Online Quiz in Partnership For Quantitative Aptitude for Competitive exams like IBPS BANK PO/Clerical,SBI,RRB,SSC,LIC,UPSC-CSAT,SCRA.MAT,CMAT,MBA,SNAP,CAT,NTSE,CLAT
Partnership-Test 2
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Subject :- Quantitative Aptitude
Chapter :- Partnership-Test 2
Questions :- 25
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A ,B and C sharing profits in the ratio 3:2:2 . B retired from the company and A and C
decide to share profits in the ratio 3:2.What is the gaining ratio?
Mr. X started a business investing Rs.25,000 in 1996.In 1997 he invested an
additional amount of Rs. 10,000 and Mr. Y joined him with an amount of Rs.35,000.In
1998 , Mr.X invested another additional amount of Rs.10,000 and Mr. Z joined
them with an amount of Rs. 35,000 .Find the share of Mr. Y in the profit of Rs.
1,50,000 earned at the end of 3 years from the start of the business in 1996?
Correct
Mr. X : Mr. Y : Mr. Z
[(25000*3)+(10000*2)+(10000*1)] :
(35000*2) : (35,000*1)
105000 : 70000 : 35000
3 : 2 : 1
Mr. Y’s share in the profit = (2/6)*1,50,000
= Rs. 50,000
Incorrect
Mr. X : Mr. Y : Mr. Z
[(25000*3)+(10000*2)+(10000*1)] :
(35000*2) : (35,000*1)
105000 : 70000 : 35000
3 : 2 : 1
Mr. Y’s share in the profit = (2/6)*1,50,000
= Rs. 50,000
Question 4 of 25
4. Question
1 points
A starts a business with an initial investment of Rs. 30,000. After 6 months ,
B enters into the partnership with an investment of Rs. 20,000.Again after 3
months C enters with an investment of Rs.50,000.If C receives Rs. 2000 in the
profit at the end of the year ,what is the total annual profit?
Correct
A, B and C’s equivalent capitals
A : B : C
(30,000*12) : (20,000*6) : (50,000*3)
12 : 4 : 5
C’s profit = 5x/12 = 2000
=> x = 8,400
Incorrect
A, B and C’s equivalent capitals
A : B : C
(30,000*12) : (20,000*6) : (50,000*3)
12 : 4 : 5
C’s profit = 5x/12 = 2000
=> x = 8,400
Question 5 of 25
5. Question
1 points
Riya started a project by investing Rs. 60,000. 6 months later her sister Riama
joins her by investing Rs. 1,00,000.At the end of 1 year from the commencement of
the business ,they earn a profit of Rs.27,038.Find Riama’s share in the profit?
Correct
Riya and Raima’s capital in the ratio
= (60,000*12) : (1,00,000*6)
= 5 : 6
Therefore ,Raima’s share in the profit =(5/11)*27,038 = 12,290
Incorrect
Riya and Raima’s capital in the ratio
= (60,000*12) : (1,00,000*6)
= 5 : 6
Therefore ,Raima’s share in the profit =(5/11)*27,038 = 12,290
Question 6 of 25
6. Question
1 points
Kartik, Bhuvan and Sid entered into a partnership and invested Rs 13,000, Rs
16,000 and Rs 19,000 respectively. After 7 months, Kartik and Bhuvan added Rs 1,000
and Rs 5,000 respectively while Sid withdrew Rs 5,000. If at the end of year
their annual profit is Rs 43,160, find the total profit share of Kartik and Sid.
Megha, Isha and Rani entered into a partnership by investing Rs 20,000, Rs X, and Rs 22,000 respectively for 6 months, 8 months and 10 months respectively. If Isha
earns a profit of Rs 16500 out of a total profit of Rs 44,550, find the total investment done by all three.
Correct
Megha : Isha : Rani
20000*6 : X*8 : 22000*10
30000 : 2X : 55000
15000 : X : 27500
So X/(15000+X+27500) * 44550 = 16500
Gives X/(15000+X+27500) * 270 = 100
Solve, X = 25,000
So total investment = 20+25+22 = 67,000
Incorrect
Megha : Isha : Rani
20000*6 : X*8 : 22000*10
30000 : 2X : 55000
15000 : X : 27500
So X/(15000+X+27500) * 44550 = 16500
Gives X/(15000+X+27500) * 270 = 100
Solve, X = 25,000
So total investment = 20+25+22 = 67,000
Question 8 of 25
8. Question
1 points
Kamya, Prisha and Tisha started a business by investing Rs X, Rs (X+400) and Rs (X-
200). If after the end of year, total share of profit of Kamya and Tisha is Rs 8100 out
of a total profit of Rs 13,500, find the profit share of Prisha.
