Partnership

INTRODUCTION:
When two or more persons they put their money in order to carry their business that deal is known as partnership.
According to the deal, the amount of the profit is divided according to the product of the ratio of their money and duration of investment respectively.

TYPES OF PARTNERSHIP:
There are two types of partnership. Such as:
Simple partnership
Compound partnership

Simple partnership:
In case of simple partnership the duration of investment is constant. So the amounts of profit is divided according to the ratio among their capital respectively.
If the ratio of their amount is a: b: c, then the profit will be divided in the ratio a: b: c respectively

Compound partnership:

In case of compound partnership the duration of investment is not constant. So the amounts of profit is divided according to the product ratio among their capital and duration of investment respectively.
If the ratio of their amount is a: b: c, and duration of investment is x: y: z, then the profit will be divided in the ratio ax: by: cz respectively

TYPES OF PARTNER:
There are two types of partners in partnership business. Such as :
(i) Working partner. The partner who works for the business is known as working partner. (ii) Sleeping partner. The partner who does not works for the business but puts his money, is known as working partner.

Questions

Three partners A, B and C invests Rs16000, Rs18000 and Rs23000 respectively in a business. How should they divide a profit of Rs19380?

A, B and C enter in to partnership. A advances Rs12000 for 4 months, B Rs14000 for 8 months, and C Rs10000 for 10 months. They gain Rs5850 altogether. Find the share of each.

A starts a business with Rs20000. B joins him after 3 months with Rs40000. C puts a sum of Rs10000 in the business for 2 months only. At the end of the year the business gave a profit of Rs5000. How should the profit be divided among them?

A and B entered in to a partnership investing Rs16000 and Rs12000 respectively. After 3 months, A withdrew Rs5000 while B invested Rs5000 more. After 3 months more C joins the business with a capital of Rs21000. The share of B exceeds that of C, out of a total profit of Rs26400 after one year, by:

Manoj got Rs6000 as his share out of the total profit of Rs9000 which he and Ramesh earned at the end of one year. If Manoj investedRs20000 for 6 months, where as Ramesh invested his amount for the whole year, the amount invested by Ramesh was:

Calendar

INTRODUCTION:
There are two types of years, such as: (i) Ordinary year. (ii) Leap year. Ordinary year: It consists of 365 days. In terms of weeks, it consists of 52 weeks and the remainder is 1 which is 1 odd day.
Leap year: The non-century years which are divisible by 4 and the century years divisible by 400 are leap years. It contains 52 weeks and 2 odd days.

The number of odd days in 100 years are 5.
The number of odd days in 200 years are 3.
The number of odd days in 300 years are 1.
The number of odd days in 400 years are 0.

METHOD TO FIND OUT DAY:
To find out the day, we have to find out the number of odd days according to the following 4 steps:
Step I: Number of odd days in the passed century.
Step II: Number of odd days in the passed year.
Step III: Number of odd days in the continuing year in terms of month wise..
Step IV: Number of odd days in the continuing month till the exact day.

Finally n if the number of odd day is 1, it is Monday.
if the number of odd day is 2, it is Tuesday.
if the number of odd day is 3, it is Wednesday.
if the number of odd day is 4, it is Thursday.
if the number of odd day is 5, it is Friday.
if the number of odd day is 6, it is Saturday.
if the number of odd day is 0, it is Sunday.

Example

Find out the day on 9th June 1971.
Solution: In 1900, the number of odd day is 1.
In70 years, the number of odd days are as follows:
If all 70 years are ordinary years, the number of odd days are 70, but out of 70 years 17 are leap years in which 17 odd days more i.e. 87 odd days and finally 3 odd days.
According to month wise Jan 3, Feb 0, Mar 3, Apr 2, May 3, so finally it is 4.
According to date wise, the number of odd day is 2.
Finally, the number of odd day is 3 that’s why the day is Wednesday.

If today is Tuesday, then after 65 days it will be which day?
Solution: nIn 65 days, there are9 weeks and 2 odd days
So the day will be 2 days ahead of Tuesday i.e. Thursday.