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?

Directions: Find the wrong number in the following number series:

0.5, 2, 1, 4, 32, 512, 16384

Direction: Study the following table carefully to answer these questions.

What is the average number of students appeared from all the schools in 2007?

A person invests money in three different schemes 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is

The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

Direction: A shopkeeper has some kg. rice of same price. He sold 150 kg. rice at 25 Rs. per kg. and earned a profit of 25%, another 180 kg. rice is sold at a profit of 20% and rest are sold at a loss of 10%. If the shopkeeper earns Rs. 1230 profit on all the rice that he has sold then answers the following question:

If the shopkeeper earns 10% profit instead of 10% loss on the rest rice then find the difference between the old and new profit. 

If $$ {x^{12}+x^{3}\over {x^{6}}}=0$$ find $$ {x^{36}+{1\over x^{36}}}$$

Due to 20% reduction in the price of wheat, a person can buy 10 kg more wheat than before for Rs 600, what is the price of wheat after the decrease in the price?