Practice Problems on Partnership –
Set 2
1. A, B and C started a business. A’s investment is 2 times of B’s
investment and B’s investment is 5 times of C’s investment. Find the profit of
B in the total profit of Rs. 25600.
a) Rs. 7000
b) Rs. 8500
c) Rs. 7200
d) Rs. 8000
Answer:
D)
Explanation:
A=2B and B=5C
=> A : B = 2 and B : C = 5 : 1
=> A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and C = 10 : 5 : 1
B’s share = (5/16) × 25600 = Rs. 8000
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
Anil’s share in the profit?
a) Rs. 4.5 lakh
b) Rs. 2.25 lakh
c) Rs. 2.5 lakh
d) Rs. 3.75 lakh
e) None of these
Answer:
B)
Explanation:
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 Anil’s share in the profit = [(19.5 × 3) /
13] × (50/100) = 2.25lakh
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) Rs. 27000
b) Rs. 40000
c) Rs. 15000
d) Rs. 32000
e) None of these
Answer:
E)
Explanation:
The ratio of profit of the three persons = 1800 :
3000 : 4800 = 3 : 5 : 8
Investment of the second person = (5/16) × 80000 =
Rs. 25000
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) 12 months
b) 8 months
c) 10 months
d) 14 months
e) None of these
Answer:
A)
Explanation:
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 × 9) : (3x × y) = 1 : 2
=> 18x / (3x × y) = 1/2
=> 6/y = 1/2 => y = 12
Hence, B’s investment is for 12 months.
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 A’s share.
a) Rs. 3240
b) Rs. 2520
c) Rs. 2880
d) Rs. 3360
e) None of these
Answer:
A)
Explanation:
Let C’s investment = Rs. X
B’s investment = Rs. (x – 3000)
A’s investment = (x – 3000 + 6000) = Rs. (x + 3000)
Now, (A + B + C)’s investment = Rs. 72000
= x + (x – 3000) + (x + 3000) = 72000à3x = 72000àx =
24000
Hence, A’s investment = Rs. 27000, B’s investment =
Rs. 21000, C’s investment = Rs. 24000
Ratio of the capitals of A, B, and C = 27000 : 21000
: 24000 = 9 : 7 : 8
A’s share = (9/24) × 8640 = Rs. 3240
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) Rs.5600
b) Rs.2800
c) Rs.3200
d) Rs.6400
e) None of these
Answer:
C)
Explanation:
Ratio of capitals of A and B = (42000 × 12) : (63000
× 4) = 2 : 1
B’s share = (1/3) × 9600 = Rs. 3200
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) Rs.3650
b) Rs.5250
c) Rs.6750
d) Rs.2250
e) None of these
Answer:
B)
Explanation:
Ajay : Abhay : Arun = 13000 × 12 : 39000 × 12 :
52000 × 7
= 12 : 3 × 12 : 4 × 7 = 3 : 9 : 7
Arun’s share = (7/19) × 14250 = Rs. 5250
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) Rs. 4800
b) Rs. 600
c) Rs. 2400
d) Rs. 1200
e) None of these
Answer:
A)
Explanation:
Ratio of capitals of A, B and C
= (15000 × 3) : (40000 × 9) : (30000 × 6) = 1 : 8 :
4
B’s share = (8/13) × 7800 = Rs. 4800
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) Rs.2250
b) Rs.3375
c) Rs.6750
d) Rs.5625
e) None of these
Answer:
B)
Explanation:
Let the investment of C be Rs. x
The investment of B = Rs. (2x/3)
The investment of A = 3 × (2x/3) = Rs. 2x
Ratio of capitals of A, B and C = 2x : (2x/3) : x =
6 : 2 : 3
C’s share = (3/11) × 12375 = Rs. 3375
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) Rs. 700
b) Rs. 750
c) Rs. 710
d) Rs. 780
e) None of these
Answer:
A)
Explanation:
Ratio of shares of A, B and C = 45000 : 55000 :
60000 = 9 : 11 : 12
A’s share = (9/32) × 11200 = Rs. 3150
B’s share = (11/32) × 11200 = Rs. 3850
B’s share is more than A by (3850 – 3150) = Rs. 700
