Question

A total of Rs 84,000 is invested in a business. Investment of A is Rs 4000 less than that of B and Bs investment is Rs 4000 less than that of C. If A invested his amount for 5 months and B and C each for 4 months, then out of total profit if Rs 63,000 what is the share of A?

Answer 1

Let C's investment is Rs $x$

B's investment is $=(x-4000)$Rs

A's investment is $=(x-4000-4000)=(x-8000)$ Rs

So $(x-8000)+(x-4000)+\left(x\right)=84000$ Rs

$3x-12000=84000$ Rs

$x=32000$ Rs.

So ratio of shares of profit of A : B : C is:

$\Rightarrow 24000\times 5:28000\times 4:32000\times 4$

$\Rightarrow 15:14:16$

Total annual profit is Rs $63,000$.

Thus, profit share of A is,

$\Rightarrow \frac{15}{15+14+16}\times 63000$

$\Rightarrow \frac{15}{45}\times 63000$

$\Rightarrow 21000$ Rs

Thus, profit share of A is $21000$ Rs