Question

Manick received Rs.6000 as his share out of the total profit of Rs. 9000 which he and Raunak earned at the end of one year. If Manick invested Rs. 20,000 for 6 months, whereas Raunak invested his amount for the whole year, what was the amount invested by Raunak

• A. Rs. 4000
• B. Rs. 5000
• C. Rs. 6000
• D. Rs. 10,000

Answer 1

The correct option is B Rs. 5000

Let Rainak invested $x$ Rs.
Total profit $=9000Rs.$
Manick received $=6000Rs.$
Raunak Received $=9000-6000=3000Rs.$
Manick's shares $=20000\times 6=120000$
Raunak 's shares $=12\times x=12x$
Then, $120000:12x::6000:3000$
$120000\times 3000=12x\times 6000$
$x=\frac{120000\times 3000}{12\times 6000}$
$x=5000Rs.$