Correct
Kamya : Prisha : Tisha
X : (X+400) : (X-200)
So (X+X-200)/(X + X+400 + X-200) *
13500 = 8100
Solve, X = 1600
So ratio of profit share is
1600 : 2000 : 1400 = 8 : 10 : 7
So profit share of Prisha = 10/25 * 13500 = Rs 5400
Incorrect
Kamya : Prisha : Tisha
X : (X+400) : (X-200)
So (X+X-200)/(X + X+400 + X-200) *
13500 = 8100
Solve, X = 1600
So ratio of profit share is
1600 : 2000 : 1400 = 8 : 10 : 7
So profit share of Prisha = 10/25 * 13500 = Rs 5400
Question 9 of 25
9. Question
1 points
Preeti, Anu and Aarti entered into a business. Preeti invested Rs 2500 for some
months, Anu invested Rs 3000 for 2 more months than Preeti and Aarti invested Rs
3500 for 3 months less than Anu. If Anu got Rs 8400, out of a total profit of Rs
19,000, then Aarti invested her money for how many months?
Correct
Preeti : Anu : Aarti
25000*x : 3000*(x+2) : 3500*(x-1)
5x : 6(x+2) : 7(x-1)
So (6x+12)/(5x + 6x+12 + 7x-7) * 19000 =8400
Solve, x = 5
So Aarti invested money for 4 months
Incorrect
Preeti : Anu : Aarti
25000*x : 3000*(x+2) : 3500*(x-1)
5x : 6(x+2) : 7(x-1)
So (6x+12)/(5x + 6x+12 + 7x-7) * 19000 =8400
Solve, x = 5
So Aarti invested money for 4 months
Question 10 of 25
10. Question
1 points
Directions (10-12):
A, B and C started a business by investing Rs 800, Rs 1600 and Rs 2000 respectively. After a quarter they invested amounts in a ratio 1 : 4 : 2. After another quarter, they invested amounts in ratio 3 : 2 : 3.In the last quarter the ratio of investments was same as in 2nd quarter. Also in the last quarter, the respective amounts of A, B and C was double than the respective amounts invested in 2nd quarter. The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration. Also ratio of B’s share in profit to total profit at the end of year was 66 : 153.
Find the total investment of A, B and C.
Correct
Quarters means 3 months each
Ratio of investments in 2nd quarter – 1 : 4 :
2, so let amounts – x, 4x, 2x
Ratio of investments in 3rd quarter – 3 : 2 :
3, so let amounts – 3y, 2y, 3y
In last quarter, respective amount is double
then in 2nd quarter, so amounts – 2x, 8x, 4x
In the last quarter the ratio of
investments was same as in 2nd quarter.
— this is not required to solve question.
Given:
(2000 + 2x + 3y) = 1400 + (800+x+3y)
Solve, x = Rs 200
Now ratio of profit share —A : B : C is
800*3 + x*3 + 3y*3 + 2x*3 : 1600*3 +
4x*3 + 2y*3 + 8x*3 : 2000*3 + 2x*3 +
3y*3 + 4x*3
3 gets cancelled, gives
(800+3x+3y) : (1600+12x+2y) :
(2000+6x+3y)
Put x = 200 gives
1400+3y : 4000+2y : 3200+3y
Now given
(4000+2y)/(1400+3y + 4000+2y +
3200+3y) = 66/153
(2000+y)/(4300+4y) = 22/51
Solve, y = Rs 200
So now the total investment is—
(800+3x+3y) + (1600+12x+2y) +
(2000+6x+3y) = (4400 + 21x + 8y)
put x = 200, y = 200, total investment = Rs
10,200
Incorrect
Quarters means 3 months each
Ratio of investments in 2nd quarter – 1 : 4 :
2, so let amounts – x, 4x, 2x
Ratio of investments in 3rd quarter – 3 : 2 :
3, so let amounts – 3y, 2y, 3y
In last quarter, respective amount is double
then in 2nd quarter, so amounts – 2x, 8x, 4x
In the last quarter the ratio of
investments was same as in 2nd quarter.
— this is not required to solve question.
Given:
(2000 + 2x + 3y) = 1400 + (800+x+3y)
Solve, x = Rs 200
Now ratio of profit share —A : B : C is
800*3 + x*3 + 3y*3 + 2x*3 : 1600*3 +
4x*3 + 2y*3 + 8x*3 : 2000*3 + 2x*3 +
3y*3 + 4x*3
3 gets cancelled, gives
(800+3x+3y) : (1600+12x+2y) :
(2000+6x+3y)
Put x = 200 gives
1400+3y : 4000+2y : 3200+3y
Now given
(4000+2y)/(1400+3y + 4000+2y +
3200+3y) = 66/153
(2000+y)/(4300+4y) = 22/51
Solve, y = Rs 200
So now the total investment is—
(800+3x+3y) + (1600+12x+2y) +
(2000+6x+3y) = (4400 + 21x + 8y)
put x = 200, y = 200, total investment = Rs
10,200
Question 11 of 25
11. Question
1 points
If they respectively had invested same amounts in each quarter after quarter 1
which is equal to their respective investments in quarter 1, then what would
be the profit of A at the end of year out of a total profit of Rs 19,350?
