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Partnership Questions And Answers
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1) A started a business by investing Rs.3000. After 4 months, B joined him with a capital of Rs.2400. At the end of the year, B’s profit share is Rs.1600. What is the total profit of the business?
A.Rs.4600
B.Rs.4800
C.Rs.2300
D.Rs.2400
E.None of these
2) Kavi and Bavi started a business with the investment of Rs.(x – 2000) and Rs.(x + 1000) respectively. After one year, Bavi withdrew 25% of her investment. At the end of two years, the total profit of the business is Rs.2400 and the profit share of A is Rs.1000. Find the value of x?
A.5000
B.8000
C.6000
D.7000
E.9000
3) A and B entered into a partnership business with an investment of Rs.5000 and Rs.8000 respectively. After 1 year, A invested Rs.(x + 1000) more and B invested Rs.2x more. At the end of 2 years, the ratio of the profit shares of A and B is 2: 3 respectively. Find the value of x.
A.1000
B.1500
C.2000
D.2500
E.None of these
4) A started a business and after 3 months, B joined him by investing half of A’s investment. After 7 more months, A left the business and C joined the business by investing 5/4 of A’s investment. If at the end of 1.5 years, profit shares of A and B together is Rs.4500 more than that of C, then find the total profit?
A.Rs.18500
B.Rs.15000
C.Rs.17500
D.Rs.16500
E.Rs.16000
5) P and Q entered into a partnership by investing Rs.1600 and Rs.1800 respectively and time period for P’s investment is 3 months more than that for Q’s investment. If profit share of Q is 78.75% of that of P, then find the time period for P’s investment?
A.9 months
B.10 months
C.8 months
D.12 months
E.6 months
6) A and B entered into a partnership with the initial capital of Rs.5000 and Rs.6000 respectively. After 8 months, A added 1/5 of his initial investment and B withdrew 20% of his investment. At the end of the year, the total profit of the business is Rs.6560, then find the profit share of B?
A.Rs.3360
B.Rs.3380
C.Rs.3420
D.Rs.3340
E.Rs.3190
7) A and B started a business and the investment of B is 3/5 of the total investment of A and B together. If the investment period of A is 18 months and at the end of the business, the profit received by B is 62.5% of the total profit of the business. Find the investment period of B?
A.1 year
B.2 years
C.16 months
D.20 months
E.1.5 years
8) Devi and Deva started the business with the investment in the ratio of 12:7 and the ratio of the investment period of Devi and Deva is x:6. At the end of the business, the profit share of Devi is Rs.1300 less than Deva and the total profit of the business is Rs.16900, then find the value of x?
A.1
B.2
C.3
D.4
E.5
9) A, B and C entered into a partnership in the ratio of (5/2):(4/5):(4/15) and the ratio of the investment period of A, B and C is (1/4):(7/3):(1/6). What is the ratio of the profit share of A, B and C?
A.3:2:1
B.55:143:4
C.45:131:3
D.5:3:1
E.None of these
10) A, B and C started the business with the investment in the ratio of 2:3:1. After 6 months, B left the business. At the end of the year, the total profit of the business is Rs.3600, then find the profit share of C?
A.Rs.1000
B.Rs.1200
C.Rs.800
D.Rs.900
E.Rs.1100
Answers :
1) Answer: A
Profit ratio of A and B = 3000 * 12:2400 * 8
= 15:8
Total profit share of the business = 23/8 * 1600
= 4600
2) Answer: D
Profit ratio of Kavi and Bavi = (x – 2000) * 2:((x + 1000) * 1 + (x + 1000) * 75/100 * 1)
= (2x – 4000):(1.75x + 1750)
(2x – 4000)/(1.75x + 1750) = 1000/1400
17.5x + 17500 = 28x – 56000
5.25x = 36750
x = 7000
3) Answer: A
Amount invested by A = 5000 + (x + 1000 + 5000) = x + 11000
Amount invested by B = 8000 + (2x + 8000) = 2x + 16000
(x + 11000): (2x + 16000) = 2: 3
=>3(x + 11000) = 2(2x + 16000)
=> 3x + 33000 = 4x + 32000
=> x = 1000
4) Answer: D
Let A’s investment = ‘x’ rupees
So, B’s investment = (x/2) rupees
And C’s investment = (5x/4) rupees
At the end of 18 months ratio of profit shares of A, B and C respectively:
[x * 10]: [(x/2) * 15]: [(5x/4) * 8]
10x: 15x/2: 10x
4: 3: 4
Since profit share of A and B together is Rs.4500 more than that of C.
