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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?
A
Rs. 2200
B
Rs. 3200
C
Rs. 4200
D
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 =    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?
A
Rs. 400, Rs. 480
B
Rs. 460, Rs. 420
C
Rs. 450, Rs. 430
D
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
Question 3
The contribution of Prashant and Maninder is Rs. 1500 and Rs. 900 in a business .  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?
A
Rs. 375
B
Rs. 360
C
Rs. 350
D
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  
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 ?
A
4 months
B
3 months
C
2 months
D
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
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 .
A
Rs. 110, Rs. 220 , Rs. 336
B
Rs. 112, Rs. 223, Rs. 336
C
Rs. 105, Rs. 223, Rs. 330
D
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
=  (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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