If a + b + c=15, abc=120 and (ab+bc+ca)=74, then the value of a³+b³+c³=?

In an election between two candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 9261 votes which were 75% of the valid votes. The total number of voters enrolled in that election was:

A DVD player was purchased for Rs 4860. At what price should it be sold so that 25% profit is earned?

The ratio of the present age of P and Q is 2: 3. The ratio of their age after 18 years will be 4: 5. What is the present age of Q?

A vessel contains 20 litres of acid. 4 is taken out of the vessel and replaced by the same quantity of water. Next 4 litres of the mixture are withdrawn, and again the vessel is filled with the same quantity of water. Then find the ratio of acid left in the vessel with the quantity of acid initially in the vessel is:

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x-y = -1 and 3x-2y = 0?

A sample of 50 litres of glycerine is found to be adulterated to the extent of 20 % . How much pure glycerine should be added to it so as to bring down the percentage of impurity to 5 %? 

75 gm of sugar solution has 30 % sugar in it. Then the quantity of sugar that should be added to the solution to make the quantity of the sugar 70% in the solution is :