Final answer:
By setting up equations based on the reduction of price and increase in egg quantity that can be bought with Rs 66, it has been determined that the original price of a dozen eggs was Rs 5 or 500 paise.
Step-by-step explanation:
The original price of the eggs can be calculated by setting up an equation based on the information given. If the price is reduced by 50 paise per dozen, and as a result, one can purchase an additional dozen eggs with Rs 66, we can express the reduced price as the original price minus 50 paise. Let the original price of a dozen eggs be x paise.
According to the problem, when the price is reduced by 50 paise, Rs 66 can buy one more dozen:
- x paise per dozen × number of dozens = 6600 paise (since Rs 66 are 6600 paise)
- (x - 50) paise per dozen × (number of dozens + 1) = 6600 paise
By solving these two equations, we can find the original price. The result is that the original price of a dozen eggs was Rs 5 or 500 paise per dozen.