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Solved Examples(Set 1) - Partnership

 1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? A. Rs.12000 B. Rs.12500 C. Rs.26400 D. Rs.14400

Explanation:

Ratio of the investment
$=21000:17500=210:175$ $=42:35=6:5$

Share of X in the profit
$=26400×\dfrac{6}{11}=2400×6=14400$

 2. X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year? A. 1:2 B. 2:1 C. 3:1 D. 1:3

Explanation:

Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
$=45000×12:30000×9\\=45×12:30×9\\=3×12:2×9\\=2:1$

 3. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year? A. 12:17 B. 32:21 C. 17:12 D. 21:32

Explanation:

Here capital is not the same.

Suresh invested 20000 for initial 6 months and 15000 for the next 6 months. Hence his term of ratio
$=(20000×6+15000×6)$

Kiran invested Rs.30000 for 4 months and Rs.50000 for next 4 months. Hence his term of ratio
$=(30000×4+50000×4)$

Suresh : Kiran
$=(20000×6+15000×6)$ $:(30000×4+50000×4)$
$=(20×6+15×6):(30×4+50×4)\\=(20×3+15×3):(30×2:50×2)\\=105:160\\=21:32$

 4. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive? A. 75000 B. 72000 C. 78000 D. 70000

Explanation:

Ratio of the profits of Kamal and Kiran
$=25000×12:60000×8\\=25×12:60×8 \\=5×3:12×2\\=5:4×2\\=5:8$

Let the total profit $=x$

Then Kamal received $\dfrac{10x}{100}=\dfrac{x}{10}$ as commission for managing the business.

Remaining profit $=x-\dfrac{x}{10}=\dfrac{9x}{10}$ which is shared in the ratio $5:8$

Total amount received by Kamal $=\dfrac{x}{10}+\dfrac{9x}{10}×\dfrac{5}{13}$

$\Rightarrow \dfrac{x}{10}+\dfrac{9x}{10}×\dfrac{5}{13}=58000\\ \Rightarrow x + 9x×\dfrac{5}{13}=580000\\ \Rightarrow x\left(1+\dfrac{45}{13}\right)=580000\\ \Rightarrow x×\dfrac{58}{13}=580000\\ \Rightarrow x×\dfrac{1}{13}=10000\\ \Rightarrow x=130000$

Kiran's share = $130000-58000=72000$

 5. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? A. 8000 B. 9000 C. 7500 D. 8500

Explanation:

A : B : C
$=20000×24:15000×24:20000×18\\=20×4:15×4: 20×3\\=4×4:3×4:4×3\\=4:3:3$

B's share = $25000×\dfrac{3}{10}=7500$

rocky
2015-03-23 07:07:41
Ramu invests Rs 50000 and after 8 months he withdraws Rs 10000.Raju invests Rs 2500 every month.what is the ratio of their profits at the end of the year.
Dev
2015-04-05 18:25:50
Ramu : 50000 for 8 months and 40000 for 4 months
Raju :   2500 for 12 months, 2500 for 11 months, ... 2500 for one month

Ramu : Raju = (50000*8+40000*4) : (2500*12 + 2500*11 + ... + 2500*1)
= 560000 : 2500(1+2+...+12)
= 560000 : 2500*12*13/2
= 560000 : 195000
= 112 : 39

Required ratio is 112:39
1 1
pinky
2016-04-25 06:24:33
Why didn't u multiply 2500 with 12. what i mean to say is Raju invests Rs 2500 every month. i.e he is gonna invest the same in every month.
0 0
sam
2016-04-25 19:58:15
@pinky, Dev is right here. The reasoning for his answer is this.

Suppose Raju invests Rs.2500 at the beginning of the first month. This Rs.2500 is there for 12 months.

Then he invest another Rs.2500 at the beginning of the second month(making total investment 5000). This Rs.2500 is there for 11 months.

so on

Therefore, we take it as (2500*12 + 2500*11 + ... + 2500*1)
0 0
aafrin
2015-02-22 07:24:56
A, B, and C start a business. B invests 500 more than A and C invests 700 more than B. How will the profit of Rs.895 be distributed amongst them at the end of a year?

Can you please solve this question.
mac
2015-04-24 02:30:08
{x/(3x+1.7k)}*895 now we can go though options, i.e trial & hit method.
0 0
s
2015-03-13 12:43:03
a=1, b=6, c=13

1+6+13=20

A's share 895/20*1=
B's share 895/20*6=286.5
c's share 895/20*13=
0 0
Dev
2015-03-14 09:17:15
How can you take the ratio of the investment as 1:6:13 which is wrong
0 0
Jay
2015-03-04 10:11:59
Ratio of investment of A,B and C can not be decided. Insufficient data
1 0
abhishek
2015-01-12 15:24:42
a, b and c enter into a partnership with Rs 35000, 30000 and 15000 resp. A is working partner and get's  30% profit. The remaining profit is distributed in proportion to the capital investment. At the end of year A gets Rs 425 more than B and C together. Find total profit.