A, B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find their respective shares in annual profit of 40,500.
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Solution
A : B : C = 35000:45000:55000 = 7:9:11
A's share = (7/27) × 40500 = Rs 10500
B's share = (9/27) × 40500 = Rs 13500
C's share = (11/27) × 40500 = Rs 16500
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, at the end of 3 years ?
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Solution
Aman : Rakhi : Sagar = (70,000 × 36) : (1,05,000 × 30) : (1, 40, 000 × 24) = 12: 15: 16.
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by :
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Solution
A: B: C = 16000 × 3 + 11000 × 9: 12000 × 3 + 17000 × 9: 21000 × 6
= 147: 189: 126 = 7: 9: 6
Difference of B and C’s share = Rs. =3600.
A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C’s capital is:
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Solution
A : B : C = 500 : 300 : 200 = 5 : 3 : 2
Let their capitals be 5x, 3x and 2x respectively.
Then, 5x = 10000 ⇔ x = 2000.
∴ C’s capital = 2x = Rs. 4000.
If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital), then out of a profit of Rs. 4650, C will receive.
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Solution
Let 4A = 6B = 10C = k. Then, A = ,B = and C =
∴ A:B:C =
Hence C's share = Rs.
Karim invests Rs.30000 for one year in a shop. How much his partner Raunaq should invest in order that the profit after one year may be in the ratio 2: 3?
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Solution
⇒ 2 x = 90000
Or x = 45000
Ravi and Ashok started a business by investing Rs 85000 and 15000 respectively. if ravi invests his money for two years and ashok invests his money for 24 months then their respective ratio of profit is:
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Solution
Ravi : Ashok = 85000 : 15000 = 17 : 3 (∵ time is equal)
Pallavi and Rohit are partners in a business. Pallavi invests Rs. 35,000 for 8 months and Rohit invests Rs.42, 000 for 10 months. Find the share of Pallavi in a profit of Rs. 31570.
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Solution
Ratio of their shares = (35000 × 8): (42000 × 10) = 2: 3.
Pallavi’s share = Rs. (31570 × 2/5) = Rs. 12628.
Alok started a business investing Rs. 9000. After 3 months Shabir joined him with a capital of Rs. 12000. If at the end of 2 years, the total profit made by them was Rs. 9600, what will be the difference between their shares?
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Solution
Alok : Shabir = 9000 × 24 : 12000 × 21 = 6 : 7. Difference of their shares = Rs. [9600 × (7/13) - 9600 × (6/13)] = Rs. (9600/13) = Rs.738.42.
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which he was to receive 5% of the profits separately. The profit earned was Rs. 7400. Calculate the share of B in the profit.
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Solution
For managing, A receives = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 – 370) = Rs. 7030.
Ratio of their investments = (6500 × 6): (8400 × 5): (10000 × 3) = 39000: 42000: 30000
= 13: 14: 10.
∴ B' s share = Rs.