Question

Sumit, Punit, and Ramit started a business by investing their capitals in the ratio of 1:2:3. At the end of the business term, they received their shares of profit in the ration of 1:2:3. Find out the ratio of time for which they invested their capitals?

• A. 1:1:1
• B. 2:3:4
• C. 2:4:3
• D. None of these

Answer 1

The correct option is A 1:1:1

We have $C_1:C_2:C_3=1:2:3$
and $P_1:P_2:P_3=1:2:3$
$\therefore$ Required ratio $=\frac{P_1}{C_1}:\frac{P_2}{C_2}:\frac{P_3}{C_3}=\frac{1}{1}:\frac{2}{2}:\frac{3}{3}$
or, 1:1:1.
Thus, Sumit, Punit and Ramit invested their capitals for equal period of time.