Partnership
- A, B, C entered into a partnership and their capitals are in the proportion of 1/3 : 1/4 : 1/5. A with draws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847 A's share is ?
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Ratio of capital in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 : 12.
Ratio of investment for the whole year = (20 x 4 + 10 x 8) : (15 x 12) : (12 x 12) = 40 : 45 : 36Correct Option: B
Ratio of capital in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 : 12.
Ratio of investment for the whole year = (20 x 4 + 10 x 8) : (15 x 12) : (12 x 12) = 40 : 45 : 36
∴ A's share = Rs. (847 x 40)/121 = Rs. 280
- Ajay started a business investing ₹ 25000. After 3 months, Vijay joined him with a capital of ₹ 30000. At the end of the year, they made a profit of ₹ 38000. What will be the Ajay's share in the profit ?
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Ajay's share : Vijay's share
= 25000 x 12 : 30000 x (12 - 3)
= 25 x 12 : 30 x 9 = 10 : 9
Ajay's share = 10/(10 + 9) x 38000Correct Option: D
Ajay's share : Vijay's share
= 25000 x 12 : 30000 x (12 - 3)
= 25 x 12 : 30 x 9 = 10 : 9
Ajay's share = 10/(10 + 9) x 38000
= 10/19 x 38000
= 10 x 2000 = ₹ 20000
- Srikant and Vividh started a bussiness investing amounts of ₹ 185000 and ₹ 225000, respectively, If Vividh's share in the profit earned by them is ₹ 9000, what is the total profit earned by them together ?
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As we know,
Ratio of profits = Ratio of investments
∴ Srikant's share : Vividh's share = 185000 : 225000 = 37 : 45
Let Srikant's share = 37N
Vividh share = 45NCorrect Option: B
As we know,
Ratio of profits = Ratio of investments
∴ Srikant's share : Vividh's share = 185000 : 225000 = 37 : 45
Let Srikant's share = 37N
Vividh share = 45N
According to the question,
45N = 9000
∴ N = 9000/45 = 200
∴ Total profit = 37N + 45N = 82N
= 82 x 200 = ₹ 16400
- A, B and C entered into a partnership by making investment in the ratio 3 : 5 : 7. After a year C invests another Rs. 337600 while A withdraws Rs. 45600. The ratio of investments then changes to 14 : 29 : 167. How much did A invest initially ?
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Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily.
Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167Correct Option: A
Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily.
Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167
⇒ (3k - 45600) / 5k = 14 / 29
⇒ k = 77788.24
∴ A investment initially Rs. (77788.24 x 3) = Rs. 233364.71
- Four milkmen rented a pasture A grazed 18 cows for 4 months, B, 25 cows for 5 months and D, 21 cows for 3 months. If A's share of rent is Rs. 360, the total rent of the field is ?
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Ratio of rent = (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent = Rs. N
Then A's share = Rs. (N x 72)/325 = Rs. 72N / 325Correct Option: C
Ratio of rent = (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent = Rs. N
Then A's share = Rs. (N x 72)/325 = Rs. 72N / 325
∵ 72N / 325 = 360
∴ N = (325 x 360)/72 = Rs. 1625
