Direction: Study the following information to answer the questions.

In hotel B, the ratio of female customers on Tuesday and Friday was 2 : 3. If on Friday, female customers constituted 50% of the number of customers (male + female), then what was the number of customers (male + female) in hotel B on Friday?

B walks at a speed of 9 km/h and after 9 hours of its start, C follows him on his cycle at a speed of 18 km/h. At what distance from the starting point will C catch B?

What sum will amount to ₹ 7000 in 5 years at $$3{1\over3}\%$$ simple interest ? 

A trader allows a trade of 20% and a cash discount of $$6{1\over 4}\%$$% on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale? 

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

The value of (tan²A+ cot²A-2)- sec²A cosec² A is:

When a mobile is sold at 6 percent profit, it gets Rs. 870 more than it is sold at 6 percent loss. So what is the purchase price of mobile?

The marked price of an article is ₹ 500. It is sold at successive discounts of 20% and 10%. The selling price of the article (in rupees) is :