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? 

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 Next 4 litres of the mixture are withdrawn, and again the vessel is filled with the same quantity of water.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

If a + b + c = 0, then a³+b³+c³ is equal to 

The 3rd and 8th term of an arithmetic  progression are 19 and 49 respectively. What is the 13th term?

A shopkeeper sold an item at a profit of 20 %. If he reduces the price of the item by Rs. 900, he incurs a loss of 10 %. What is the cost price of the item?

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?

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 :