So, total profit = 4500 * (4 + 3 + 4)/ (4 + 3 – 4) = Rs.16500
5) Answer: B
Let time period for Q’s investment = ‘t’ months
So, time period for P’s investment = (t + 3) months
From the question:
1800 * t = 1600 * (t + 3) * (78.75/100)
9t = 8 * (t + 3) * 63/80
90t = 63t + 189
t = 7
So, time period for P’s investment = 7 + 3 = 10 months
6) Answer: A
Profit ratio of A and B = (5000 * 8 + 6000 * 4):(6000 * 8 + (6000 – 1200) * 4)
= 64000:67200
= 20:21
Profit share of B = 21/41 * 6560 = 3360
7) Answer: D
Profit ratio of A and B = 37.5:62.5
= 3:5
(2/5 * 18)/(3/5 * x) = 3/5
36 * 5 = 9x
x = 20
8) Answer: C
Profit ratio of Devi and Deva = 12a * x:7a * 6
= 2x:7
(7 – 2x)/(2x + 7) = 1300/16900
2x + 7 = 91 – 26x
28x = 84
x = 3
9) Answer: E
Required ratio = (5/2 * 1/4):(4/5 * 7/3):(4/15 * 1/6)
= 5/8:28/15:4/90
= 225:672:16
10) Answer: C
Profit ratio of A, B and C = 2 * 12:3 * 6: 1 * 12
= 4:3:2
C’s profit = 2/9 * 3600
= 800
Start Quiz
11) A and B started a business with the investment of 4:5. At the end of one year, the total profit is Rs.3300 and B’s profit share is 1500. What is the ratio of the time period of the investment of A and B?
A.2:1
B.3:2
C.4:3
D.5:4
E.None of these
12) A, B and C started a business with the investment of Rs.2500, Rs.3000 and Rs.1800 respectively. After 6 months, B withdrew Rs.500 and after 2 more months, C added Rs.500 to his initial investment. At the end of one year, the total profit is Rs.4330 and then what is the profit share of B?
A.Rs.1650
B.Rs.1750
C.Rs.1870
D.Rs.1550
E.None of these
13) Mano and Varthan started a business with an investment of Rs.3200 and Rs.4800 respectively. Mano invested for 40% of the year and Varthan invested for remaining time. Find the profit ratio of Mano and Varthan at the end of one year?
A.3:5
B.5:6
C.2:5
D.1:3
E.None of these
14) A, B and C started a business with the investment is in the ratio of 4:7:9 and the investment time period of A, B and C is 8 months, 9 months and 6 months respectively. If the total profit is Rs.7450, what is the profit share of C?
A.Rs.2300
B.Rs.2100
C.Rs.2400
D.Rs.2700
E.None of these
15) Ajay and Vijay started a business with an investment of Rs. (1400 + x) and (1800 + 2x) respectively. After one year, Vijay received a profit of Rs. 3200 out of total profit of Rs.5600. What is the initial investment of Ajay?
A.Rs. 1800
B.Rs. 1500
C.Rs. 2400
D.Rs. 3000
E.Rs. 3200
16) A and B started a business with the investment of Rs.4000 and Rs.8000 respectively and after 4 months, C joined with the investment of Rs.6000. If the total profit at the end of one year is Rs.4800, what is the profit share of C?
A.Rs.1000
B.Rs.1200
C.Rs.1400
D.Rs.1600
E.Rs.2000
17) P, Q and R started a business with the investment is in the ratio of 5: 3: 7. After 4 months, P invested 20 % more than the initial investment and R withdraw three- seventh of its initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 13383?
