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

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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.,$P = C \times T$.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.

Competitive Quantitative Aptitude Ratio and Proportion Partnership

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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.

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

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Ratio and Proportion

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Partnership

$A$ began a business with ₹ $85000$. He was joined afterwards by $B$ with ₹ $42500$. For how much period (in months) does $B$ join,if the profits at the end of the year are divided in the ratio of $3:1$?

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Three partners shared the profit in a business in the ratio $5: 7: 8$. They had partnered for $14$ months,$8$ months,and $7$ months respectively. What was the ratio of their investments?

Medium

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$A$ and $B$ started a business in partnership investing ₹ $20000$ and ₹ $15000$ respectively. After six months,$C$ joined them with ₹ $20000$. What will be $B$'s share in the total profit of ₹ $25000$ earned at the end of $2$ years from the starting of the business? (In ₹)

Medium

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$A$, $B$ and $C$ invested capitals in the ratio $3: 5: 9$; the timing of their investments being in the ratio $2: 3: 1$. In what ratio would their profits be distributed?

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$A$ and $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?

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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.

Similar Questions

$A$ began a business with ₹ $85000$. He was joined afterwards by $B$ with ₹ $42500$. For how much period (in months) does $B$ join,if the profits at the end of the year are divided in the ratio of $3:1$?

Three partners shared the profit in a business in the ratio $5: 7: 8$. They had partnered for $14$ months,$8$ months,and $7$ months respectively. What was the ratio of their investments?

$A$ and $B$ started a business in partnership investing ₹ $20000$ and ₹ $15000$ respectively. After six months,$C$ joined them with ₹ $20000$. What will be $B$'s share in the total profit of ₹ $25000$ earned at the end of $2$ years from the starting of the business? (In ₹)

$A$, $B$ and $C$ invested capitals in the ratio $3: 5: 9$; the timing of their investments being in the ratio $2: 3: 1$. In what ratio would their profits be distributed?

$A$ and $B$ enter into a partnership with capitals in the ratio $5: 6$. At the end of $8$ months,$A$ withdraws. If they receive profits in the ratio $5: 9$,find how long $B$'s capital was used (in months)?

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