Online exam 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 3
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Subject :- Quantitative Aptitude
Chapter :- Partnership-Test 3
Questions :- 25
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Antra and Manvi invested Rs 3780 and Rs 3960 in a business. After 3 months, Antra
withdew Rs 420 and Manvi withdrew Rs 180. At the same time Chetna joined them
by investing Rs 4620. After a year, they made a profit of Rs 35,850. Find Manvi’s
share in the annual profit.
Correct
Ratio of shares of Antra : Manvi : Chetna is
3780*3 + 3360*9 : 3960*3 + 3780*9 +4620*9
Shikha and Shreya invested in the ratio 7 : 8 in a business. They got an annual profit
of Rs 34,450. If Shikha withdrew her entire money at the end of 9 years, then what is
the difference between their shares of profit?
Correct
Ratio of shares of profit of Shikha : Shreya
is
7*9 : 8*12
21 : 32
So difference in shares = (32-21)/(21+32) *
34450 = Rs 7150
Incorrect
Ratio of shares of profit of Shikha : Shreya
is
7*9 : 8*12
21 : 32
So difference in shares = (32-21)/(21+32) *
34450 = Rs 7150
Question 3 of 25
3. Question
1 points
Kashish and Sheena started a business by investing Rs 2600 and Rs 2400 respectively. After 7 months, they added Rs 600 and Rs 800 respectively. 33% of the total profit earned after a year is given in donation. If after giving donation, the difference between the shares of Kashish
and Sheena is Rs 350, find the total profit
earned after a year.
Correct
Ratio of shares of profit of Kashish :
Sheena is
2600*7 + 3200*5 : 2400*7 + 3200*5
171 : 164
So (171-164)/(171+164) * x = 350
Solve, x = Rs 16750
So (100-33)% of y (total profit) = 16750
Solve, y = Rs 25000
Incorrect
Ratio of shares of profit of Kashish :
Sheena is
2600*7 + 3200*5 : 2400*7 + 3200*5
171 : 164
So (171-164)/(171+164) * x = 350
Solve, x = Rs 16750
So (100-33)% of y (total profit) = 16750
Solve, y = Rs 25000
Question 4 of 25
4. Question
1 points
Karuna and Varuna invested Rs 2400 and Rs x in a business. After 3 months, Karuna
added Rs 600 while Varuna withdrew Rs 300. After a year out of a total profit of Rs
36,920, Varuna received Rs 17,160. Find the amount invested by Varuna at the
starting of business.
Correct
Ratio of shares of Karuna and Varuna is
2400*3 + 3000*9 : x*3 + (x-300)*9
gives 11400 : (4x-900)
So (4x-900)/(11400+4x-900) * 36920 =
17160
Solve, x = Rs 2700
Incorrect
Ratio of shares of Karuna and Varuna is
2400*3 + 3000*9 : x*3 + (x-300)*9
gives 11400 : (4x-900)
So (4x-900)/(11400+4x-900) * 36920 =
17160
Solve, x = Rs 2700
Question 5 of 25
5. Question
1 points
Vijay and Ajay started a business by investing Rs 2000 and Rs 1500 respectively. 4 months after start, Vijay withdrew all his money and Amit joined Ajay by investing Rs 3000. After the end of year, the difference between the shares of Amit and Vijay together and Ajay is Rs 3423. What is the total profit after a year?
Correct
Ratio of shares of Vijay : Ajay : Amit is
2000*4 : 1500*12 : 3000*8
4 : 9 : 12
[(12+4)-9]/(4+9+12) * x = 3423
Solve, x = Rs 12225
Incorrect
Ratio of shares of Vijay : Ajay : Amit is
2000*4 : 1500*12 : 3000*8
4 : 9 : 12
[(12+4)-9]/(4+9+12) * x = 3423
Solve, x = Rs 12225
Question 6 of 25
6. Question
1 points
Tiya and Piya invested Rs 1350 and Rs 1800 respectively in a business. After 9
months Piya withdrew her entire money and Riya and Siya joined the business by
investing Rs 3000 and Rs 2700 respectively. If after a year, a total of Rs 13,750 is obtained as profit, find the total share of Piya and Riya together out of total profit.
