Considering sale of A increased by 50% in 2006, sale of E increased by 10% and all other brands had no change in sales. Total sales in 2006 was 2,16,000. What was the sale of A in 2005 (approximately)?

Let the total sales in 2005 be 100x, then we can calculate the shares of each of the 5 computer brands A, B, C, D and E as follows:

Now, in 2006, sales of A went up by 50%, so sales of A in 2006 = 1.5 times sales of A in 2005 = $$1.5\times\ 45x=67.5x$$

And, sales of E increased by 10% , So sales of E in 2006 = 1.1 times sales of E in 2005 = $$1.1\times\ 22x=24.2x$$

The sales of B, C and D remain unchanged, hence we update the table by adding another column for 2006 and filling in the values as:

The total sales in 2006 is given to be 2,16,000 , which is 124.7x .

So, $$x=\frac{216000}{124.7}$$

We have to calculate the sales of A in 2005 , which is 45x = $$45\times\ \frac{216000}{124.7}=77947.07...\approx\ 77947\ $$.  So the correct answer is option C.