# Quant Questions – Partnership Problems Set-2

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1).A, B and C started a business. Aโs investment is 2 times of Bโs investment and Bโs investment is 5 times of Cโs investment. Find the profit of B in the total profit of Rs. 25600.
a)ย ย Rs. 7000
b)ย ย Rs. 8500
c)ย ย Rs. 7200
d)ย ย Rs. 8000
e)ย ย None of these
ย
2).Prakash, Sunil and Anil started a business jointly investing, Rs. 11 lakh, Rs. 16.5 lakh and Rs. 8.25 lakh, respectively. The profit earned by them in the business at the end of 3 yrs was Rs. 19.5 lakhs. What will be the 50% of Anilโs share in the profit?
a)ย ย Rs. 4.5 lakh
b)ย ย Rs. 2.25 lakh
c)ย ย Rs. 2.5 lakh
d)ย ย Rs. 3.75 lakh
e)ย ย None of these
ย
3).Three partners started a business with Rs. 80000. At the end of the year, they receive Rs. 1800, Rs.3000 and Rs.4800 as profit. Find the investment of the second person.
a)ย ย Rs. 27000
b)ย ย Rs. 40000
c)ย ย Rs. 15000
d)ย ย Rs. 32000
e)ย ย None of these
ย
4).A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2. How long did B invest his capital?
a)ย ย 12 months
b)ย ย 8 months
c)ย ย 10 months
d)ย ย 14 months
e)ย ย None of these
ย
5).A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, find Aโs share.
a)ย ย Rs. 3240
b)ย ย Rs. 2520
c)ย ย Rs. 2880
d)ย ย Rs. 3360
e)ย ย None of these
ย
6).A and B started a business with investment of Rs. 42000 and Rs. 63000, respectively. After 4 months, B withdraws from the business. At the end of a year, they got Rs.9600 as total profit. Find the share of B.
a)ย ย Rs.5600
b)ย ย Rs.2800
c)ย ย Rs.3200
d)ย ย Rs.6400
e)ย ย None of these
7).Ajay and Abhay started a business with investments of Rs.13000 and Rs.39000, respectively. After 5 months, Arun joins with a capital of Rs.52000. At the end of a year, they got a profit of Rs.14250. Find the share of Arun.
a)ย ย Rs.3650
b)ย ย Rs.5250
c)ย ย Rs.6750
d)ย ย Rs.2250
e)ย ย None of these
ย
8).A and B entered into a partnership with investments of Rs.15000 and Rs.40000, respectively. After 3 months, A left from the business, at the same time, C joins with Rs.30000. At the end of 9 months, they got Rs.7800 as profit. Find the share of B.
a)ย ย Rs. 4800
b)ย ย Rs. 600
c)ย ย Rs. 2400
d)ย ย Rs. 1200
e)ย ย None of these
ย
9).A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs.12375. what is the share of C?
a)ย ย Rs.2250
b)ย ย Rs.3375
c)ย ย Rs.6750
d)ย ย Rs.5625
e)ย ย None of these
ย
10).A, B and C started a business by investing Rs.45000, Rs.55000 and Rs.60000, respectively. At the end of a year, they got a total profit of Rs.11200. Find how much B gets more than A in the profit?
a)ย ย Rs. 700
b)ย ย Rs. 750
c)ย ย Rs. 710
d)ย ย Rs. 780
e)ย ย None of these
Answers:
1).d)ย  2).b)ย  3).e)ย  4).a)ย  5).a)ย  6).c)ย  7).b)ย  8).a)ย  9).b)ย  10).a)
Solutions:
ย
1).A=2B and B=5C
รจ A : B = 2 and B : C = 5 : 1
รจ A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and Cย  = 10 : 5 : 1
Bโs share = (5/16) ร 25600 = Rs. 8000
Answer: d)
ย
2).Ratio of capitals of Prakash, Sunil and Anil = 11 : 16.5 : 8.25 = 4 : 6 : 3 (take common 2.75)
Sum of ratio of capital = 4 + 6 + 3 = 13
50% of Anilโs share in the profit = [(19.5 ร 3) / 13] ร (50/100) = 2.25lakh
Answer: b)
ย
3).The ratio of profit of the three persons = 1800 : 3000 : 4800 = 3 : 5 : 8
Investment of the second person = (5/16) ร 80000 = Rs. 25000
Answer: e)
ย
4).Let the initial investment of A and B be Rs. 2x and Rs. 3x respectively
Let B invested for a period of y months. Then, ratio of capitals of A and B
= (2x ร 9) : (3x ร y) = 1 : 2
= 18x / (3x ร y) = ยฝร 6/y = 1/2 = y = 12
Hence, Bโs investment is for 12 months.
Answer: a)
ย
5).Let Cโs investment = Rs. X
Bโs investment = Rs. (x – 3000)
Aโs investment = (x โ 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)โs investment = Rs. 72000
= x + (x – 3000) + (x + 3000) = 72000ร 3x = 72000ร x = 24000
Hence, Aโs investment = Rs. 27000, Bโs investment = Rs. 21000, Cโs investment = Rs. 24000
Ratio of the capitals of A, B, and C = 27000 : 21000 : 24000 = 9 : 7 : 8
Aโs share = (9/24) ร 8640 = Rs. 3240
Answer: a)
ย
6).Ratio of capitals of A and B = (42000 ร 12) : (63000 ร 4) = 2 : 1
Bโs share = (1/3) ร 9600 = Rs. 3200
Answer: c)
ย
7).Ajay : Abhay : Arun = 13000 ร 12 : 39000 ร 12 : 52000 ร 7
= 12 : 3 ร 12 : 4 ร 7 = 3 : 9 : 7
Arunโs share = (7/19) ร 14250 = Rs. 5250
Answer: b)
ย
8).Ratio of capitals of A, B and C
= (15000 ร 3) : (40000 ร 9) : (30000 ร 6) = 1 : 8 : 4
Bโs share = (8/13) ร 7800 = Rs. 4800
Answer: a)
ย
9).Let the investment of C be Rs. x
The investment of B = Rs. (2x/3)
The investment of A = 3 ร (2x/3) = Rs. 2x
Ratio of capitals of A, B and C = 2x : (2x/3) : x = 6 : 2 : 3
Cโs share = (3/11) ร 12375 = Rs. 3375
Answer: b)
ย
10).Ratio of shares of A, B and C = 45000 : 55000 : 60000 = 9 : 11 : 12
Aโs share = (9/32) ร 11200 = Rs. 3150
Bโs share = (11/32) ร 11200 = Rs. 3850
Bโs share is more than A by (3850 – 3150) = Rs. 700
Answer: a)
ย ย

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