Correct
Ratio of shares of Tiya : Piya : Riya : Siya
is
1350*12 : 1800*9 : 3000*3 : 2700*3
18 : 18 : 10 : 9
So (B+C) got = (18+10)/(18+18+10+9) *
13750 = Rs 7000
Incorrect
Ratio of shares of Tiya : Piya : Riya : Siya
is
1350*12 : 1800*9 : 3000*3 : 2700*3
18 : 18 : 10 : 9
So (B+C) got = (18+10)/(18+18+10+9) *
13750 = Rs 7000
Question 7 of 25
7. Question
1 points
Veena, Meena and Teena started a business by investing Rs 7000, Rs 7500 and Rs 6500
respectively for 4 months. After 4 months Veena and Teena added same amount as
before while Teena invested Rs 7000 for 8 months. If after this the profit earned was
Rs 44,800, find the share of Teena.
Correct
Ratio of shares Veena : Meena : Teena is 7000*12 : 7500*12 : 6500*4 + 7000*8
42 : 45 : 41
So share of Teena is 41/(42+45+41) *
44800 = Rs 14,350
Incorrect
Ratio of shares Veena : Meena : Teena is 7000*12 : 7500*12 : 6500*4 + 7000*8
42 : 45 : 41
So share of Teena is 41/(42+45+41) *
44800 = Rs 14,350
Question 8 of 25
8. Question
1 points
Vanya and Tanya started a business by investing Rs 1750 and Rs 2100 respectively. 5 months later, Tanya withdrew her entire money and Sanya and Manya joined the business with investments of Rs 4000 and Rs 6500 respectively. If after a year difference in total shares of Sanya and Manya together and total shares of Vanya and Tanya together is Rs 6,720, find the total profit.
Sumit and Rumit started a business by investing Rs 7200 and Rs 6400 respectively. After 6 months, Sumit withdrew half and Rumit withdrew 1/4th of their respected money invested. If after a year, a total profit of Rs 19,800 is made, what is the share of Sumit?
Correct
Rumit withdrew 1/4th so remained money
Is 3/4th of 6400
Ratio of shares of profit of Sumit : Rumit is
7200* 6 + 3600*6 : 6400*6 + 4800*6
27 : 28
Share of Sumit = 27/(27+28) * 19800 = Rs 9720
Incorrect
Rumit withdrew 1/4th so remained money
Is 3/4th of 6400
Ratio of shares of profit of Sumit : Rumit is
7200* 6 + 3600*6 : 6400*6 + 4800*6
27 : 28
Share of Sumit = 27/(27+28) * 19800 = Rs 9720
Question 10 of 25
10. Question
1 points
Rohit, Lohit and Mohit started a business by investing in the ratio 1/3 : 2/4 : 2/5.
After 8 months Mohit withdrew 1/2 of his investment. If after 12 months from start of
business Rohit and Lohit got a share of Rs 16,000 out of the total profit, then find the
share of Mohit?
Correct
Investments of Rohit : Lohit : Mohit = 1/3 :
1/2 : 2/5 = 10 : 15 : 12
After 8 months Mohit withdrew 1/2 , so 1/2
* 12 = 6, so invested = 12-6 = 6 for another
4 months
So now ratio of shares of Rohit : Lohit :
Mohit is
10 * 12 : 15 * 12 : 12 * 8 + 6 * 4
2 : 3 : 2
Let x is total profit. So (2+3)/(2+3+2) * x =
16000
x = 22400
So share of Mohit = 2/7 * 22400 = Rs 6400
Incorrect
Investments of Rohit : Lohit : Mohit = 1/3 :
1/2 : 2/5 = 10 : 15 : 12
After 8 months Mohit withdrew 1/2 , so 1/2
* 12 = 6, so invested = 12-6 = 6 for another
4 months
So now ratio of shares of Rohit : Lohit :
Mohit is
10 * 12 : 15 * 12 : 12 * 8 + 6 * 4
2 : 3 : 2
Let x is total profit. So (2+3)/(2+3+2) * x =
16000
x = 22400
So share of Mohit = 2/7 * 22400 = Rs 6400
Question 11 of 25
11. Question
1 points
A and B invested in a business in ration 7 : 6. After 7 months, C joined them with double the investment made by B. If A and C together got Rs 2380 from the total profit after a year, what was the annual profit?
