Question

A invests with B some rupees and B invested Rs 25,000. After 4 months A increase his investment with Rs 6000. If at the end of the year A and B have a profit of Rs 2400 and Rs 2500 respectively, find the sum invested by A

Answer 1

Let A's initial investment be $x$ Rs.

Thus total sum invested by A in one year $=x\times 4+(x+6000)\times 8$ Rs $=12x+48000$ Rs

As per the given condition,

$\Rightarrow \frac{12x+48000}{25000\times 12}=\frac{2400}{2500}$

$\Rightarrow \frac{12x+48000}{25000\times 12}=\frac{24}{25}$

$\Rightarrow 300x+48000\times 25=24\times 25000\times 12$

$\Rightarrow 300x=6000000$

$\Rightarrow x=20000$

Total amount invested by A $=20000\times 4+26000\times 8=2,88,000$ Rs.