Given information:
- The ratio of values of 25p, 50p and 1 rupee coins is 8:4:2.
- The total value of coins is 840.

To find:
- The total number of coins.

Solution:
Let the common ratio between the values of 25p, 50p and 1 rupee coins be x.
Then, the values of the coins can be expressed as 8x(25p), 4x(50p) and 2x(1 rupee).
We know that the total value of coins is 840. Therefore, we can write an equation as:
8x(25p) + 4x(50p) + 2x(1 rupee) = 840
Simplifying the equation, we get:
200x + 200x + 200x = 84000
Or, 600x = 84000
Or, x = 140

Now, we can calculate the values of each type of coin using the value of x:
- Value of 25p coin = 8x(25p) = 8*140*25p = 28000p
- Value of 50p coin = 4x(50p) = 4*140*50p = 28000p
- Value of 1 rupee coin = 2x(1 rupee) = 2*140*1 rupee = 280 rupees

We can see that the values of 25p and 50p coins are equal. Therefore, the number of coins of each type is also equal.
Let the number of each type of coin be y.
Then, we can write equations for the total value and total number of coins as:
- Total value: 28000y + 28000y + 280y = 84000p + 280rupees
- Total number: 8y + 4y + 2y = 14y

Simplifying the equations, we get:
- 56y = 84000 + 2800
- 14y = total number of coins

Solving for y, we get:
- y = 1500/28
- y ≈ 53.57

We know that the total number of coins is 14y.
Therefore, the total number of coins ≈ 14*53.57 ≈ 750

But, this is not one of the options given in the question.
We need to check for any errors in our calculations.

We can see that the total value of coins is 840. Therefore, the total value of each type of coin should be a multiple of its value.
Checking our calculations, we can see that:
- Value of 25p coin = 28000p = 11200p (multiple of 25p)
- Value of 50p coin = 28000p = 5600p (multiple of 50p)
- Value of 1 rupee coin = 280 rupees (multiple of 1 rupee)

Therefore, we made an error while calculating the total number of coins.
The correct calculation would be:
- y = 11200/28 = 400
- Total number of coins = 14y = 14*400 = 5600

Therefore, the correct answer is option D)