A.Rs. 51323
B.Rs. 45865
C.Rs. 60967
D.Rs. 57631
E.None of these
18) A and B started a business with the investment of Rs.4000 and Rs.3000 respectively. After 4 months, A added Rs.2500 with his initial investment and after 4 more months, B added Rs.1000 with his initial investment. At the end of one year, the total profit is Rs.5400.What is the profit share of B?
A.Rs.1800
B.Rs.2000
C.Rs.1500
D.Rs.2200
E.None of these
19) A and B started a business with the investment of Rs.6000 and Rs.8000 respectively. After x months, A added Rs.2000 and B added Rs.1000 with their initial investment. At the end of one year, total profit is Rs.4800 and A’s profit share is Rs.2200. Find the value of x.
A.6
B.3
C.4
D.8
E.None of these
20) A, B and C started a business with the investment of Rs.2000, Rs.4800 and Rs.3200 respectively. After 6 months, A added Rs.2x with his initial investment and C added Rs.x with his initial investment. At the end of one year, the total profit share is Rs.2150 and the profit share of A is Rs.500. Find the value of x.
A.1000
B.800
C.1500
D.500
E.2000
Answers :
11) Answer: B
Investment period of A = x
Investment period of B = y
Profit ratio of A and B = 4 * x: 5 * y
= 4x: 5y
A’s profit share = 3300 – 1500 = 1800
4x/5y = 1800/1500
4x/5y = 6/5
x/y = 3/2
12) Answer: A
Profit ratio of A, B and C=2500 * 12:(3000 * 6 + 2500 * 6):(1800 * 8 + 2300 * 4)
=30000:33000:23600
=150:165:118
B’s profit share=165/433 * 4330=1650
13) Answer: E
Investment of Mano = 3200
Investment of Varthan = 4800
Period of investment of Mano = 40% of 12 = 4.8 months
Period of investment of Varthan = 12 – 4.8 = 7.2 months
Profit ratio, Mano: Varthan = 3200 * 4.8: 4800 * 7.2 = 4: 9
14) Answer: D
Profit ratio=4 * 8:7 * 9:9 * 6
=32:63:54
C’s profit share=54/149 * 7450
=2700
15) Answer: B
Ratio of profit share of Ajay : Vijay
(1400 + x) /(1800 + 2x) = (5600-3200)/3200
(1400 + x) /(1800 + 2x) = 2400 / 3200
(1400 + x) /(1800 + 2x) = 3 / 4
5600 + 4x = 5400 + 6x
2x = 200
x= 100
Investment of Ajay = 1400 + 100= Rs. 1500
16) Answer: B
Profit ratio of A, B and C = 4000 * 12:8000 * 12:6000 * 8
= 48:96:48
= 1:2:1
C’s profit share = ¼ * 4800 = 1200
17) Answer: C
The share of P, Q and R
= > [5*4 + 5*(120/100)*8]: [3*12]: [7*4 + 7*(4/7)*8]
= > 68: 36: 60
= > 17: 9: 15
The share of Q = Rs. 13383
9’s = 13383
1’s = 13383/9 = 1487
Total profit = 41’s = Rs. 60967
18) Answer: B
Profit ratio of A and B=(4000 * 4 + (6500 * 8)):(3000 * 8 + (4000 * 4))
=68000:40000
=17:10
B’s profit share= (10/27) * 5400=Rs. 2000
19) Answer: C
Profit ratio=((6000 * x) + (8000 * (12 – x))):(8000 * x + (9000 * (12 – x))
=(96000 – 2000x):(108000 – 1000x)
(96000 – 2000x)/(204000 – 3000x)=2200/4800
11 *(204000 – 3000x) = 24* (96000 – 2000x)
2244000 – 33000x=2304000 – 48000x
60000=15000x
x=4
20) Answer: D
Profit ratio of A, B and C=(2000 * 6 + (2000 + 2x) * 6):(4800 * 12):(3200 * 6 + (3200 + x) * 6)
=(24000 + 12x):(57600):(38400 + 6x)
(24000 + 12x)/(120000 + 18x)=500/2150
43 * (24000 + 12x)=10 * (120000 + 18x)
1032000 + 516x =1200000 + 180x
336x=168000
x=Rs.500
Start Quiz
21) A, B and C started a business and invested Rs.6000, Rs.3200 and Rs.4800 respectively. After 8 months, B added Rs.1600 and C withdrew Rs.400. At the end of the year, the total profit of the business is Rs.2160, then find the profit share of C?
