Question

Aditya, Sonal and Nutan contributed $Rs.$ $50,000$ for business. Aditya contributed $Rs.$ $4000$ more than Sonal and Sonal contributed $Rs.$ $5,000$ more than Nutan. Out of total profit of $Rs$ .$70,000$ how much did Aditya receive?

• A. $Rs.$ $16,000$
• B. $Rs.$ $18,000$
• C. $Rs.$ $20,000$
• D. $Rs.$ $29400$

Answer 1

The correct option is D $Rs.$ $29400$

Let us assume that Nutan contributed Rs. $x$.

Hence sonal contributed Rs $x+5000$

and Aditya $x+5000+4000=$ Rs $x+9000$

Total investment $=$ Rs $50000.$

Hence $x+x+5000+x+9000=50000$

$3x+14000=50000$

$3x=36000\Rightarrow x=12000.$

$Aditya\to 21000$

$Sonal\to 17000$

$Nutan\to 12000$

There ratio $=21:17:12.$

Aditya's profit $=\frac{21}{50}\times 70000$

$=21\times 1400$

$=29400$

$\therefore$ Aditya's profit in Rs $=29400$