(A) Let the shares of $A, B,$ and $C$ be $A, B,$ and $C$ respectively.Given that $A + B + C = 366$ (Equation $1$).According to the problem,$A = \frac{

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(A) Let the shares of $A, B,$ and $C$ be $A, B,$ and $C$ respectively.Given that $A + B + C = 366$ (Equation $1$).According to the problem,$A = \frac{1}{2}(B + C)$,which implies $2A = B + C$ (Equation $2$).Substituting Equation $2$ into Equation $1$: $A + (B + C) = 366 \Rightarrow A + 2A = 366 \Rightarrow 3A = 366 \Rightarrow A = 122$.Thus,the share of $A$ is $Rs. 122$.

Competitive Quantitative Aptitude Ratio and Proportion Ratio and Proportion

Medium

$Rs. 366$ are divided among $A, B$ and $C$ such that $A$ gets $\frac{1}{2}$ as much as $B$ and $C$ together,and $B$ gets $\frac{2}{3}$ as much as $A$ and $C$ together. What is the share of $A$ (in $Rs.$)?

A
$122$
B
$129.60$
C
$146.60$
D
$183$

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Ratio and Proportion

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Ratio and Proportion

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$Rs. 366$ are divided among $A, B$ and $C$ such that $A$ gets $\frac{1}{2}$ as much as $B$ and $C$ together,and $B$ gets $\frac{2}{3}$ as much as $A$ and $C$ together. What is the share of $A$ (in $Rs.$)?

Similar Questions

The flight fare between two cities is increased in the ratio $9:11$. What is the increase (in ₹) in the fare,if the original fare was ₹ $18,000$?

Ram got twice as many marks in English as in Science. His total marks in English,Science,and Mathematics are $180$. If the ratio of his marks in English and Mathematics is $2:3$,what are his marks in Science?

An amount of $Rs. 735$ was divided between $A, B$ and $C$. If each of them had received $Rs. 25$ less,their shares would have been in the ratio of $1:3:2$. The money received by $C$ was

₹ $600$ is divided among $A, B$ and $C$. If $\frac{2}{5}$ of $A$'s share plus ₹ $40$,$\frac{2}{7}$ of $B$'s share plus ₹ $20$,and $\frac{9}{17}$ of $C$'s share plus ₹ $10$ are all equal,then $A$'s share is (in ₹):

₹ $120$ is divided among $6$ men, $8$ women and $6$ boys so that a man gets as much as $2$ boys and $2$ women get as much as $3$ boys. Find the share of a boy (in ₹).

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