If the interest is compounded half-yearly, then what will be the compound interest (in Rs) on a sum of Rs 10000 for 1 year at the rate of 10% per annum?

If the sum of first three natural numbers from a group of six consecutive natural numbers is 36, then the sum of last three natural numbers will be? 

Two trains are moving in the same direction at 75 km/hr. and 48 km/hr. The faster train crosses a man sitting in the slower in 14 second. Find the length of the faster train?

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is?

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

Simplify : $$ {5\over3}×{7\over51}\ of \ {17\over5}-{1\over3}\over {2\over9}×{5\over7}\ of \ {28\over5}-{2\over3}  $$

Directions: The Pie chart given here represents the domestic expenditure of a family in per cent. Study the chart and answer the following questions if the total monthly income of the family is ₹ 33,650.

A: Expenditure on food

B: Expenditure on house-rent

C: Expenditure on entertainment

D: Expenditure on education and maintenance of children

E: Medical and miscellaneous expenditure

F: Deductions towards provident fund

After provident fund deductions and payment of house rent, the total monthly income of the family remains

Reshmi and Rahul invested Rs. 6000 and Rs. 8000 in a business for 6 months and 8 months respectively. Rahul being an working partner earned 23/4% profit out of a total profit of Rs. 36000 and after this the rest of the profit was divided according to their investments. What is Rahul's profit amount?