Given 2 3A x y z   . If x increases by 6300%, y increases by 700% and z increases by 300%, thenwhat is the percentage increase in the value of A?(a) 1200% (b) 1800% (c) 2600% (d) 3300% (e) 6300%

To find the percentage increase in the value of A, we need to calculate the new value of A after the increases in x, y, and z.

Let's start with the given equation: 2A = 3x + y + z.

If x increases by 6300%, we can calculate the new value of x by multiplying it by 1 + (6300/100) = 64.

Similarly, if y increases by 700%, the new value of y can be found by multiplying it by 1 + (700/100) = 8.

And if z increases by 300%, the new value of z can be found by multiplying it by 1 + (300/100) = 4.

Now, we can substitute the new values of x, y, and z into the equation: 2A = 3(64) + 8 + 4.

Simplifying this equation, we get: 2A = 192 + 8 + 4 = 204.

To find the new value of A, we divide both sides of the equation by 2: A = 102.

The percentage increase in the value of A can be calculated by finding the difference between the new value of A (102) and the original value of A (1), dividing it by the original value of A (1), and then multiplying by 100.

So, the percentage increase in the value of A is ((102 - 1) / 1) * 100 = 10100%.

Therefore, the correct answer is (e) 6300%.