A.Rs.500
B.Rs.900
C.Rs.700
D.Rs.800
E.None of these
22) Bala and Pugal started a business with the investment in the ratio of 8:7. If the investment period of Bala and Pugal is 15 months and x months respectively and at the end of business, the profit share of Pugal is 40% more than the profit share of Bala, then find the investment time period of Pugal?
A.18 months
B.one year
C.2 years
D.20 months
E.None of these
23) A, B and C started a business with the investment of Rs.x, Rs.5400 and Rs.4800 respectively. At the end of the year, the total profit of the business is Rs.11500 and the profit share of C is Rs.4000, then find the profit share of A?
A.Rs.4500
B.Rs.2700
C.Rs.3000
D.Rs.1800
E.None of these
24) A and B started a business with investment of Rs.x and Rs.(x+400) respectively. After 6 months, C joined with them with an investment of Rs.(x+1400). If at the end of the year, the ratio of profit of A and B is 7:8, and then find the investment of C?
A.Rs.2800
B.Rs.3200
C.Rs.5600
D.Rs.4200
E.None of these
25) A, B and C started a business with the investment of Rs.3500, Rs.2100 and Rs.4000 respectively. After x months, C left the business. At the end of the year, the profit of A is Rs.3000 out of the total profit of Rs.6800, then find the value of x?
A.5
B.4
C.7
D.8
E.None of these
26) A started a business with an investment of Rs.3500. After x months, B joined the business with the investment of Rs.4800. At the end of the year, the profit share of A and B is 7:4 respectively, then find the value of (12-x)?
A.9
B.3
C.7
D.5
E.None of these
27) A, B and C started a business with the investment in the ratio of (4/9):(4/7):(1/5). After 4 months, A and B added 25% and 20% respectively of their initial investment and the end of the year, the total profit of the business is Rs.38730, then find the profit share of B?
A.Rs.15720
B.Rs.16840
C.Rs.18360
D.Rs.19540
E.Rs.20120
28) A and B started a business with the investment of Rs.12000 and Rs.13000 respectively. After 7 months, A withdrew 6(2/3)% of his initial investment and C entered the business with the investment of Rs.x. At the end of the year, the total profit of the business is Rs.22000 and the profit share of B is Rs.7800. Find the value of x?
A.14000
B.24000
C.18000
D.22000
E.None of these
29) A, B and C started the business with the investment of Rs.(x + 1000), Rs.(x + 2000) and Rs.x respectively. After one year, A withdrew Rs.3000 and B withdrew Rs.2000 and C added Rs.5000. At the end of two years, the total profit of the business is Rs.4800 and the profit share of A is Rs.1200. Find the value of x?
A.5000
B.5500
C.6000
D.6500
E.4000
30) A started the business with the investment of Rs.x and after 4 months B joined the business with the investment of Rs.(x + 400). At the end of the year, the total profit of the business is Rs.1410 and the profit share of B is Rs.600, then find the initial investment of A?
