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The profit – sharing ratio of two partners is 2 : 3 if another partner is added with 40% of the profit – sharing ratio and the profit – sharing ratio of the initial two partners remains the same. Find the new profit – sharing ratio.

Correct Answer: 6 : 9 : 10
The initial profit – sharing ratio of the two partners = 2 : 3 The new ratio: The share of the third partner = 40% The remaining = 60% The ratio of the first two partners from the remaining = 2 : 3 2 : 3 from 60% = 24%, 36% The ratio = 24 : 36 : 40 = 6 : 9 : 10

Which of the following are correct regarding rights of partners?
1. A partner has the right to allow the admission of a new partner.
2. Every partner has a right to take part in the management of business.
3. Every partner has a joint ownership of partnership property.
4. Every partner has a right to share the profit not the losses with other partners.
5. Every partner has a right to inspect the books of account and have a copy of the same.
6. In case of emergency, a partner has a right to act as a man of prudence.
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দুইজন অংশীদারের মুনাফা বন্টন অনুপাত ২:১। তৃতীয়জনকে ১/৫ অংশ মুনাফা বণ্টনের চুক্তিতে তারা ব্যবসায়ের নতুন অংশীদার হিসেবে গ্রহণ করলে মুনাফা বণ্টনের নতুন অনুপাত কত? (The profit sharing ratio of two partners is 2:1. What is the new profit sharing ration of partnership business if they accept another partner with an agreed profit sharing ration of 1/5 of total business profit?)

R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R given $${\frac{1}{4}^{{\text{th}}}}$$ of his share and S given $${\frac{2}{5}^{{\text{th}}}}$$ of his share to new partner. New profit sharing ratio of R, S and T will be

X and Y are partners in a firm sharing profits in the ratio of 3 : 1. They admit Z as a partner with new profit sharing ratio of 2 : 1 : 1. The amount of goodwill brought in by new partner will be credited to

X and Y are partners sharing the profit in the ratio of 3 : 2. They take Z as the new partner who is supposed to bring Rs. 25,000 against capital and Rs. 10,000 against goodwill, New profit sharing ratio is 1 : 1 : 1. Z is able to bring only his share of capital. How this will be treated in the books of the firm?

Arrange the following steps of 'adjustment of old partners' capital on the basis of incoming partner's capital in a correct order.
1. Ascertain the present capital of the old partners.
2. Calculation of total capital of firm on the basis of new partner's capital.
3. Finding the surplus/deficit capital.
4. Determining the new capital of each partner.
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X and Y were partners with a profit – sharing ratio of 4 : 3. If Z is admitted to the firm with 30% profit sharing percentage, find the new profit – sharing ratio.

A, B and C were partners in a firm with the profit – sharing ratio 9 : 8 : 10. If B retires in a new year and his share was distributed among a and C in the ratio 1 : 3, find the new profit – sharing ratio of A and C.

Arrange the steps of adjustment of partner's capital on the admission of a new partner in sequence.
1. Calculate the adjusted capital of old partners.
2. Calculate the proportionate capital of a new partner.
3. All adjustments should be made.
4. Calculate the total capital of new firm.
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The initial price of an article is decreased by 20% but the selling price remains constant. If the initial profit was 500 rupees, find the new profit. It is known the initial profit percent was 20% of cost price.