B is 20% more efficient than A. A started the work and work for x days and then A is replaced by B. B completed the remaining work in x+8 days. Ratio of the work done by A and B is 2:3. In how many days A and B working together can complete the whole work?

In an isosceles triangles ABC, AB=AC the median drawn on the same arms are perpendicular to each other find AB/BC?

In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings? 

At what annual percentage rate, 10 years of simple interest on an amount will be $$ {2\over 5}$$ of the addition?

Speed of boat in still water is 9 km/hr. Stream speed initially is 2 km/hr but it increases by 3 km/hr after every hour. Find the time after which boat will come back to the position where it started.(in hour)

Directions: Following is the pie-chart showing the spending of a family on various items in a particular year

Study the pie chart and answer questions

If the difference in the amount spent for buying clothes and house maintenance was ₹ 1,500, how much they spent for house maintenance?

A, B and Center into a partnership with capitals in the ratio 5: 6: 8. At the end of the business term, they received the profit in the ratio 5: 3: 12. Find the ratio of time for which they contributed their capitals? 

If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$.