The time taken by a boat to cover a certain distance upstream is equal to 4/7 of the time taken by it to cover three times the same distance downstream. The speed of the stream is 7.5 km/h. How many (total) hours will the boat take to go 42 km upstream and 54 km downstream?

What is the equation of the perpendicular drawn from the point A (4, 1) to the line made by the the points B (2, -1) and C (6, 5)?

An article was sold for Rs.1,190 after allowing a discount of 15%. If 12.5% discount is given, then for how much should it be sold?

The monthly income of a person was Rs. 12,000 and his monthly expenditure was Rs. 10,000. In the next year, his income increased by 12% and his expenditure by 5%. Find the percentage increase in his savings.

Pipes A and B can fill a tank in 10 hours and x hours respectively. Pipe C alone can empty the full tank in 15 hours. When all the three pipes are opened simultaneously for 8 hours, 60% of the tank can be filled. In how many hours can pipes B and C together empty two-fifth of the tank?

A person invests Rs. K for 2 years at a simple interest rate of 10%. The total sum of money that the individual receives is divided in the ratio of 5:4. He then reinvest the first part for 2 years at a compound interest rate of 20%, and the other part for three years at a simple interest rate of 30%. What is the value of K if the total interest earned by the person from the two parts is Rs.9280?

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is four times that of a red ball, then the number of blue balls in the bag is

The distance between two pillars of length 16 m and 9 m is x meters. If two angles of elevation of their respective top from the bottom of the other are complementary to each other, then the value of x in meters is

The average age of Anil, Sheela and Rohit was 46 years at the time of marriage of the Rohit. If Rohit married with Nisha and after 2 year they become parents and after 5 years of their marriage, the average age of the all 5 members becomes 37.8 years. Find the age of the Nisha at the time of the marriage?