The Ajmer express can move at 45 km./hr. without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km./hr., what is the greatest number of wagons with which the train can just move?

By what number, is the number of accidents that occurred in April is greater than the average number of Accidents that occurred during the 6 months period?

A sum is to be paid back in 3 equal annual instalments. The interest is compound annually at 30% per annum. If each instalment be Rs.21970 then what is the sum?

A number whose one - fifth part increased by 4 is equal to its one - fourth part diminished by 10 is: 

30 dozen walnuts were purchased for Rs. 14400 and 32 packets of walnuts (20 walnuts in each packet) were purchased for Rs. 57600. If a packet of Akharato was sold for five rupees in a pack at Rs. 432, what would be the profit percentage?

The average of nine consecutive odd numbers is 53. The least odd number is: 

A, B and C enter into a partnership. A invests Rs. 8000 for the whole year, B puts in Rs. 12000 at the first and increasing to Rs. 16000 at the end of 4 months, whilst C puts in at first Rs. 16000 but withdraw Rs. 4000 at the end of 9 months. Find the profit of A at the end of year, if the total profit is Rs. 22600.