A trader bought 10 kg of apples for Rs. 405 out of which 1 kg of apples were found to be rotten. If he wishes to make a profit of 10 % at what rate should he sell the remaining apples per kg? 

Study the following graph and answer the question that follow.
What is the respective ratio between the number of candidates who have failed from institute B and the number of candidates who have appeared from institute F?

The strength of a school increases and decreases in every alternate year by 10 %. It started with increase in 2000, then the strength of the school in 2003 as compared to that in 2000 was : 

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?

Which number among the following does not belong to the series 8, 27, 50, 125, 343?

Two years ago, the average age of Ram and Shyam was 26 years. Five years hence, the age of Ram will be 40 years and Shyam is 5 years younger than Mohan, then find the difference between the age of Ram and Mohan.

Some amount out of Rs.7000 was lent at 6% per annum and the remaining at 4% per annum. If the total simple interest from both the fractions in 5 year was Rs.1600, find the sum lent at 6% per annum.