Atul divides some money among his three children A, B and C. The ratio of amount received by A and C together to the amount received by B is 5:2. C received 150% of the amount received by A. If the amount received by C is Rs. 1500. Find the sum of amount received by A and B together. 

simplify the following equation
$$ (1-{1\over3})(1-{1\over4})(1-{1\over5})......(1-{1\over n})$$

Which of the following values suits for A to make the equation  $$ {{ATan62°Sec 28°Cot 38°}\over {Cosec62°Tan11°}}=1$$ ?

A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?

A certain number of men can complete a work in 17 days working 8 hour a day. If the number of people is decreased to 60%. Then, find in how many hrs in a day should the remaining people work to complete the work in 51/2 days?

A man sells an article at 5 % above its cost price. If he had bought it at 5 % less than what he had paid for it and sold it at Rs. 2 less, he would have gained 10 %. The cost price of the article is 

The average weight of five persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat?

The difference between the compound and the simple interest on a sum for 2 years at 10 % per annum , when the interest is compounded annually, is Rs.28. If the yearly interest were compounded half yearly, the difference in the two interests will be