Partnership
- A and B together start a business by investing in the ratio of 4 : 3. If 9% of the total profit goes to charity and A's share is ₹ 1196, find the total profit.
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Let total profit = N
Paid to charity = 9% of N = 9N/100
∴ Balance profit = N - (9N/100) = 91N/100
∴ A's share = [4/(4 + 3)] x (91N/100) = (4/7) x (91N/100)
According to the question,
(4/7) x (91N/100) = 1196Correct Option: A
Let total profit = N
Paid to charity = 9% of N = 9N/100
∴ Balance profit = N - (9N/100) = 91N/100
∴ A's share = [4/(4 + 3)] x (91N/100) = (4/7) x (91N/100)
According to the question,
(4/7) x (91N/100) = 1196
∴ N = (1196 x 7 x 100)/(4 x 91) = ₹ 2300
Hence, total profit = ₹ 2300
- A and B started a business by investing ₹ 35000 and ₹ 20000, respectively. After 5 months B left the business and C joined the business with a sum of ₹ 15000. The profit earned at the end of year is ₹ 84125. What is the share of B in profit ?
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Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
= 35 x 12 : 20 x 5 : 15 x 7
= 84 : 20 : 21
Let A's share = 84N
B's share = 20N
C's share = 21N
According to the question,
84N + 20N + 21N = 84125Correct Option: C
Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
= 35 x 12 : 20 x 5 : 15 x 7
= 84 : 20 : 21
Let A's share = 84N
B's share = 20N
C's share = 21N
According to the question,
84N + 20N + 21N = 84125
⇒ 125N = 84125
⇒ N = 84125/125 = 673
∴ B's share = 20N = (20 x 673) = ₹ 13460
- A and B started a business by investing ₹ 20000 and ₹ 25000, respectively. After 4 months B left and C joined by investing ₹ 15000. At the end of the year, there was a profit of ₹ 23000 What is C's share ?
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A's share : B's share : C's share
= (20000 x 12) : (25000 x 4) : (15000 x 8)
= 240000 : 100000 : 120000
= 24 : 10 : 12 = 12 : 5 : 6
Let A's share = 12N
B's share = 5N
C's share = 6N
According to the question.
12N + 5N + 6N = 23000Correct Option: C
A's share : B's share : C's share
= (20000 x 12) : (25000 x 4) : (15000 x 8)
= 240000 : 100000 : 120000
= 24 : 10 : 12 = 12 : 5 : 6
Let A's share = 12N
B's share = 5N
C's share = 6N
According to the question.
12N + 5N + 6N = 23000
⇒ 23N = 23000
∴ N = 23000/23 = 1000
∴ C's share = 6N = 6 x 1000 = ₹ 6000
- A, B and C do certain investments for time periods in the ratio of 2 : 1 : 8. At the and of the business term, they received the profits in the ratio of 3 : 4 : 2. Find the ratio of investments of A, B and C.
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Let required ratio of investments be
I1 : I2 : I3.
Ratio of investments = Ratio of profits
2I1 : I2 : 8I3 = 3 : 4 : 2
Taking first two terms of the ratio
(2I1) / I2 = 3/4
⇒ I1 / I2 = 3/8 = 6/16
⇒ I1 : I2 = 6 : 16
Taking last two terms of the ratio ,
I2 / (8I3) = 4/2Correct Option: A
Let required ratio of investments be
I1 : I2 : I3.
Ratio of investments = Ratio of profits
2I1 : I2 : 8I3 = 3 : 4 : 2
Taking first two terms of the ratio
(2I1) / I2 = 3/4
⇒ I1 / I2 = 3/8 = 6/16
⇒ I1 : I2 = 6 : 16
Taking last two terms of the ratio ,
I2 / (8I3) = 4/2
⇒ I2/I3 = 16/1
⇒ I2 : I3 = 16 : 1
∴ I1 : I2 : I3 = 6 : 16 : 1
- P and Q make a partnership, P invests ₹ 8000 for 8 months and Q remains in the business for 4 months. Out of the total profit, Q claims 2 / 7 of the profit. How much money was contributed by Y ?
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Q gets 2/7 of the profit.
∴ P gets(1 - 2/7) = 5/7 of the profit
∴ P : Q = 5/7 : 2/7 = 5 : 2
Let the contribution of Q be a.
Then, 8000 x 8 : a x 4 = 5 : 2Correct Option: D
Q gets 2/7 of the profit.
∴ P gets(1 - 2/7) = 5/7 of the profit
∴ P : Q = 5/7 : 2/7 = 5 : 2
Let the contribution of Q be a.
Then, 8000 x 8 : a x 4 = 5 : 2
⇒ 64000/4a = 5/2
⇒ 20a = 128000
∴ a = 128000/20 = ₹ 6400
