Question
It takes "Aditi" 12 days alone herself to complete a
task. The differences in efficiency between "Beena" and "Aditi" are 20% and 25%, respectively. "Aditi" and "Beena" begin working together, but 3 days in, "Aditi" leaves. Calculate how long it took "Beena" and "Chinky" working together to complete the remaining tasks.Solution
ATQ, When work is constant, ratio of efficiency is inverse of ratio of time taken. So, ratio of efficiency of 'Aditi' and 'Beena' = 5:6 So, ratio of time taken by 'Aditi' and 'Beena' to finish the work = 6:5 Time taken by 'Beena' alone to finish the work = 12 × (5/6) = 10 days And ratio of efficiency of 'Beena' and 'Chinky' = 4:5 So, ratio of time taken by 'Beena' and 'Chinky' to finish the work = 5:4 Time taken by 'Chinky' alone to finish the work = 10 × (4/5) = 8 days Let, the total work be 120 units {LCM of (8, 10 and 12) } So, efficiency of 'Aditi' = (120/12) = 10 units/day Efficiency of 'Beena' = (120/10) = 12 units/day Efficiency of 'Chinky' = (120/8) = 15 units/day Work done by 'Aditi' and 'Beena' together in 3 days = (10 + 12) × 3 = 66 units Remaining work = 120 - 66 = 54 units So, the time taken by 'Beena' and 'Chinky' together to finish the remaining work = {54/(12 + 15) } = (54/27) = 2 days
30% of ‘x’ added to 70% of ‘y’ gives 140. If ‘y’ is 60 more than ‘x’, find the value of (2x – y)
A person sells each package of snacks for Rs. 10 each. On Monday, he sold 100 packages which was 25 more than that on Tuesday but 10 less than that on W...
The income of P is 2/3rd of the income of Q and income of R is 40% more than the income of Q. Income of Q is Rs.21000 and expenditure of P is...
In a town of 3000 residents, 70% are men, and 30% of them are literate. If 25% of the total population is literate, what percentage of the women are ill...
Tim spends 22% of his monthly income in travelling. He spends 25% of his monthly income on household expenses and spends 36% of his monthly income on fa...
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 50000 which is 4 times the monthly income of ‘C’. If ‘A’ spends 55% of his...
A person spent 10% of his monthly income on food and 50% of the remaining on rent. If amount spent on rent is Rs 1350, then find the amount spent...
During a school council election, candidate X received 61% of the votes and beat candidate Y by a margin of 4,880 votes. Determine how many votes candid...
If decreasing 90 by k% gives ihe same result as increasing 60 by k%, then k% of 120 is how much per cent of [(K + 20)% of 150]
- The population of a small town grows by 18% per year. If the population two years later is estimated to be 41,472, what is the population now?
