(C) To find the share of profit,we calculate the equivalent capital for one month for each partner:$P$'s investment: $(50 \times 4) + (25 \times 8) =

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) To find the share of profit,we calculate the equivalent capital for one month for each partner:$P$'s investment: $(50 \times 4) + (25 \times 8) = 200 + 200 = 400$$Q$'s investment: $(45 \times 5) + (22.5 \times 7) = 225 + 157.5 = 382.5$$S$'s investment: $(70 \times 7) = 490$Ratio of profits $(P : Q : S) = 400 : 382.5 : 490$To simplify,multiply by $2$: $800 : 765 : 980$Divide by $5$: $160 : 153 : 196$Total ratio sum $= 160 + 153 + 196 = 509$$S$'s share $= \frac{196}{509} \times 1272.5 = 196 \times 2.5 = Rs. 490$

Competitive Quantitative Aptitude Ratio and Proportion Partnership

Difficult

$P$ and $Q$ enter into a partnership. $P$ invests $Rs. 50$ and $Q$ invests $Rs. 45$. At the end of $4$ months,$P$ withdraws half of his capital,and at the end of the $5^{\text{th}}$ month,$Q$ withdraws half of his capital. $S$ then enters the partnership with a capital of $Rs. 70$. At the end of $12$ months,they earn a total profit of $Rs. 1272.5$. What was $S$'s share in the profit?

A
$460$
B
$480$
C
$490$
D
Cannot be determined

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Ratio and Proportion

Subtopic

Partnership

$A$ 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 $C$?

Medium

View Solution

$S, T$ and $U$ start a business and their capitals are in the ratio $3: 4: 6$. At the end,they received the profit in the ratio of $1: 2: 3$. What will be the respective ratio of the time periods for which they contributed their capitals?

Medium

View Solution

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

Easy

View Solution

Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how long (in months) did Aditya keep his money?

Difficult

View Solution

Aditya,Manish,and Gaurav enter into a partnership with shares in the ratio of $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After $4$ months,Aditya increases his share by $50\%$. If at the end of one year the total profit is $Rs. 43200$,then what will be Manish's share in the profit?

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$S, T$ and $U$ start a business and their capitals are in the ratio $3: 4: 6$. At the end,they received the profit in the ratio of $1: 2: 3$. What will be the respective ratio of the time periods for which they contributed their capitals?

$A$,$B$ and $C$ start a business. If the ratio of their periods of investments is $2: 3: 6$ and their profits are in the ratio of $4: 5: 6$, then the ratio of capitals of $A$,$B$ and $C$ is

Aditya and Manish continued in a joint business for $36$ months. Aditya contributed $Rs. 300$ for a certain time and Manish invested $Rs. 500$ for the remaining time. If out of a total profit of $Rs. 1020$,Aditya gets $Rs. 495$,then for how long (in months) did Aditya keep his money?

Aditya,Manish,and Gaurav enter into a partnership with shares in the ratio of $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$. After $4$ months,Aditya increases his share by $50\%$. If at the end of one year the total profit is $Rs. 43200$,then what will be Manish's share in the profit?

Vedclass Test Series

Exam Paper Generator

Online Exam Module