One fashion house has to make $810$ dresses and another one, $900$ dresses during the same period of time. In the first house, the order was ready $3$ days ahead of time and in the second house, $6$ days ahead of time. How many dresses did each fashion house make a day if the second house made $21$ dresses more a day than the first ?

If Sachin Tendulkar walks into bat after the fall of the fifth wicket and has to share partnerships with Ganguly, Kumble, Harbhajan, Srinath and Yohannan, who have batted normally, defensively, defensively, defensively and defensively, respectively in each of the five partnerships that lasted for$12,10,8,5,10$ overs, respectively, sharing strike equally with Ganguly and keeping two-thirds of the strike in his other four partnerships.

If India proceeded to win the match based on the runs scored by these last five partnerships (assuming that the last wicket pair remains unbeaten), what could be the minimum score at which Tendulkar could have come to bat?