Let P be the principal. CI = P[(1 + r)^n - 1] = P[(1 + 0.08)^2 - 1] = P[0.1664]. Thus, 320 = P * 0.1664, P = $5000.

New area = (2 × length) × (width/2) = length × width = original area. Area doubles.

Let the number of years be x. In x years, the father's age will be 45 + x and the son's age will be 15 + x. The equation is 45 + x = 2(15 + x), which simplifies to 45 + x = 30 + 2x, so x = 15.

Let x years ago, grandfather's age was 80 - x and grandson's age was 20 - x. We need 80 - x = 3(20 - x). Solving gives x = 10.

Let the son's age be x. Then the man's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Let the son's age be x. Then the man's age is 4x. In 5 years, 4x + 5 = 3(x + 5). Solving gives x = 10.

If the daughter is 5 years old, then the mother is 4 * 5 = 20 years old.

The mother is currently 4 * 5 = 20 years old. In 5 years, she will be 20 + 5 = 25 years old.

The son's age is 10. Therefore, the woman's age is 2 * 10 + 5 = 20 + 5 = 25.

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

If D is 8 years old, then C is 3 * 8 = 24 years old.

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

If D is 12 years old, then C is 12 + 4 = 16 years old.

Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E's age is 25 + 5 = 30.

Face Value = Present Value + BD = 7200 + 800 = Rs. 8000.

Principal = Present Value + Bankers Discount = 4500 + 500 = $5000.

Rate = (Bankers Discount × 100) / (Principal × Time) = (2250 × 100) / (15000 × 1) = 15%.

Area = π × radius² = (22/7) × (7 cm)² = 154 cm².

Let the number of boys be 3x and girls be 2x. Then, 3x + 2x = 30, which gives 5x = 30, so x = 6. Therefore, the number of girls is 2x = 12.

Let the number of boys be 3x and girls be 4x. Given 4x = 28, we find x = 7. Thus, boys = 3x = 3*7 = 21.

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25, hence A = 35.

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25. Therefore, A is 35 and B is 25.

Banker's Discount = True Discount * (1 + (Rate * Time)) = 150 * (1 + (10 * 5/12)) = Rs. 200.

April has 15 days left after April 15. 100 - 15 = 85 days left. May has 31 days, June has 30 days, and July has 24 days. 15 + 31 + 30 + 24 = 100. So, the date will be July 25.

50 days = 7 weeks + 1 day. Therefore, it will be Saturday, which is 1 day after Friday.

From July 4 to July 31 is 27 days. August has 31 days, September has 30 days, October has 31 days, November has 30 days, December has 31 days, and January has 31 days. 27 + 31 + 30 + 31 + 30 + 31 + 20 = 200 days. Thus, it will be January 20, 2024.

March has 31 days, so from March 15 to March 31 is 16 days. April has 30 days, May has 31 days, and June has 30 days. 16 + 30 + 31 + 23 = 100 days. Therefore, the date will be June 24, 2023.

From October 10 to October 31 is 21 days. November has 30 days. 50 - 21 = 29 days left in November. Thus, it will be November 30, 2023.

The maximum number of days in a month is 31. If today is the 15th, there are 31 - 15 = 16 days left.

31 days = 4 weeks + 3 days. Therefore, the day on the 31st will be three days later than the 1st.