Correct
Investment of A = 7x, B = 6x. So that of C =
2*6x = 12x
So ratio of A : B : C is
7x*12 : 6x*12 : 12x*5
7 : 6 : 5
Let annual profit = Rs x. So
(7+5)/(7+6+5) * x = 2380
So x = Rs 3570
Incorrect
Investment of A = 7x, B = 6x. So that of C =
2*6x = 12x
So ratio of A : B : C is
7x*12 : 6x*12 : 12x*5
7 : 6 : 5
Let annual profit = Rs x. So
(7+5)/(7+6+5) * x = 2380
So x = Rs 3570
Question 12 of 25
12. Question
1 points
A invested Rs 5000 in a business. After 4 months B joined him by investing Rs 4800. After a further of 2 months, C joined them with Rs 5200. If after the end of year, they earned a total profit if Rs 14,400, then what is the difference between the shares of A and B?
Correct
Ratio of shares of profit of A : B : C is
5000*12 : 4800*8 : 5200*6
50*12 : 48*8 : 52*6
25 : 16 : 13
So difference in shares of A and B = (25-16)/(25+16+13) * 14400 = Rs 2400
Incorrect
Ratio of shares of profit of A : B : C is
5000*12 : 4800*8 : 5200*6
50*12 : 48*8 : 52*6
25 : 16 : 13
So difference in shares of A and B = (25-16)/(25+16+13) * 14400 = Rs 2400
Question 13 of 25
13. Question
1 points
A, B and C invested in ratio 1/2 : 3/4 : 2/3. After 6 months C withdrew his 1/4th investment. If after 8 months A and B got a share of Rs 16,000 out of the total profit, then find the share of C?
Correct
Investments of A : B : C = 1/2 : 3/4 : 2/3 = 6 : 9 :8
After 6 months C withdrew 1/4th , so 1/4 * 8 = 2,
so invested = 8-2 = 6 for another 6 months
So now ratio of shares of A : B : C is
6x*8 : 9x*8 : 8x*6 + 6x*2
4 : 6 : 5
Let x is total profit. So (4+6)/(4+6+5) * x =16000
x = 1600*15
So share of C = 5/15 * 1600*15 = Rs 8000
Incorrect
Investments of A : B : C = 1/2 : 3/4 : 2/3 = 6 : 9 :8
After 6 months C withdrew 1/4th , so 1/4 * 8 = 2,
so invested = 8-2 = 6 for another 6 months
So now ratio of shares of A : B : C is
6x*8 : 9x*8 : 8x*6 + 6x*2
4 : 6 : 5
Let x is total profit. So (4+6)/(4+6+5) * x =16000
x = 1600*15
So share of C = 5/15 * 1600*15 = Rs 8000
Question 14 of 25
14. Question
1 points
A total of Rs 84,000 is invested in a business. Investment of A is Rs 4000 less than that of B and B’s investment is Rs 4000 less than that of C. If A invested his amount for 5 months and B and C each for 4 months, then out of total profit if Rs 63,000 what is the share of A?