A.Rs.3200
B.Rs.3000
C.Rs.3600
D.Rs.4000
E.Rs.4200
Answers :
21) Answer: C
Profit share of A, B and C=6000*12: (3200*8+4800*4): (4800*8+4400*4)
=180:112:140
=45:28:35
Profit share of C=2160*35/108=Rs.700
22) Answer: C
(8 * 15)/(7 * x) = 100/140
7x = 8 * 3 * 7
x = 24 months or 2 years
23) Answer: C
Profit share of B and C=5400: 4800=9:8
Profit share of B and C=4000*17/8=8500
Profit share of A=11500-8500=3000
24) Answer: D
Investment ratio of A, B and C=x*12: (x+400)*12: (x+1400)*6
=2x: 2x+800: x+1400
2x/(2x+800)=7/8
16x=14x+5600
x=2800
Investment of C=2800+1400=Rs.4200
25) Answer: C
Ratio of the investment of A, B and C=3500*12:2100*12:4000*x
=105:63:10x
Profit share of A=Rs.3000
Profit share of B=3000*63/105=Rs.1800
Profit share of C=6800-3000-1800=Rs.2000
10x=63*2000/1800
x=7
26) Answer: D
(3500*12)/(4800*(12-x))=7/4
35/(12-x)=7
(12-x)=5
27) Answer: C
Profit ratio of A, B and C = (4/9 * 4 + (4/9 * 125/100 * 8)):(4/7 * 4 + (4/7 * 120/100 * 8)):(1/5 * 12)
= 56/9:54.4/7:12/5
= 1960:2448:756
Profit share of B = 2448/5164 * 38730
= Rs.18360
28) Answer: E
Profit ratio of A, B and C = (12000 * 7 + 11200 * 5):13000 * 12:x * 5
= 140000:156000:5x
156000/(140000 + 156000 + 5x) = 7800/22000
x = 28800
29) Answer: A
Ratio of the Profit share of A, B and C = ((x + 1000) * 1 + (x + 1000 – 3000) * 1):((x + 2000) * 1 + (x + 2000 – 2000) * 1):(x * 1 + (x + 5000) * 1)
= (2x – 1000):(2x + 2000):(2x + 5000)
(2x – 1000)/(6x + 6000) = 1200/4800
6x + 6000 = 8x – 4000
2x = 10000
x = 5000
30) Answer: C
Profit ratio of A and B = (1410 – 600):600 = 810:600
= 27:20
(x * 12)/((x + 400) * 8) = 27/20
9x + 3600 = 10x
x = 3600
Start Quiz
31) Pavan started a business by investing Rs.9000 and after 4 months, Hari joined him. If the annual profit is divided in the ratio of 3: 4, then find the amount invested by Hari.
A.Rs.12000
B.Rs.14000
C.Rs.16000
D.Rs.18000
E.None of these
32) P and Q entered into a partnership business. P invested Rs.7000 and Q invested Rs.9400. After 5 months, R entered with the amount of Rs.8600. If Q withdrew all his investment after 7 months, find the profit of R at the end of the year, if the total profit received is Rs.15000.
A.Rs.4000
B.Rs.4100
C.Rs.4200
D.Rs.4300
E.None of these
33) Nilan invested Rs.12000 in a business. Fazil joined him after n months with an investment of Rs.6000 less than Nilan. If the ratio of the profits received by them after 3 years is 5: 2, then find the time after which Fazil joined.
A.7 months
B.8 months
C.7.2 months
D.8.5 months
E.None of these
34) X, Y and Z started a business. Ratio of investment of X and Y is 5 : a while ratio of investment of Y and Z is 7 : 10. X, Y and Z invested for 8 months, 6 months and 12 months respectively. Then find the value of a, if out of total profit of Rs. 3130, in which X shared a profit of Rs. 700?
A.4
B.6
C.8
D.9
E.None of these
35) A and B started a partnership business with the investment of Rs.2400 and Rs.4200 respectively and after 6 months, C joined with the investment of Rs.3800. At the end of the year, the total profit of the business is Rs.21250, what is the profit share of C?
A.Rs.4750
B.Rs.5250
C.Rs.6300
D.Rs.7250
E.None of these
36) Mithun and Nirmal started a business with the investment of Rs.8000 and Rs.12000 respectively. After 6 months, Divya joined with the investment of Rs.14000. At the end of the year, the total profit of the business is Rs.20250, find the profit share of Mithun?
