Question
A, B, and C invest in a business. A invests
₹40,000 for 12 months, B invests ₹60,000 for 8 months, C invests ₹50,000 for 6 months. If the total profit at the end of the year is ₹1,26,000, what is A’s share of the profit?Solution
Compute “capital × time”: A: 40,000 × 12 = 4,80,000 B: 60,000 × 8 = 4,80,000 C: 50,000 × 6 = 3,00,000 Ratio A : B : C = 4,80,000 : 4,80,000 : 3,00,000 Divide by 60,000 → 8 : 8 : 5 Total parts = 8 + 8 + 5 = 21 Total profit = ₹1,26,000 1 part = 1,26,000 ÷ 21 = 6,000 A’s share = 8 parts = 8 × 6,000 = ₹48,000
‘M’ and ‘N’ can do a piece of work in 9 days and 18 days, respectively. ‘M’ started working alone and was replaced by ‘N’ after 3 days. ...
P and Q can individually complete a piece of work in 30 days and 45 days respectively. If R alone takes 1.5 times the time taken by P and Q together to ...
- Ajay alone can finish 60% of a task in 18 days. Vijay takes 15 days longer than Ajay to complete the entire task. When Vijay and Chirag work together, they...
Billy, Tony and Mike were three workers, employed by a Contractor. They completed the whole work in 20 days. Initially all of them worked together, but ...
'A' and 'B' together can do a piece of work in 12 days while 'B' and 'C' together can do the same work in 15 days. 'A' started the work alone and worke...
Anu can finish 25% of an assignment in 10 days, whereas Tanya can do 30% in 12 days. Anu works on it for 16 days and leaves. How long will Tanya take to...
- The time taken by ‘X’, ‘Y’ and ‘Z’ to complete a task is ‘6n’ days, ‘9n’ days and ‘12n’ days, respectively. What is the ratio of th...
‘D’ alone can finish a job in 50 days, while ‘D’ and ‘E’ together can complete it in 20 days. If ‘E’ worked alone for 22 days and then l...
There is enough food in a camp to last for 60 days if each of the 30 soldiers present at the camp eat 4 times a day. After 40 days, 10 soldiers left th...
Ravi can finish a task in 18 days. If Ravi and Rohan work together, they can complete the task in 10 days. How many days would Rohan alone take to finis...
