Question
P alone can finish a piece of work ‘M’ in 12 days
while Q takes 8 days to finish it alone. P, Q and R working together can finish the work ‘N’ which is 10 times of work ‘M’ in 12 days. How long will R take to finish work ‘N’, when working alone?Solution
Let the work ‘M’ = 24 units (LCM of 12 and 8) Efficiency of P = 24/12 = 2 units Efficiency of Q = 24/8 = 3 units Efficiency of P, Q and R = (24 × 10)/12 = 20 units per day Efficiency of R = 20 – (2 + 3) = 15 units per day Time taken by R to finish work ‘N’ = 240/15 = 16 days
- An exam consists of two subjects: Computer and General Knowledge. Anita got 87 marks out of 95 in Computer and 72 out of 80 in General Knowledge. What is h...
Income of A is 55% of the Income of B and A together. The saving of B is 45% of his Income and equals to Rs. 8100. Find the difference between the incom...
In an election with only two candidates, 15% of the eligible voters did not cast their votes. Out of the total votes cast, 105 votes were declared inval...
A number is first increased by 25% and then decreased by 25%. If the net change in the number is 187.5, then find the original number.
In a two digit positive number, the digit in the unit’s place is equal to the square of the digit in ten’s place, and the difference between...
A man spent 20% of his income in May. If his savings is increased by 20% in June and becomes Rs. 11520, then find the income of man in May.
The marks obtained by X is 40% more than Y, and the marks obtained by Z is 80 more than the difference of the marks obtained by X and Y. If Z obtained 2...
- Out of a city's population, 30% are not eligible to vote. Of those who are eligible, 50% are females. If 2/5 of the eligible males and 3/10 of the eligible...
In an election between two candidates, winner got 40% of total valid votes. If total number of votes cast were 1000 out of which 6% were invalid, then f...
- During a club election between members 'X' and 'Y', 10% of all votes were invalid. If 'X' got 52% of the valid votes and 'Y' secured 21,168 valid votes, de...
