(B) The ratio of the investments of $A, B$ and $C$ is calculated based on the product of their capital and the time period for which it was invested:R

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(B) The ratio of the investments of $A, B$ and $C$ is calculated based on the product of their capital and the time period for which it was invested:Ratio $= (6500 \times 6) : (8400 \times 5) : (10000 \times 3)$$= 39000 : 42000 : 30000 = 39 : 42 : 30 = 13 : 14 : 10$Total profit $= ₹ 7400$.$A$ receives $5 \%$ of the total profit as a working member:$A$'s salary $= \frac{5}{100} \times 7400 = ₹ 370$.Remaining profit to be distributed among $A, B$ and $C$ in the ratio of their investments $= 7400 - 370 = ₹ 7030$.Sum of the ratio terms $= 13 + 14 + 10 = 37$.$B$'s share in the profit $= \frac{14}{37} \times 7030 = 14 \times 190 = ₹ 2660$.

Competitive Quantitative Aptitude Ratio and Proportion Partnership

Medium

$A, B$ and $C$ jointly thought of engaging themselves in a business venture. It was agreed that $A$ would invest ₹ $6500$ for $6$ months,$B$ ₹ $8400$ for $5$ months and $C$ ₹ $10000$ for $3$ months. $A$ wants to be the working member for which he was to receive $5 \%$ of the profits. The profit earned was ₹ $7400$. Calculate the share of $B$ in the profit. (In ₹)

A
$1900$
B
$2660$
C
$2800$
D
$2840$

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Ratio and Proportion

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Partnership

Three men $A, B$ and $C$ start a business together. They invest ₹ $30000$,₹ $24000$ and ₹ $42000$,respectively,at the beginning. After $4$ months,$B$ withdraws ₹ $6000$ and $C$ withdraws ₹ $10000$. They receive a profit of ₹ $11960$ at the end of the year. What is $B$'s share in the profit (in ₹)?

Medium

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Anil,Nikhil,and Saurabh started a business in partnership by investing in the ratio of $6:5:8$ respectively. At the end of the year,they earned a profit of $Rs. 83,600$. What will be Saurabh's share (in $Rs.$)?

Easy

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$A$ and $B$ started a business with initial investments in the ratio of $5:7$. If,after one year,their profits were in the ratio of $1:2$ and the period for $A$'s investment was $7$ months,for how many months did $B$ invest the money?

Easy

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In a business,$B$ is a sleeping partner and $A$ is a working partner. $A$ invests ₹ $5000$ and $B$ invests ₹ $6000$. $A$ receives $12 \frac{1}{2} \%$ of the profit for managing the business,and the remaining amount is divided in proportion to their capitals. If the total profit is ₹ $880$,what is $A$'s share of the profit (in ₹)?

Medium

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$A, B$ and $C$ entered into a partnership by investing ₹ $12000$, ₹ $15000$ and ₹ $18000$ respectively. $A$ is also a working partner and receives $15 \%$ of the annual profit for his work. If $B$ and $C$ received ₹ $8500$ and ₹ $10200$ from the annual profit as their shares, what amount did $A$ receive from the annual profit?

Medium

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Anil,Nikhil,and Saurabh started a business in partnership by investing in the ratio of $6:5:8$ respectively. At the end of the year,they earned a profit of $Rs. 83,600$. What will be Saurabh's share (in $Rs.$)?

$A$ and $B$ started a business with initial investments in the ratio of $5:7$. If,after one year,their profits were in the ratio of $1:2$ and the period for $A$'s investment was $7$ months,for how many months did $B$ invest the money?

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