Correct
Let C’s investment is Rs x, then B’s = Rs (x –4000), then A’s = Rs (x – 4000 – 4000) =Rs (x– 8000)
So (x-8000) +(x-4000) + (x) = 84000
Solve, x = 32,000
So ratio of shares of A, B and C is
24000 * 5 : 28000*4 : 32000*4
15 : 14 : 16
So A’s share = 15/(15+14+16) * 63000 = Rs 21000
Incorrect
Let C’s investment is Rs x, then B’s = Rs (x –4000), then A’s = Rs (x – 4000 – 4000) =Rs (x– 8000)
So (x-8000) +(x-4000) + (x) = 84000
Solve, x = 32,000
So ratio of shares of A, B and C is
24000 * 5 : 28000*4 : 32000*4
15 : 14 : 16
So A’s share = 15/(15+14+16) * 63000 = Rs 21000
Question 15 of 25
15. Question
1 points
A invested Rs 5500 for 2 months more than B while B invested Rs 4000 for 1 month more
than C who invested Rs 5600. If out of a total profit of Rs 6000, the difference in the shares of C and B is Rs 250 then find the time for which A invested the money.
Correct
Let C invested money for x months, then B for
(x+1) months and then A for (x+1+2) = (x+3)
months
So ratio of shares of A : B : C is
5500*(x+3) : 4000*(x+1) : 5600*x
55(x+3) : 40(x+1) : 56x
Given
(56x – 40x – 40)/(55x+165+40x+40+56x) *6000 = 250
Solve, x = 5
So A invested for 5+3 = 8 months
Incorrect
Let C invested money for x months, then B for
(x+1) months and then A for (x+1+2) = (x+3)
months
So ratio of shares of A : B : C is
5500*(x+3) : 4000*(x+1) : 5600*x
55(x+3) : 40(x+1) : 56x
Given
(56x – 40x – 40)/(55x+165+40x+40+56x) *6000 = 250
Solve, x = 5
So A invested for 5+3 = 8 months
Question 16 of 25
16. Question
1 points
A invested Rs 25,300 for 7 months, B invested Rs 25,200 for 11 months and C
invested Rs 27,500 fir 7 months. Find the share of A and C together out of a total profit of Rs 33,600.
Correct
Ratio of shares of profit of A : B : C is
25300*7 : 25200*11 : 27500*7
23*7 : 252 : 25*7
23 : 36 : 25
Total of profit of A and C is
(23+25)/(23+36+25) * 33600 = Rs 19,200
Incorrect
Ratio of shares of profit of A : B : C is
25300*7 : 25200*11 : 27500*7
23*7 : 252 : 25*7
23 : 36 : 25
Total of profit of A and C is
(23+25)/(23+36+25) * 33600 = Rs 19,200
Question 17 of 25
17. Question
1 points
In a business, A invested Rs 25,000 and B invested Rs 24,000. As his salary A got 1/50th
of the total profit of Rs 60,000 after which the remaining amount was shared among A and B in the ratio of their shares in profit. Find the difference in the shares of both.
Correct
Ratio of shares A : B is
25000 : 24000
25 : 24
A got 1/50 * 60000 = Rs 1200 extra
So remaining profit to be shared between A and
B is 60,000 – 1200 = Rs 58,800
So now B got = 24/(25+24) * 58,800 = Rs 28,800
So A got = 1200 + (58800 – 28000) = Rs 31200
So different in shares = 31200 – 28800 = Rs 2400
Incorrect
Ratio of shares A : B is
25000 : 24000
25 : 24
A got 1/50 * 60000 = Rs 1200 extra
So remaining profit to be shared between A and
B is 60,000 – 1200 = Rs 58,800
So now B got = 24/(25+24) * 58,800 = Rs 28,800
So A got = 1200 + (58800 – 28000) = Rs 31200
So different in shares = 31200 – 28800 = Rs 2400
Question 18 of 25
18. Question
1 points
In a business A and B invested Rs 5,000 and Rs 6,000 respectively. After 9 months from start of business, C invested Rs 12000 and A and B both withdrew Rs 1,000 each from their investments. If at the end of year B and C together got Rs 12,250 from the total profit, then what is the total profit?
