Question
A started a business with an investment of Rs.1500.
After some months, B joins the business with an investment of Rs.3600 and after two more months C joins the business with Rs.2500. If the annual profit share of A and B is equal, then find for how many months C invested his money?Solution
Let B joined after βxβ months. => 1500 x 12 : (12 - x) x 3600 : 2500 x (12 β x β 2) => 1500 x 12 : (12 - x) x 3600 : 2500 x (10 β x) => 1500 x 12 = (12 - x) x 3600 => 12 β x = 5 => x = 7 C invested his money = 10 β x = 3 months
Worker A can build a wall alone in 30 days. When A and B work together, they can complete the wall in 16 days. If B starts building the wall alone and w...
A and B together can complete a piece of work in 12 days while A alone can complete 70% of the work in 14 days. Find the time taken by B to compl...
A can complete `1/4` of a work in 6 days and B can complete `2/5` of the work in 12 days. In how many days can both A and B together complete the work?<...
- Pipes X and Y can fill a water tank individually in 24 minutes and 36 minutes, respectively. A third pipe Z can empty the tank in 72 minutes. If all three ...
A and B finish a job together in 36 days, while B and C together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days wi...
40 men can complete a piece of work in 24 days. All of them started the work together, after 6 days how much more men will be required to complete the s...
X can do a piece of work in 15 days. He worked at it for 3 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?
A and B can finish a piece of work in 20 days and 30 days respectively. Both work on alternate days. In how many days will the work be completed when A ...
A and B can complete a piece of work in 12 days, B and C in 15 days and A and C in 20 days. In how many days can B alone complete the work?
A can complete a work in 20 days. B takes 10 days less than A to complete the same work. In how many days can both of them together complete 90% of the ...