The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19. Find the first term

The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:

Rectangle ABCD is formed in a circle with centre D. IF AE=6 cm and AD=9 cm, then find the perimeter of the rectangle.

If a man purchase 11 articles for Rs.10 and sold all the articles at the rate of 10 for Rs.11, the profit percentage will be.

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is 

Shrikant and Vividh started a business investing amounts of Rs 185000 and Rs 225000 respectively. If Vividh's share in the profit earned by them is Rs 9000 what is the total profit earned by them together ?

A person bought pens at 25 for a rupee and sold at 15 for a rupee. What is his profit percentage?