Others Maths Puzzle

Previously, the autorickshaw metres in Delhi showed 8 Rs for the first 900 m and then the reading increased by 35 paisa per 100 m. Recently, after the increase in fares, the metres show 10 Rs for the first 900 m and then the readings increase by 45 paisa per 100 m. What is the second whole number ( integer ) value of the fare that will be common to both the old and the new metres?

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Others Other Question
A number lock has a four-digit combination made by turning four wheels, each of which has the digits 0 through 9 in order. After 9 comes 0 again. Unfortunately, the lock is partially broken; each time you turn one of the four wheels, one of the adjacent wheels also turns. The correct combination to open the lock is 2000. From which of the following starting numbers is it possible to open the lock? More than one answer may be correct.

0000 1999 2001 3456 6543 7777 8161 8181 Tortoise travels uniformly 20 km a day. The hare, starting from the same point three days later to overtake the tortoise, travels at the uniform rate of 15 km the first day, at a uniform rate of 19 km the second day, and so forth in arithmetic progression. After how many days does the hare catches up with the tortoise?