Question
'A' and 'C' started a business by investing Rs. 11,000
and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who invested Rs. 'R'. If at the end of the year, the profits were divided among 'A', 'C', and 'B' in a ratio of 5:5:2, respectively, then find the value of 'R' in terms of 'P' given that 'P' = 1,500.Solution
ATQ, Given:
A invests βΉ11,000 for 12 months = 11,000Γ12 = 132,000 C invests βΉ13,000 for 12 months = 13,000Γ12 = 156,000 B invests Rs.'R' for 5 months = 5R Profit ratio is A : C : B = 5 : 5 : 2 Now, by using ratio of profit to set equation
132,000 : 156,000 : 5R = 5 : 5 : 2 Make A and C equal to match 5:5 = adjust C to 132,000 Now:
132,000:132,000:5R = 5:5:2 = 5R/132,000 = 2/5 5R = 2/5 Γ 132000 = 52,800 R = 10,560 Therefore, B should invest βΉ10,560 to get a 2-part
A and B together can do a work in 5 days. If A can alone do the same work in 15 days, then in how many days B alone will do the same work?
A and B can complete a job together in 30 days; B and C can complete the same job together in 25 days, while C and A can complete the same job together ...
Sufficient food-supply was arranged to last for 30 days for 250 soldiers. If 50 soldiers did not attend the camp, for how many extra days will the food-...
βAβ is 80% more efficient than βBβ. βAβ and βBβ work together for 5 days after which βAβ is replaced by βCβ. βBβ and βCοΏ½...
Shivam and Harish can do a job alone in 90 days and 120 days respectively. Both work together and earn Rs. 5,250. Find Shivamβs earnings.
Suppose Y individuals can complete a task in (Y - 28) days, and (Y + 12) individuals can finish the same task in (Y - 32) days, what is the number of da...
- 40 women working 10 hours a day take 12 days to complete a project. How many women working for 7 hours a day are needed to complete twice the given project...
βAβ and βBβ can do a piece of work in 15 days and 20 days, respectively. They started working together but βAβ left after 3 days. Find the t...
3 men, 4 women and 5 boys can do a piece of work in 15 days, 20 days and 25 days respectively. For first 3 days 3 men and 2 women work together and for ...
Ravi and Rekha, alone can complete a work in 25 days and 50 days, respectively. They started the work together and left after 10 days such that the rem...
Relevant for Exams:
