Question
Mike and Jenny alone can complete a task in 24 days and
40 days respectively. They aim to finish the work in 'd' days. What percentage increase in Jenny's efficiency is required for them to finish the work in 'd/2' days?(Can calculate approx. value)Solution
ATQ, Total work = LCM of 24 and 40 = 120 units Efficiency of Mike = 120 / 24 = 5 units/day Efficiency of Jenny = 120 / 40 = 3 units/day Combined efficiency = 5 + 3 = 8 units/day Original time (d) = 120 / 8 = 15 days Required time (d/2) = 7.5 days Required total efficiency = 120 / 7.5 = 16 units/day Increase needed for Jenny = 16 - 5 = 11 units/day Percentage increase = ((11 - 3) / 3) Γ 100 = 266.67% or 267%
The ratio of incomes of A and B is 5 : 7. Each of them saves Rs 600 per month. The ratio of their expenditures is 3 : 5. What is B's monthly income?
Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2, Had 4 more students passed, then the ratio of succes...
If the ratio of income of Aman and Rahul is 5:4 and the ratio of their expenses is 3:2 and each saved Rs 1600 then find the income of Aman.
A factory manufactures three types of products: X, Y, and Z. The average production rates are 50Β units per hour for product X, 80 units per hour for p...
A company has 600 male employees and 400 female employees. When (x + 50) males and 2x females are recruited, the ratio becomes 7:5. Find the value of οΏ½...
If A:B = 4:5 and C:B = 3:4, then determine the value of (A:B:C) .
A boy is supposed to distribute Rs.4400 among his three friends P, Q and R in the ratio of 4:2:5 respectively, but mistakenly he distributed in the rati...
- In a park, the ratio of adults to children is 7:5. If the number of adults was decreased by 21 and children increased by 14, then their numbers become equa...
- A total amount of βΉ24,750 is divided among βMβ, βNβ, βOβ, and βPβ in the ratio of 4:7:5:6. What is the share of βNβ?
