(C) The investment ratio of $A : B : C$ is calculated based on the capital invested for the duration of $12$ months.$A$'s investment: $(16000 \times 3

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(C) The investment ratio of $A : B : C$ is calculated based on the capital invested for the duration of $12$ months.$A$'s investment: $(16000 \times 3) + (11000 \times 9) = 48000 + 99000 = 147000$.$B$'s investment: $(12000 \times 3) + (17000 \times 9) = 36000 + 153000 = 189000$.$C$'s investment: $21000 \times 6 = 126000$ (since $C$ joined after $6$ months total).Ratio $A : B : C = 147000 : 189000 : 126000 = 49 : 63 : 42$.Simplifying by dividing by $7$,we get $7 : 9 : 6$.Total parts = $7 + 9 + 6 = 22$.Share of $B$ exceeds $C$ by $(9 - 6) = 3$ parts.Difference = $\frac{3}{22} \times 26400 = 3 \times 1200 = ₹ 3600$.

Competitive Quantitative Aptitude Ratio and Proportion Partnership

Medium

$A$ and $B$ entered into a partnership investing ₹ $16000$ and ₹ $12000$ respectively. After $3$ months,$A$ withdrew ₹ $5000$ while $B$ invested ₹ $5000$ more. After another $3$ months,$C$ joined the business with a capital of ₹ $21000$. If the total profit after $1$ year is ₹ $26400$,by how much does the share of $B$ exceed that of $C$?

A
$2400$
B
$4800$
C
$3600$
D
$1200$

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Ratio and Proportion

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Partnership

Three partners invested a total of ₹ $114000$ in a business. At the end of the year,they received profits of ₹ $337.50$,₹ $1125.00$,and ₹ $675.00$ respectively. Calculate the investment of each partner and the percentage of total profit.

Medium

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Two partners invested ₹ $12500$ and ₹ $8500$ in a business. They decided that $60 \%$ of the profit incurred from the business will be equally divided between them,while the remaining profit will be distributed as interest on their capitals. If one of the partners receives ₹ $300$ more profit than the other,what is the total profit (in ₹) in the business?

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Arvind began a business with ₹ $550$. Later,Brij joined with ₹ $330$. When did Brij join if the profit at the end of the year was divided in the ratio $10:3$?

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 $R$?

Difficult

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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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Three partners invested a total of ₹ $114000$ in a business. At the end of the year,they received profits of ₹ $337.50$,₹ $1125.00$,and ₹ $675.00$ respectively. Calculate the investment of each partner and the percentage of total profit.

Arvind began a business with ₹ $550$. Later,Brij joined with ₹ $330$. When did Brij join if the profit at the end of the year was divided in the ratio $10:3$?

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 $R$?

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 ₹ $45,000$.

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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 ₹ $45,000$.