rs.\,\,\frac{2}{5}=\frac{2}{5}\times 100=40\,paise\] |
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