(A) Let the investments of $A, B,$ and $C$ be $I_A, I_B,$ and $I_C$ respectively.According to the problem:$3 I_A = 4 I_B \implies I_A = \frac{4}{3} I_

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(A) Let the investments of $A, B,$ and $C$ be $I_A, I_B,$ and $I_C$ respectively.According to the problem:$3 I_A = 4 I_B \implies I_A = \frac{4}{3} I_B$$I_B = 2 I_C \implies I_C = \frac{1}{2} I_B$The ratio of their investments is $I_A : I_B : I_C = \frac{4}{3} I_B : I_B : \frac{1}{2} I_B$.To simplify,multiply by $6$:Ratio $= 8 : 6 : 3$.Since the profit is distributed in the ratio of investments,the ratio of their shares is $8 : 6 : 3$.

Competitive Quantitative Aptitude Ratio and Proportion Partnership

Medium

$A, B$ and $C$ together start a business. Three times the investment of $A$ equals four times the investment of $B$ and the capital of $B$ is twice that of $C$. The ratio of the share of each in the profit is

A
$8: 6: 3$
B
$3: 8: 6$
C
$3: 6: 8$
D
$8: 3: 6$

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Ratio and Proportion

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Partnership

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

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$A$ and $B$ jointly invest ₹ $2100$ and ₹ $3100$ in a firm. $A$ is an active partner,hence he receives $25 \%$ of the profit separately. If their business yields ₹ $1040$ as profit,what will be the profit share for each of them?

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$A$ starts a business with an investment of ₹ $3500$. Five months later,$B$ joins $A$ as a partner. After a year,the profits are divided in the ratio of $2:3$. How much did $B$ contribute (in ₹)?

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Mahesh and Kishore started a business by investing $Rs. 60,000$ and $Rs. 50,000$ respectively. If after $1$ year they earned a profit of $Rs. 33,000$,what will be Kishore's share (in $,000$)?

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$P, Q$ and $R$ invested their capital in the ratio of $8:6:5$. At the end of the business,they received the profit in the ratio of $1:3:5$. Find the ratio of time for which they contributed their capital.

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$A, B$ and $C$ together start a business. Three times the investment of $A$ equals four times the investment of $B$ and the capital of $B$ is twice that of $C$. The ratio of the share of each in the profit is

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$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

$A$ and $B$ jointly invest ₹ $2100$ and ₹ $3100$ in a firm. $A$ is an active partner,hence he receives $25 \%$ of the profit separately. If their business yields ₹ $1040$ as profit,what will be the profit share for each of them?

$A$ starts a business with an investment of ₹ $3500$. Five months later,$B$ joins $A$ as a partner. After a year,the profits are divided in the ratio of $2:3$. How much did $B$ contribute (in ₹)?

Mahesh and Kishore started a business by investing $Rs. 60,000$ and $Rs. 50,000$ respectively. If after $1$ year they earned a profit of $Rs. 33,000$,what will be Kishore's share (in $,000$)?

$P, Q$ and $R$ invested their capital in the ratio of $8:6:5$. At the end of the business,they received the profit in the ratio of $1:3:5$. Find the ratio of time for which they contributed their capital.

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