Correct
800, 1600, 2000 as it is for 3 months, and
then for next 9 months x, 4x and 2x
So ratio of profit share – A : B : C is
800*3 + 200*9 : 1600*3 + 800*9 : 2000*3+ 400*9
7 : 20 : 16
So profit share of A = 7/43 * 19350 = Rs 3150
Incorrect
800, 1600, 2000 as it is for 3 months, and
then for next 9 months x, 4x and 2x
So ratio of profit share – A : B : C is
800*3 + 200*9 : 1600*3 + 800*9 : 2000*3+ 400*9
7 : 20 : 16
So profit share of A = 7/43 * 19350 = Rs 3150
Question 12 of 25
12. Question
1 points
If the respective investments in third quarter was changed and this was in ratio 2
: 4 : 1 (other investments being the same), then what would be the total investment of
all three in third quarter, if the average investment of all A B and C was Rs 3100
for whole year?
Correct
New investments – 3z, 2z, and 2z
Investment of A = (800+3x+2z), B =
(1600+12x+4z) and C =(2000+6x+1z)
Put x = 200
A = 1400+2z, B = 4000+4z, C = 3200+1z
Now given (1400+2z + 4000+4z +
3200+1z)/3 = 3100
Solve, z = Rs 100
So total investment for quarter 3 = 2z+4z+z
= 7z = Rs 700
Incorrect
New investments – 3z, 2z, and 2z
Investment of A = (800+3x+2z), B =
(1600+12x+4z) and C =(2000+6x+1z)
Put x = 200
A = 1400+2z, B = 4000+4z, C = 3200+1z
Now given (1400+2z + 4000+4z +
3200+1z)/3 = 3100
Solve, z = Rs 100
So total investment for quarter 3 = 2z+4z+z
= 7z = Rs 700
Question 13 of 25
13. Question
1 points
Directions (13-15):
A, B and C started a business. They invested amounts in the ratio 1 :3 : 2 respectively for 8 months. After this they invested amounts in ratio 2 : 3 : 4 respectively for 4 months. The average investment of A and B is Rs 2800 while average investment of B and C is Rs 3800.
Find the total investment of C?
Correct
A : B : C is x*8 + 2y*4 : 3x*8 + 3y*4 : 2x*8 + 4y*4
gives (2x+2y) : (6x+3y) : (4x+4y)
Given::
(x+2y+3x+3y)/2 = 2800
4x+5y = 5600
Also (3x+3y+2x+4y)/2 = 3800
5x+7y = 7600
Solve both equations, x = 400, y = 800
So total investment of C = (2x+4y) = Rs
4000
Incorrect
A : B : C is x*8 + 2y*4 : 3x*8 + 3y*4 : 2x*8 + 4y*4
gives (2x+2y) : (6x+3y) : (4x+4y)
Given::
(x+2y+3x+3y)/2 = 2800
4x+5y = 5600
Also (3x+3y+2x+4y)/2 = 3800
5x+7y = 7600
Solve both equations, x = 400, y = 800
So total investment of C = (2x+4y) = Rs
4000
Question 14 of 25
14. Question
1 points
If B’s investment for both the terms (4 months and 8 months) was swapped, then
find the total profit share of B and C if annual profit is Rs 46,200.
Correct
B’s investment for 8 months = 3x = 3*400
= Rs 1200 and for 4 months = 3y = 3*800
= Rs2400
Now swapped, means for 8 months = Rs
2400 and for 4 months is Rs 1200
So now ratio of A : B : C is
400*8 + 1600*4 : 2400*8 + 1200*4 :
800*8 + 3200*4
2 : 5 : 4
So required profit = (5+4)/(2+5+4) * 46200
= Rs 37,800
Incorrect
B’s investment for 8 months = 3x = 3*400
= Rs 1200 and for 4 months = 3y = 3*800
= Rs2400
Now swapped, means for 8 months = Rs
2400 and for 4 months is Rs 1200
So now ratio of A : B : C is
400*8 + 1600*4 : 2400*8 + 1200*4 :
800*8 + 3200*4
2 : 5 : 4
So required profit = (5+4)/(2+5+4) * 46200
= Rs 37,800
Question 15 of 25
15. Question
1 points
If A’s share in annual profit is Rs 9030, find the total profit after a year.
