Two woman together took 100 eggs to a market, one had more than the other. Both sold tham for the same sum of the money. The first then said to the second, "If 1 had your eggs, I would have earned ₹15", to which the second replied: "If 1 had your eggs, I would have earned ₹`6(2)/(3)`?. How many eggs did each had in the beginning?

In a competitive exam, 3 marks are awarded for every correct answer and for every wrong answer, I mark will be deducted. Madhu scored 40 marks in this exam. Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks. If Madhu has attempted all questions, how many questions were there in the test?