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Arithmetic: Partnership Test-1
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Question 1 |
A, B, C, are three partners .They altogether invested Rs. 14000 in business. At the end of the year, A got Rs. 337.50, B got Rs. 1125 and C got Rs. 637.50 as the profit. What is The difference between the investments of B and A?
Rs. 2200 | |
Rs. 3200 | |
Rs. 4200 | |
Rs. 5250 |
Question 1 Explanation:
Here investment is done in the ratio of 337.50 : 1125 : 637.50
So we can write it as
27 : 90 : 51 = 9 : 30 : 17
Now let the investment is in the form of 9a, 30a, 17a respectively
So we can say that total investment of all the partners = Â Â Â 9a +30a+17a = 14000(given)
So from here a = 250
And the difference between the Investments of B and A = 30a – 9a = 21a = 21 x 250 = Rs. 5250
Hence option D
So we can write it as
27 : 90 : 51 = 9 : 30 : 17
Now let the investment is in the form of 9a, 30a, 17a respectively
So we can say that total investment of all the partners = Â Â Â 9a +30a+17a = 14000(given)
So from here a = 250
And the difference between the Investments of B and A = 30a – 9a = 21a = 21 x 250 = Rs. 5250
Hence option D
Question 2 |
Anu is working partner and Bimla is a sleeping partner in the business. Anu puts in Rs. 5000 and Bimla puts in Rs. 6000 . Anu receives 12.5% of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?
Rs. 400, Rs. 480 | |
Rs. 460, Rs. 420 | |
Rs. 450, Rs. 430 | |
Rs. 470, Rs. 410 |
Question 2 Explanation:
Total profit = Rs. 880
Investment ratio of both the partners = 5:6
It is given that Anu receives 12.5% of the profit for managing the business
So 125/1000 x 880 = Rs. 110
Now 880 – 110 = 770
This Rs. 770 is divided with respect to the ratio of investments
So Profit of Anu = 5/11 x 770 = Rs. 350
Total profit of Anu = 350 + 110 = Rs. 460
And the profit of Bimla = 6/11 x 770 = Rs. 420
Investment ratio of both the partners = 5:6
It is given that Anu receives 12.5% of the profit for managing the business
So 125/1000 x 880 = Rs. 110
Now 880 – 110 = 770
This Rs. 770 is divided with respect to the ratio of investments
So Profit of Anu = 5/11 x 770 = Rs. 350
Total profit of Anu = 350 + 110 = Rs. 460
And the profit of Bimla = 6/11 x 770 = Rs. 420
Question 3 |
The contribution of Prashant and Maninder is Rs. 1500 and Rs. 900 in a business . Â Prashant is sleeping partner and Maninder gets 10% of the profit for management and the rest of the profit is divided in the proportion of their capitals .If the profit is Rs. 800 what is the share of Maninder?
Rs. 375 | |
Rs. 360 | |
Rs. 350 | |
Rs. 450 |
Question 3 Explanation:
Total profit = Rs. 800
Given that Maninder gets 10% of the profit for management
So 10% of 800 = Rs. 80
Now money invested in the ratio of 5:3
Therefore
So the share of Maninder = 3/8 x 720 + 80 = Rs. 350  
Given that Maninder gets 10% of the profit for management
So 10% of 800 = Rs. 80
Now money invested in the ratio of 5:3
Therefore
So the share of Maninder = 3/8 x 720 + 80 = Rs. 350  
Question 4 |
Atish and Richa are partners in a business .Atish contributed 1/3 of the capital for the 9 months and Richa received 2/5 of the profit .For how long was Richa’s money used in the business ?
4 months | |
3 months | |
2 months | |
5 months |
Question 4 Explanation:
Contribution of Atish = 1/3rd of the capital
Therefore the remaining contribution is automatically of Richa = 2/3rd of the total capital
So we can say that the ratio of contributions of Atish and Richa = 1/3 : 2/3 = 1:2
Now Richa received = 2/5th of the profit
Then the profit of Atish = 3/5th of the profit
So the ratio of profit will be equal to the = 3: 2
Let the share of Atish in the partnership is for p months
So the ratio become = 1 x 9 : 2 x p = 3: 2
So p = 3 month
Therefore the remaining contribution is automatically of Richa = 2/3rd of the total capital
So we can say that the ratio of contributions of Atish and Richa = 1/3 : 2/3 = 1:2
Now Richa received = 2/5th of the profit
Then the profit of Atish = 3/5th of the profit
So the ratio of profit will be equal to the = 3: 2
Let the share of Atish in the partnership is for p months
So the ratio become = 1 x 9 : 2 x p = 3: 2
So p = 3 month
Question 5 |
Divide Rs. 671 among  Varoon , Richa ,Natasha, such that if their shares be increased by Rs. 3,Rs. 7 and Rs. 9 respectively , the remainder shall be in the ratio of 1 : 2 : 3 .
Rs. 110, Rs. 220 , Rs. 336 | |
Rs. 112, Rs. 223, Rs. 336 | |
Rs. 105, Rs. 223, Rs. 330 | |
none of these |
Question 5 Explanation:
Let the total investment = p
The ratio of shares is given i.e. 1 : 2 : 3
So the ratio would be = p : 2p : 3p
Now we are given their increased share i.e Rs. 3 Rs. 7 and Rs. 9
Before increasing the ratio of shares = (p -3):(2p-7):(3p-9)
Therefore the total investment
=Â (p -3)+(2p-7)+(3p-9) = 671
6p = 690
p = 115
So Varoon = Rs. 112
Richa = Rs. 223
Natasha = Rs. 336
The ratio of shares is given i.e. 1 : 2 : 3
So the ratio would be = p : 2p : 3p
Now we are given their increased share i.e Rs. 3 Rs. 7 and Rs. 9
Before increasing the ratio of shares = (p -3):(2p-7):(3p-9)
Therefore the total investment
=Â (p -3)+(2p-7)+(3p-9) = 671
6p = 690
p = 115
So Varoon = Rs. 112
Richa = Rs. 223
Natasha = Rs. 336
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