Question
A and B can complete a task together in 12 days, while B
alone takes 24 days to finish it. A began working alone and left after ‘x’ days, after which B completed the remaining work in 18 days. Determine the percentage of the total work completed by A.Solution
Let total amount of work be 16 unitsEfficiency of (A + B) = 16/8 = 2 units/dayEfficiency of ‘B’ = 16/16 = 1 unit/dayAmount of work done by ‘B’ = 12 × 1 = 12 unitsPercentage of work done by ‘A’ = {(16 – 12)/16} × 100 = 25%
In an examination, the average marks obtained by the students is 75. After correcting the quantitative mistakes, the average of 100 students is reduced ...
A set contains ten numbers. The average of the first six numbers is (x - 2), and the average of the last three numbers is (x + 4). The average of the en...
- In a garden having rose, tulip, and lily plants, the ratio of the number of rose, tulip, and lily plants is 3:5:7, respectively, and the average number of ...
The average number of taxis of three colours (black, white and yellow) in a taxi stand is 150. The number of black taxis is 50 more than that of yellow ...
A writer wrote a certain number of pages daily for the first 20 days. In the next 10 days, he wrote at an average of 54 pages per day. This increased hi...
In a cricket match the captain of one of a team scored 24 runs more than the average runs scored by the remaining 7 batsmen of that team who batted in t...
The average weight of 12 students in a dance class is 45 kg. If the weight of 3 instructors is also included, then the new average weight of each person...
The average weight of 4 persons is 40 kg. The heaviest person’s weight is 26 kg more than the lightest person’s weight. If the average weight of the...
A set contains twelve numbers. The average of the first eight numbers is (y - 3), and the average of the last three numbers is (y + 5). The average of t...
A mixture contains oil and water in the ratio 7:5. When 70% of this mixture is replaced with 153 litres of water, the ratio becomes 8: 13. Than, what wi...