Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is

The correct option is A.

We are given two profit ratios:

1) $C_1:C_2:C_3=9:10:8$

2) $C_2:C_4:C_5=18:19:20$

To combine these ratios, we find a common value for $C_2$. The value of $C_2$ in the first ratio is 10, and in the second ratio is 18. The Least Common Multiple (LCM) of 10 and 18 is 90.

Multiply the first ratio by 9:
$C_1:C_2:C_3=81:90:72$

Multiply the second ratio by 5:
$C_2:C_4:C_5=90:95:100$

Now we can write the combined ratio for all five companies:
$C_1:C_2:C_3:C_4:C_5=81:90:72:95:100$

Let the profits of the companies be $81x$, $90x$, $72x$, $95x$, and $100x$ respectively.

We are given that $C_5$ has made a profit of Rs 19 crore more than $C_1$:
$100x-81x=19$
$19x=19\Rightarrow x=1$

The total profit made by all five companies is:
$\text{Total Profit}=81x+90x+72x+95x+100x=438x$
$\text{Total Profit}=438\times 1=438\text{crore}$