A.Rs.8000
B.Rs.10000
C.Rs.5000
D.Rs.6000
E.Rs.4000
37) A, B and C started a business with an investment is in the ratio of 2:3:6. After one year, A, B and C added the addition investments of Rs.4800, Rs.3900 and Rs.5600 respectively. At the end of 2 years, the total profit of the business is Rs.33000, find the profit share of B?
A.Rs.8000
B.Rs.9000
C.Rs.12000
D.Rs.10000
E.Cannot be determined
38) P and Q started a partnership business with the investment of Rs.2000 and Rs.3800 respectively. After 4 months, P and Q increased their invested amount by 10% and 50% respectively. What is the profit share of P after completion of 1 year, if the total profit earned in the year is Rs.5400.
A.Rs.1500
B.Rs.1600
C.Rs.1700
D.Rs.1800
E.None of these
39) A, B and C started a business with the investment is in the ratio of 2:3:4 and the investment period of A, B and C is 8 months, 10 months and 6 months respectively. At the end of business, the difference between the profits shares of A and C is Rs.4000, find the total profit of the business?
A.Rs.35000
B.Rs.40000
C.Rs.42000
D.Rs.28000
E.None of these
40) A, B and C started a business with the investment of Rs.13000, Rs.16000 and Rs.15000 respectively. After 4 months, A added Rs.3000 for his initial investment. After 4 more months, C withdrew Rs.3000. At the end of the year, the total profit of the business is Rs.36000. Find the profit share of C?
A.Rs.11200
B.Rs.11400
C.Rs.11600
D.Rs.11800
E.None of these
Answers :
31) Answer: D
Hari’s capital = Rs.x
(9000 * 12)/(8 * x) = ¾
=> x = Rs.18000
32) Answer: D
Required ratio = (7000 * 12): (9400 * 7): (8600 * 7)
= 60: 47: 43
Profit of R = 15000 * 43/150 = Rs.4300
33) Answer: C
(12000 * 36): (6000 * (36 – n)) = 5: 2
=> 144 = 180 -5n
=> n = 7.2 months
34) Answer: B
Ratio of investment of X, Y and Z is = 35 : 7a : 10a
So, the profit sharing ratio of X, Y and Z is = 35 × 8 : 7a × 6 : 10a × 12
= 140 : 21a : 60a
Then, according to the question,
140/(140 + 21a + 60a) = 700/3130
140/(140 + 81a) = 70/313
43,820 = 9800 + 5670a
5670a = 43,820 – 9800
5670a = 34,020
a = 6
35) Answer: A
Profit ratio of A: B: C = (2400 * 12): (4200 * 12): (3800 * 6)
= 24: 42: 19
C’s profit share = 19/85 * 21250
= Rs.4750
36) Answer: D
Profit ratio of Mithun, Nirmal and Divya = 8000 * 12:12000 * 12:14000 * 6
= 96:144:84
= 8:12:7
Profit share of Mithun = 8/27 * 20250
= Rs.6000
37) Answer: B
Profit ratio of A, B and C = (2x * 1 + (2x + 4800) * 1):(3x * 1 + (3x + 3900)):(6x * 1 + (6x + 5600) * 1)
= 4x + 4800:6x + 3900:12x + 5600
Profit share of B = ((6x + 3900)/(22x + 14300)) * 33000
= 3(2x + 1300)/11(2x + 1300) * 33000
= 9000
38) Answer: B
P: Q = (2000 * 4 + 1.1 * 2000 * 8): (3800 * 4 + 1.5 * 3800 * 8)
= 8: 19
Profit share of P = 8/27 * 5400 = Rs.1600
39) Answer: A
Profit ratio of A, B and C = 2 * 8:3 * 10:6 * 4
= 16:30:24
= 8:15:12
Total profit = 35/4 * 4000 = 35000
40) Answer: A
Profit ratio of A, B and C = (13000 * 4 + 16000 * 8):(16000 * 12):(15000 * 8 + 12000 * 4)
= 180:192:168
= 15:16:14
Profit share of C = 14/45 * 36000
= Rs.11200
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