Correct
Ratio of shares A : B : C is
5000*9 + 4000*3 : 6000*9 + 5000*3 : 12000*3
19 : 23 : 12
Let x is the total profit
So [(23+12)/54]*x = 12,250
Solve, x = Rs 18,900
Incorrect
Ratio of shares A : B : C is
5000*9 + 4000*3 : 6000*9 + 5000*3 : 12000*3
19 : 23 : 12
Let x is the total profit
So [(23+12)/54]*x = 12,250
Solve, x = Rs 18,900
Question 19 of 25
19. Question
1 points
In a business, A and B invested Rs10,000 and Rs 11,000 respectively. After 4 months they both withdrew Rs 1000 from their respective investments. After a further of 6 months, A invested Rs 1000 more and B invested Rs 2000 more. What is the difference in the shares of both if Rs 54,450 is received as total profit after a year?
Correct
Ratio of shares of profit of A : B is
10000*4 + 9000*6 + 10000*2 : 11000*4 +
10000*6 + 12000*2
10000*6 + 9000*6 : 11000*4 + 10000*6 +
12000*2
10*6 + 9*6 : 11*4 + 10*6 + 12*2
10*3 + 9*3 : 11*2 + 10*3 + 12
57 : 64
Difference = (64-57)/(57+64) * 54450 = Rs 3150
Incorrect
Ratio of shares of profit of A : B is
10000*4 + 9000*6 + 10000*2 : 11000*4 +
10000*6 + 12000*2
10000*6 + 9000*6 : 11000*4 + 10000*6 +
12000*2
10*6 + 9*6 : 11*4 + 10*6 + 12*2
10*3 + 9*3 : 11*2 + 10*3 + 12
57 : 64
Difference = (64-57)/(57+64) * 54450 = Rs 3150
Question 20 of 25
20. Question
1 points
In a business, A and B invested Rs 2600 and Rs 3900 respectively. After half year, A
withdrew half and B withdrew 1/3rd from their investments. What is the difference in the shares of both, if a total profit of Rs 16,800 is received after a year?
Correct
B withdrew =1/3 * 3900 = 1300, so for last 6
months invested 3900-1300 = 2600
Ratio of shares of profit of A : B is
2600*6 + 1300*6 : 3900*6 + 2600*6
26 + 13 : 39 + 26
2 + 1 : 3 + 2 = 3 : 5
So difference = (5-3)/(3+5) * 16800 = Rs 4200
Incorrect
B withdrew =1/3 * 3900 = 1300, so for last 6
months invested 3900-1300 = 2600
Ratio of shares of profit of A : B is
2600*6 + 1300*6 : 3900*6 + 2600*6
26 + 13 : 39 + 26
2 + 1 : 3 + 2 = 3 : 5
So difference = (5-3)/(3+5) * 16800 = Rs 4200
Question 21 of 25
21. Question
1 points
Arun and Vibha started a business by investing Rs 20,000 and Rs 16,000 respectively. After 4 months, Tisha joined them by investing Rs 24,000. Also Arun and Vibha both added Rs 3000. Find the difference in profits of Arun and Tisha if after a year they get Rs 26,880 as profit.
Correct
Incorrect
Question 22 of 25
22. Question
1 points
Priya started a business by investing Rs 2050. After 7 months she is joined by Varun and
Rekha. If after 7 months Priya withdraws Rs 300, Varun invests Rs 2310 and Rekha invests Rs 2730, then find the share of profit of Varun and Rekha together out of total profit of Rs 11500 after a year.
Correct
Incorrect
Question 23 of 25
23. Question
1 points
Kavita invested Rs 2400 for x months in a business and Vipin invested Rs 2800 for 3
months more than Kavita in the same business. If Kavita got Rs 18000 as her share out of a total profit of Rs 48,000, find for how many months Vipin invested?
Correct
Incorrect
Question 24 of 25
24. Question
1 points
Suman and Chavi started a business by investing Rs 1960 and Rs 2450 respectively.
Chavi got Rs 200 per month for her work. After 5 months, Suman added Rs 340 more and Chavi left. If after a year they get a total profit of Rs 18,850, then what total amount did Chavi get?
Correct
Incorrect
Question 25 of 25
25. Question
1 points
Bhavna, Charu and Shikha invested Rs 3600 for 7 months, Rs 4300 for 9 months and Rs 4500 for 6 months respectively. What is the share of profit of Charu out of a total profit of Rs 12,120?