In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, find the dividend.

A sector area of 4%   is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the-

A whole number is added to 50 and the same number is subtracted from 50. The sum of the resulting numbers is 

 A can do a piece of work alone in 30 days. B is 25% less efficient than A, while C is $$33{1\over 3}$$ % more efficient than B. In how many days can A, B and C, working together, complete the work?

Two equal glasses filled with mixture of milk and water in the proportions of 2 : 1 and 1 : 1 respectively are emptied into a third glass. What is the proportion of milk and water in the third glass?

Ms. Deksha borrow Rs. 575 at 5 % per annum simple interest. What amount (in rupees) will she pay to clear her debt after 4 years?

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

If a shopkeeper buys 2 oranges for Rs.5 and sells 3 for Rs.7 only, then what percentage of loss and loss did he gain?