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

Two numbers are less than the third number by 50% and 54% respectively. By how much per cent is the second number less than the first number? 

Vivek and Raja had some books whose ratio was 7: 9 and similarly the ratio of books of Abhishek and Raja was 7: 15, then tell us what was the ratio of books of Vivek and Abhishek?

A train running at a speed of 108 km / h crosses a pillar in 32 seconds. The length of the train (in meters) is:

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

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 Next 4 litres of the mixture are withdrawn, and again the vessel is filled with the same quantity of water.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:

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