Partnership
- P, Q and R hire a meadow for ₹ 2920. P puts 10 cows for 20 days, Q puts 30 cows for 8 days and R puts 16 cows for 9 days. Find the rent paid by R.
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Ratio of rents to be paid by P, Q and R Ratio of monthly equivalent
= (10 x 20) : (30 x 8) : (16 x 9)Correct Option: D
Ratio of rents to be paid by P, Q and R Ratio of monthly equivalent
= (10 x 20) : (30 x 8) : (16 x 9)
= 200 : 240 : 144 = 25 : 30 : 18
Hence R's share
= [18/(25 + 30 + 18)] x 2920
= (18/73) x 2920
= 18 x 40
= ₹ 720
- M, N and P invest ₹ 50000 for a business. M invests ₹ 4000 more than N and N invest ₹ 5000 more than P. Out of the total profit of ₹ 70000, what is the share received by M ?
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Let investment of P = ₹ K
Then, investment of N of = ₹ (K + 5000)
and investment of M = (K + 5000) + 4000 = ₹ (K + 9000)
According to the question.
K + (K + 5000) + (K + 9000) = 50000
⇒ 3K + 14000 = 50000
⇒ 3K = 50000 - 14000 = 36000
∴ K = 36000/3 = 12000Correct Option: A
Let investment of P = ₹ K
Then, investment of N of = ₹ (K + 5000)
and investment of M = (K + 5000) + 4000 = ₹ (K + 9000)
According to the question.
K + (K + 5000) + (K + 9000) = 50000
⇒ 3K + 14000 = 50000
⇒ 3K = 50000 - 14000 = 36000
∴ K = 36000/3 = 12000
Clearly, investment of P = ₹ 12000
Investment of N = (K + 5000) = 12000 + 5000 = ₹ 17000
Investment of M = (K + 9000) = 12000 + 9000 = ₹ 21000
M's share : N's share : P's share = 21000 : 17000 : 12000
= 21 : 17 : 12
Hence, M's share = [21/(21 + 17 + 12 )] x 70000
= (21/50) x 70000 = ₹ 29400
- P, Q and R start a business jointly. Twice the capital of P is equal to thrice the capital of Q and the capital of Q is four times the capital of R. Find the share of Q in an annual profit of ₹ 148500.
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Let R's capital = 1
Then, Q's capital = 4
2 (P's capital) = 3 (Q's capital) = 3 x 4 = 12
∴ P's capital = 12/2 = 6
∴ P's share : Q's share : R's share = 6 : 4 : 1Correct Option: A
Let R's capital = 1
Then, Q's capital = 4
2 (P's capital) = 3 (Q's capital) = 3 x 4 = 12
∴ P's capital = 12/2 = 6
∴ P's share : Q's share : R's share = 6 : 4 : 1
Thus, Q's share profit = { 4/(6 + 4 + 1)} x 148500
= (4/11) x 148500
= 4 x 13500
= ₹ 54000
- A starts a business with ₹ 4000. B joins him after 3 months with ₹ 8000. C puts a sum of ₹ 20000 in the business for 2 months only. At the end of year, the business gives a profit of ₹ 16800. How should the profit be divided amongst them ?
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A's share : B's share : C's share
= Ratio of product of investment and time period of investment
= 4000 x 12 : 8000 x (12 - 3) : 20000 x 2
= 4 x 12 : 8 x 9 : 20 x 2
= 6 : 9 : 5
Let,
A's share = 6N
B's share = 9N
C's share = 5N
According to the question,
6N + 9N + 5N = 16800Correct Option: A
A's share : B's share : C's share
= Ratio of product of investment and time period of investment
= 4000 x 12 : 8000 x (12 - 3) : 20000 x 2
= 4 x 12 : 8 x 9 : 20 x 2
= 6 : 9 : 5
Let,
A's share = 6N
B's share = 9N
C's share = 5N
According to the question,
6N + 9N + 5N = 16800
⇒ 20N = 16800
∴ N = 16800/20 = 840
∴ A's share = 6N = 6 x 840 = ₹ 5040
B's share = 9N = 9 x 840 = ₹ 7560
C's share = 5N = 5 x 840 = ₹ 4200
- A and B invest Rs. 3000 and Rs. 4000 in a business. A receives Rs. 10 per months out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investment. In a year A totally receives Rs. 390. What does B receives ?
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Total profit - Remuneration = Balance profit This balance profit is divided in proportion to their investment
∴ (Balance Profit of A) / (Balance Profit of B) = (Investment of A) / (investment of B)
⇒ (390 - 10 x 12) / balance of Profit of B = 3000/4000 = 3/4
(Since remuneration of A is Rs. 10 per month)
⇒ Balance profit of B = (4 x 270)/3 = Rs. 360Correct Option: B
Total profit - Remuneration = Balance profit This balance profit is divided in proportion to their investment
∴ (Balance Profit of A) / (Balance Profit of B) = (Investment of A) / (investment of B)
⇒ (390 - 10 x 12) / balance of Profit of B = 3000/4000 = 3/4
(Since remuneration of A is Rs. 10 per month)
⇒ Balance profit of B = (4 x 270)/3 = Rs. 360
Since B does not get any remuneration, hence B receives Rs. 360 at the end of the year.
