Question
An integer 'p' is added to each of 8, 14, 30 and 40 so
that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.Solution
Let 'p' be the number that must be added to each of the given numbers so that they become proportional. i.e. (8 + p) :(14 + p) ::(30 + p) :(40 + p) So, (8 + p) ÷ (14 + p) = (30 + p) ÷ (40 + p) Or, (8 + p) (40 + p) = (30 + p) (14 + p) Or, 320 + 8p + 40p + p2 = 420 + 30p + 14p + p2 Or, 320 + 48p = 420 + 44p Or, 4p = 100 Or, 'p' = 25 Required value = p + 4 = 25 + 4 = 29
If 18 men working 18 hours a day can make 18 quilts in 18 days, then in how many days 27 men working 12 hours per day will make 27 quilts?
'A' alone can do some work in 20 days. 'B' is 60% more efficient than 'A'. 'A' worked alone for 12 days and left. How much time (in days) does 'B' need ...
40 tailors can stitch a batch of dresses in 30 days. If 20 tailors started the job and after 15 days ‘u’ more tailors joined them such that the rema...
'A' alone can do some work in 15 days, 'B' alone can do the same work in 30 days. If they work on alternate days, starting with 'B', then the work will ...
162 unit of work can be completed by P alone in 27 days. P started working alone and joined by Q after 12 days such that they completed the remaining wo...
- ‘A’ takes 20 days to do some work. If ‘B’ is 20% more efficient than ‘A’, then find the time taken by them to finish 99% of the work together.
- Suman alone can complete a work in 40 days. Pooja is twice as efficient as Suman. Find the percentage of work completed by Suman and Pooja together in 8 da...
A and B finish a job together in 36 days, while B and C together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days wi...
P and Q can complete a piece of work individually in 12 days and 20 days, respectively. They start working together, but after 6 days, Q leaves the work...
‘A’ and ‘B’ can complete a certain work in 10 days and 15 days, respectively. They started working together and worked till completion of the wo...
Relevant for Exams:
