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### Ratio, Proportion and Partnership

Ex. No. 1.2

1. Ajay, Atul and Anil started a business in a partnership by increasing Rs. 12,000, Rs. 18,000 and Rs. 30,000 respectively. At the end of the year, they earned a profit of Rs. 15,200 in the business. Find the share of each in the profit. [video]

2. Raghu, Madhu and Ramu started a business in a partnership by investing Rs. 60,000, Rs. 40,000 and Rs. 75,000 respectively. At the end of the year they found that they have incurred a loss of Rs. 24,500. Find how much loss each one had to bear. [video]

3. A, B and C are in the partnership. A's capital was Rs. 65,000 and C's capital was Rs. 50,000. The total profit is Rs. 38,000; out of which B's profit was Rs. 15,000. What was B's capital? [video]

4. Paul and Qasim started a business with equal amount of capital. After 8 months Paul withdrew his amount and Raja entered in the business with same of capital. At the end of the year they found that they have incurred a loss of Rs. 24, 500. Find how much loss each one had to bear. [video]

5. Amit and Rohit started a business by investing Rs. 20,000 each. After 3 months Amit withdrew Rs. 5000 and Rohit put in the same amount additionally. How should a profit of Rs. 12,800 be divided between them at the end of the year? [video]

6. John and Mathew started a business with their capitals in the ratio 8:5. After 8 months John added 25% of his earlier capital as further investments. At the same time Mathew withdrew 20% of his earlier capital. At the end of the year they earned Rs. 52000 as profit. How should they divide it between them? [video]

7. Ramesh, Vivek and Sunil started a business by investing the capitals in the ratio 4:5:6. After 3 months Vivek removed all his capital and after 6 months Sunil removed all his capital from the business. At the end of the year Ramesh received Rs. 6400 as profit. Find the profit earned by Vivek and Sunil. [video]

8. Mr. Natarajan and Mr. Gopalan are partners in a company having capitals in the ratio 4:5 and profits received by them are in the ratio 5:4. If Gopalan invested capital in the company for 16 months, how long was Natrajan’s investment in the company? [video]

9. Anita and Nameeta are partners in the business for some years. Their capitals are Rs. 3,00,000 and Rs. 2,00,000 respectively. Yogeeta wants to join the business with the capital of Rs. 4,00,000. They agree that the goodwill will be considered as two times the average of last three years profit. The profit of last three years are Rs. 60,000, Rs. 70,000 and Rs. 50,000 respectively. What are the amounts to tbe paid by Yogeeta and Anita and Nameeta as goodwill? [video]

10. A, B and C are three partners with their capitals in the ratio 4:3:3. They decide to dissolve the partnership. The assets of the company are sold for Rs. 4,00,000 and liabilities (other than capital) of Rs. 60,000. They incur realisation expenses of Rs. 4,000. What is the amount that each partner gets as final settlement after dissolution? [video]