Question

In a business, A and B invested Rs10,000 and Rs 11,000 respectively. After 4 months they both withdrew Rs 1000 from their respective investments. After a further of 6 months, A invested Rs 1000 more and B invested Rs 2000 more. What is the difference in the shares of both if Rs 54,450 is received as total profit after a year?

Answer 1

Ratio of shares of profit of A : B,

$\Rightarrow 10000\times 4+9000\times 6+10000\times 2:11000\times 4+10000\times 6+12000\times 2$

$\Rightarrow 10000\times 6+9000\times 6:11000\times 4+10000\times 6+12000\times 2$

$\Rightarrow 10\times 6+9\times 6:11\times 4+10\times 6+12\times 2$

$\Rightarrow 10\times 3+9\times 3:11\times 2+10\times 3+12$

$\Rightarrow 57:64$

Total profit earned $=54,450$ Rs.

Difference between the profits earned between A and B,

$\Rightarrow \frac{64-57}{57+64}\times 54450=3150$ Rs.