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The paid up share capital of a company consists of 1000, 5% preference shares of 100 each and 2000 equity shares of 100 each. In addition to a fixed dividend of 5%, the preference shareholders are also entitled to participate in profit upto 4%?
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The paid up share capital of a company consists of 1000, 5% preference...
Calculation of Preference Shareholders' Entitlement:
- The fixed dividend for preference shares is 5% of the face value of 100 each. Therefore, the fixed dividend per preference share is 5% of 100, which equals 5.
- The preference shareholders are entitled to participate in profits up to 4%. This means that after paying out the fixed dividend of 5%, any remaining profits can be shared with preference shareholders up to 4% of the face value of the shares.
- In this case, the face value of each preference share is 100. Therefore, the maximum participation in profits for preference shareholders would be 4% of 100, which equals 4.
- So, the total entitlement for preference shareholders would be the fixed dividend of 5 plus the participation in profits of 4, which equals 9.

Calculation of Equity Shareholders' Entitlement:
- Equity shareholders do not have a fixed dividend like preference shareholders. They are entitled to receive dividends only after the preference shareholders have been paid their fixed dividend and participation in profits.
- Once the preference shareholders have received their entitlement of 9 per share, any remaining profits can be distributed among the equity shareholders.
- Equity shareholders will receive dividends based on the number of equity shares they hold and the total profits available for distribution after paying the preference shareholders.
- Equity shareholders do not have a fixed percentage of profits like preference shareholders, so their entitlement will depend on the profits available for distribution and the number of equity shares outstanding.
In conclusion, preference shareholders are entitled to a fixed dividend of 5% and participation in profits up to 4%, giving them a total entitlement of 9 per share. Equity shareholders will receive dividends after the preference shareholders have been paid, based on the remaining profits available for distribution.
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In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.The following information is also available:I. The number of participants in javelin was exactly half the number of participants in each of the other events.II. USA sent an equal number of participants in shot put, high jump and long jump.III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.VII. The number of participants in the marathon event sent by all the other countries other than China is equal.Q. How many countries did not send even a single participant in any one event?

In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.The following information is also available:I. The number of participants in javelin was exactly half the number of participants in each of the other events.II. USA sent an equal number of participants in shot put, high jump and long jump.III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.VII. The number of participants in the marathon event sent by all the other countries other than China is equal.Q. Considering all the participants sent by the five countries put together, how many instances were there wherein exactly one participant was sent by a country for an event?

In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.The following information is also available:I. The number of participants in javelin was exactly half the number of participants in each of the other events.II. USA sent an equal number of participants in shot put, high jump and long jump.III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.VII. The number of participants in the marathon event sent by all the other countries other than China is equal.Q. Which country sent the maximum number of participants for the high jump event?

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The paid up share capital of a company consists of 1000, 5% preference shares of 100 each and 2000 equity shares of 100 each. In addition to a fixed dividend of 5%, the preference shareholders are also entitled to participate in profit upto 4%?
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