Question
Two friends, R and S, started a venture where R’s capital
was Rs. 2,000 more than S’s. R withdrew his investment after 10 months. If the ratio of their profit shares is 11:12, then find the investment of R.Solution
ATQ,
Let the investment of S be Rs. a.
Investment of R = Rs. (a + 2000)
Profit ratio = [(a + 2000) × 10] : [a × 12] = (5a + 10000) : 6a
ATQ,
(5a + 10000) : 6a = 11 : 12
⇒ 12 × (5a + 10000) = 11 × 6a
⇒ 60a + 120000 = 66a
⇒ 6a = 120000
⇒ a = 20000
Investment of R = 20000 + 2000 = Rs. 22,000
The ratio of speeds of ‘E’ and ‘F’ is 11:5, respectively. If the sum of time taken by them to travel 550 km each is 80 hours, then find the diff...
- Two trucks, ‘P’ and ‘Q’, start from locations ‘U’ and ‘V’ respectively, moving towards each other at the same time. After 10 hours they mee...
The average speed of a bus is 6/7 of the average speed of a car which covers 3500 km in 60 hrs. What is the average speed of the bus?
Anil travels a certain distance by car at a speed of 75 km/h and comes back to the starting point via same route by bike with speed of 45 km/h. Find the...
Train P starts from Lucknow to Dehradun at 11:55 am with an average speed of 16.5 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an averag...
- A person travels from city ‘X’ to city ‘Y’ covering (1/4)th of the total distance in 2 hours and the remaining in 6 hours. If he returns to city �...
A man travelled a total distance of 400 km. He travelled first 300 km on car with a speed of 60 km/h and rest of the distance on bike whose speed is 40 ...
A man reaches his destination in 6 hours at his usual speed. If his speed is reduced by (1/4), he travels 30 km less in the same time. What is his usual...
A car running with a speed of 65 km/hr takes 12 hours to go from 'A' to 'B'. If on the way back from 'B' to 'A', the car takes 20% less time than it tak...
X started to run from point ‘A’ to ‘B’ at a speed of 23 km/hr at 9:00 am and Y started to run from point ‘B’ to ‘A’ at a speed of 20 km/...
