A and B started a business with investments of Rs 4000 and Rs 3000 respectively. After 6 months, B withdrew from the business. At the end of the year, the total profit was Rs 660. Find the share of profit (in Rs) received by A.

To find the share of profit received by A, we need to determine the ratio of the investments made by A and B over time.

Let's calculate the effective investment of A:
A started the business with Rs 4000 and stayed for the entire year (12 months).
$\text{Effective Investment of A}=4000\times 12=48000$

Now, let's calculate the effective investment of B:
B started the business with Rs 3000 and withdrew after 6 months.
$\text{Effective Investment of B}=3000\times 6=18000$

Next, we find the ratio of their profits, which is equal to the ratio of their effective investments:
$\text{Ratio of profits (A : B)}=48000:18000$
Simplifying this ratio by dividing both parts by 6000:
$\text{Ratio of profits (A : B)}=8:3$

The total profit at the end of the year is Rs 660.
The sum of the ratio parts is:
$8+3=11$

Now, we can calculate A's share of the profit:
$\text{Share of A}=\frac{8}{11}\times 660$
$\text{Share of A}=8\times 60=480$

Therefore, the share of profit received by A is Rs 480.