A, B, C are partners in a business. During a particular year, A received one third of profit, B rece

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7.Profit and Loss

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$A, B, C$ are partners in a business. During a particular $year,$ A received one third of the profit, $B$ received $\frac{1}{4}$ of the profit and $C$ received the remaining $Rs.\, 5000$ How much amount of money did A receive? (in $Rs.$)

A

$1000$

B

$3000$

C

$4000$

D

$5000$

Solution

Amount received by $C$

$=$ Total profit $\times\left(1-\frac{1}{3}-\frac{1}{4}\right)$

$=$ Total profit $\times \frac{5}{12}$

Now, according to the question,

$\Rightarrow 5000=\frac{5}{12} \times$ Total profit

$\Rightarrow$ Total profit $=₹ 12000$

$\therefore$ The amount received by $A$

$=\frac{12000}{2}=Rs. 4000$

Standard 13

Quantitative Aptitude

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