Sanjay and Sanjeev started a business by investing money in the ratio 5 : 3. After 3 months, Manish joined them by investing an amount equal to the amount invested by Sanjeev. At the end of the year the business has a profit of Rs.82,000. The profit (in Rs.) of Manish is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 18,000
Sanjay's Investment = $5x$
Sanjeev's Investment = $3x$
CM = Capital Months = Investment × Time
Sanjay's CM = $5x × 12 = 60x$
Sanjeev's CM = $3x × 12 = 36x$
Manish's CM = $3x × 9 = 27x$
CM Ratio = $60x : 36x : 27x$
$= 20:12:9$
∴ Manish's Share = $\frac{9}{41}×82,000=18,000$