Question

Shreya, Karan and Gautam started a business in partnership by investing Rs. 20,000. At the end of one year, Shreya, Karan and Gautam received Rs. 600, Rs. 1200 and Rs. 200 respectively as profit share. The amount of capital Shreya invested in the business was Rs. 6000. Is this statement true?

• A. Yes
• B. No
• C. Can't be determined
• D. Depends upon Gautam's share

Answer 1

The correct option is A

Yes

Total amount invested = Rs. 20000

The ratio of profits of Shreya, Karan and Gautam = 600 : 1200 : 200
$\Rightarrow$ 6 : 12 : 2
$\Rightarrow$ 3 : 6 : 1

As the ratio of profit = 3 :6 :1
Ratio of capital = 3 : 6 :1

Shreya's part in the capital = $20000\times \frac{3}{3+6+1}=20000\times \frac{3}{10}$ = Rs. 6000

Hence, the above statement is true.