(D) Let the total profit earned by the business be $x$.Since $30\%$ of the profit is reinvested,the remaining profit distributed between $A$ and $B$ i

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(D) Let the total profit earned by the business be $x$.Since $30\%$ of the profit is reinvested,the remaining profit distributed between $A$ and $B$ is $70\%$ of $x$,which is $0.7x$.The ratio of investment is $5:8$,so the profit is also shared in the ratio $5:8$.$A$'s share $= \frac{5}{5+8} \times 0.7x = \frac{5}{13} \times 0.7x$.Given that $A$'s share is ₹ $87,500$,we have:$\frac{5}{13} \times 0.7x = 87,500$$0.7x = 87,500 \times \frac{13}{5}$$0.7x = 17,500 \times 13 = 227,500$$x = \frac{227,500}{0.7} = 325,000$.Thus,the total profit made by the business is ₹ $325,000$.

Competitive Quantitative Aptitude Ratio and Proportion Partnership

Medium

Two businessmen $A$ and $B$ invest in a business in the ratio $5:8$. They decided to reinvest $30\%$ of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If $A$'s share of the profit was ₹ $87,500$,then how much total profit (in ₹) did the business make (in $,000$)?

A
$227$
B
$250$
C
$375$
D
$325$

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Ratio and Proportion

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Partnership

In a business,$A$ and $C$ invested amounts in the ratio $2:1,$ whereas the ratio between amounts invested by $A$ and $B$ was $3:2$. If ₹ $1,57,300$ was their total profit,how much amount (in ₹) did $B$ receive?

Medium

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Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

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$A$ and $B$ invest in a business in the ratio $4:5$. After $10$ months,$B$ leaves the business after withdrawing his investment. In the first year,the business made a profit of ₹ $49,000$. What is $A$'s share (in ₹) of this profit?

Medium

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How many statements are required to find: What is the amount invested in Scheme $B$?
$I$. The amounts invested in Schemes $A$ and $B$ are in the ratio of $2:3$.
$II$. The amount invested in Scheme $A$ is $40\%$ of the total amount invested.
$III$. The amount invested in Scheme $A$ is ₹ $45,000$.

Medium

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$A, B$ and $C$ entered into a partnership in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$. After $2$ months,$A$ withdraws half of his capital and after $10$ months,a profit of ₹ $378$ is divided among them. What is $B$'s share (in ₹)?

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In a business,$A$ and $C$ invested amounts in the ratio $2:1,$ whereas the ratio between amounts invested by $A$ and $B$ was $3:2$. If ₹ $1,57,300$ was their total profit,how much amount (in ₹) did $B$ receive?

Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

$A$ and $B$ invest in a business in the ratio $4:5$. After $10$ months,$B$ leaves the business after withdrawing his investment. In the first year,the business made a profit of ₹ $49,000$. What is $A$'s share (in ₹) of this profit?

How many statements are required to find: What is the amount invested in Scheme $B$?$I$. The amounts invested in Schemes $A$ and $B$ are in the ratio of $2:3$.$II$. The amount invested in Scheme $A$ is $40\%$ of the total amount invested.$III$. The amount invested in Scheme $A$ is ₹ $45,000$.

$A, B$ and $C$ entered into a partnership in the ratio $\frac{1}{2}: \frac{1}{3}: \frac{1}{4}$. After $2$ months,$A$ withdraws half of his capital and after $10$ months,a profit of ₹ $378$ is divided among them. What is $B$'s share (in ₹)?

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How many statements are required to find: What is the amount invested in Scheme $B$?
$I$. The amounts invested in Schemes $A$ and $B$ are in the ratio of $2:3$.
$II$. The amount invested in Scheme $A$ is $40\%$ of the total amount invested.
$III$. The amount invested in Scheme $A$ is ₹ $45,000$.