Sumit,Punit,and Ramit started a business by i | vedclass

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(A) We know that the profit share $P$ is given by the product of capital $C$ and time $T$,i.e.,$P = C 	imes T$.Therefore,the ratio of time $T$ is giv

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$1: 1: 1$

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(A) We know that the profit share $P$ is given by the product of capital $C$ and time $T$,i.e.,$P = C 	imes T$.Therefore,the ratio of time $T$ is given by $T = P / C$.Given,the ratio of capitals $C_1 : C_2 : C_3 = 1 : 2 : 3$.Given,the ratio of profits $P_1 : P_2 : P_3 = 1 : 2 : 3$.Thus,the ratio of time is $T_1 : T_2 : T_3 = (P_1 / C_1) : (P_2 / C_2) : (P_3 / C_3)$.Substituting the values,we get $T_1 : T_2 : T_3 = (1 / 1) : (2 / 2) : (3 / 3) = 1 : 1 : 1$.Hence,Sumit,Punit,and Ramit invested their capitals for an equal period of time.

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 ratio of $1: 2: 3$. Find out the ratio of time for which they invested their capitals.

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