Find the compound interest on a sum of Rs. 46875 for 2 years at 12% p.a, if interest is compounded 8 months?

A shopkeeper bought 80 pens in Rs. 400. He sold 40 pens at 60% profit and sold the remaining pens at 20% profit. If he had sold all the pens at a 15% profit, how much less profit would he have made?

In 16 minutes, the minute had gains over the hour hand by

A started a business with a capital of Rs.1,12,000. After 2 months, B joined the business with a capital of Rs.80,000 and after another 2 months, C joined the business with a capital of Rs.72,000. After 10 months from the start of the business, B withdrew Rs.8,000 and C also with drew Rs.8,000. If B received Rs.9,800 as his share in the profit at the end of a year, then the total profit was:

There is a loss of 5% by selling an article for Rs.665. In order to get 12% profit on that article, its selling price has to be kept?

A man starts from his house with a speed of 60 km/hr towards a temple 45 km away from his house, but after every 10 minute he decrease his speed by 6 km/hr. Find the time required by him to reach the temple. 

A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is – 

Simplify the following equation
$$ {\sqrt{(1-sin^{2}θ) ÷{(1-cos^{2}θ)}}}$$