Sets and Relations
Complex Numbers 33
Sequences and Series
Locus and Straight Line
Measures of Dispersion
Bivariate Frequency Distribution and Chi Square Statistic
Permutations and Combinations
- Introduction of Permutations and Combinations
- Fundamental Principles of Counting
- Concept of Addition Principle
- Concept of Multiplication Principle
- Concept of Factorial Function
- Concept of Permutations
- Permutations When All Objects Are Distinct
- Permutations When Repetitions Are Allowed
- Permutations When All Objects Are Not Distinct
- Circular Permutations
- Properties of Permutations
- Concept of Combinations
- Properties of Combinations
Three partners shared the profit in a business in the ratio 5 : 6 :7 . They had partnered for 12 months, 10 months, and 8 months respectively. What was the ratio of their investments?
Akash, Sameer, and Sid took a house on rent for once a year for Rs.16236. They stayed together for 4 months and then sid left the house. After 5 more months. Sameer also left the house. How much rent should each pay?
If 4 (P’s Capital) = 6(Q’s Capital) = 10(R’s Capital), then out of the total profit of Rs 5580, what is R’s share?
Three friends had dinner at a restaurant `2/3` When the bill was received, Alpana paid as much as Beena paid and Beena paid `1/2` as much as Catherin paid. What fraction of the bill did Beena pay?
Teena, Leena, and Meena invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, Teena increases her share by 50%. If the total profit at the end of one year is Rs.21,600, then what is Leena’s share in the profit?
Dilip and Pradeep invested amounts in the ratio 2:1, whereas the ratio between amounts invested by Dilip and Sudip was 3:2. If Rs. 1,49,500 was their profit, how much amount did Sudip receive?
Sanjeev started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sanjeev invested another additional amount of Rs.10,000 and Pawan joined them with an amount of Rs.35,000. What will be Rajeev’s share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
Kamala, Vimala, and Pramila enter into a partnership. They invest in Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, Vimala withdraws Rs. 40,000, while at the end of the second year, Pramila withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?