Correct
Ratio of profit share is
(2x+2y) : (6x+3y) : (4x+4y)
x = 400, y = 800
So ratio becomes
1 : 2 : 2
So 1/5 * x = 9030
Total profit = x = Rs 45,150
Incorrect
Ratio of profit share is
(2x+2y) : (6x+3y) : (4x+4y)
x = 400, y = 800
So ratio becomes
1 : 2 : 2
So 1/5 * x = 9030
Total profit = x = Rs 45,150
Question 16 of 25
16. Question
1 points
A and B enter into a partnership with capitals in the ratio 7:8 and at the end of 8
months A withdraws. If they receive profits in the ratio of 7:11 find how long B’s
capital was used?
Correct
A : B
7 : 8
8 : x (time)
7*8 : 8*x = 7 : 11
56/8x = 7/11
x = 11
Incorrect
A : B
7 : 8
8 : x (time)
7*8 : 8*x = 7 : 11
56/8x = 7/11
x = 11
Question 17 of 25
17. Question
1 points
A began a business with Rs 12,000 and was joined afterwards by B with Rs 8,000. After how many months did B join if the profits at the end of the year were divided in the ratio 3:1?
Correct
12000*12:8000*(12-x)=3:1
solve x= 6 months
Incorrect
12000*12:8000*(12-x)=3:1
solve x= 6 months
Question 18 of 25
18. Question
1 points
Two partners invest Rs 120000 and Rs 84000 in a business and agree that 70% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one person gets Rs 900 more than the other then find the total profit made in the business.
A,B and C enter into a partnership with Rs 4000, Rs 6000 and Rs 8000 respectively.
After 4 months A withdrew 25% and after 6 months B add 16(2/3)% and after 8
months C withdrew 25% , find the profit earned by A if they get a total profit of Rs
7500 after 1 year.
Correct
Incorrect
Question 20 of 25
20. Question
1 points
A starts a business with Rs 25000. After few months B join him with Rs 20000. If
the ratio of their profit after 1 year is 15:8 find after how many months B joined A?
Correct
25000*12 : 20000(12-x)
15 : 8
solve and get x=4 months
Incorrect
25000*12 : 20000(12-x)
15 : 8
solve and get x=4 months
Question 21 of 25
21. Question
1 points
A invests with B some rupees and B invested Rs 25,000. After 4 months A
increase his investment with Rs 6000. If at the end of the year A and B have a profit of
Rs 2400 and Rs 2500 respectively, find the sum invested by A.
Correct
[x*4 + (x+6000)*8]/(25000*12)=24/25
solve and get x= Rs 20000
Incorrect
[x*4 + (x+6000)*8]/(25000*12)=24/25
solve and get x= Rs 20000
Question 22 of 25
22. Question
1 points
Ram and Shyam invested Rs 5000 and Rs 7000 respectively. If Ram increases Rs
1000 after every 4 months find the ratio of their profit after 1 year.
Correct
A : B
5000*4 : 7000*12
+6000*4
+7000*4
=72000 : 84000
6 : 7
Incorrect
A : B
5000*4 : 7000*12
+6000*4
+7000*4
=72000 : 84000
6 : 7
Question 23 of 25
23. Question
1 points
In a partnership A invest 1/6 of the capital for 1/6 of the time. B invest 1/3 capital for
1/3 time and C invest the remaining capital for whole time. If at the end of the year the
profit earned is Rs 23000, Then what will be the share of B?
Correct
Let total capital=18
A=1/6*18 *1/6*12=6
B= 1/3*18*1/3*12=24
C=9*12=108
A:B:C=1:4:18
B=4/23*23000=4000
Incorrect
Let total capital=18
A=1/6*18 *1/6*12=6
B= 1/3*18*1/3*12=24
C=9*12=108
A:B:C=1:4:18
B=4/23*23000=4000
Question 24 of 25
24. Question
1 points
Sumit and Anu invested money in the ratio of 8:12, find for how much time anu
invested the money if Sumit invested money for 9 months and he got Rs 1000 from a total profit of Rs 3000?
Correct
Sumit : Anu
8*9 : 12*x
72:12x
Profit=1000:2000=1:2
72/12x=1/2
x=12
Incorrect
Sumit : Anu
8*9 : 12*x
72:12x
Profit=1000:2000=1:2
72/12x=1/2
x=12
Question 25 of 25
25. Question
1 points
A and B invested Rs 1200 and Rs 1500 respectively in a business. After 8 months
A withdrew his entire money and C joined them with Rs 2000. If after a year, a total of
Rs 1780 is obtained as a profit, find the total share of B and C?
Correct
A : B : C
1200*8 : 1500*12 : 2000*4
= 24:45:20
B+C=65/89*1780
Incorrect
A : B : C
1200*8 : 1500*12 : 2000*4
= 24:45:20
B+C=65/89*1780