Question
A mixture contains milk and water in the ratio of 7:12.
When 12 litres of milk and 6 litres of water are added to the mixture, the new ratio of milk to water becomes 20:27. Find the final quantity of the mixture after the additions.Solution
Let the initial quantity of milk and water be '7a' and '12a' litres respectively. So, (7a + 12) :(12a + 6) = 20:27 Or, 27 X (7a + 12) = 20 X (12a + 6) Or, 189a + 324 = 240a + 120 Or, 51a = 204 Or, 'a' = 4 Final quantity of mixture = 7a + 12a + 12 + 6 = 19a + 18 = 19 X 4 + 18 = 94 litres
‘A’ alone can do some work in 10 days. ‘B’ and ‘C’ together can do the same work in 4 days. If ‘B’ is half as efficient as ‘A’, then...
25 men can complete a piece of work in 13 days. One man starts the work and after every day one more man joins the work and this continues till the work...
Three workers P1, P2 and P3 got work from the contractor. In 30 days, ‘P1’ completed 30% of work. ‘P2’ is 20% less efficient tha...
A’ and ‘B’ alone can do a certain work in 20 days and 30 days, respectively. Both started the work together but after ‘x’ days ‘A’ left th...
A, B and C can do a piece of work in 5, 8 and 10 days respectively. They start working together but C leaves after working 1 days and B, 2 days before t...
G' can complete (3/4) of a job in 24 days, while 'G' and 'H' together can complete the same job in 16 days. Find the time taken by 'H' to complete 25%...
A work can be completed by ‘A’ and ‘B’, alone in 20 days and 10 days, respectively. Find the number of days taken by ‘C’ to complete the sam...
A, B and C can complete the whole work in 20 days. A starts the work and works for ‘x’ days while B and C complete the remaining 3/5 of the ...
30 men can complete a work in 12 days. After 9 days, 15 more men joined them. How many days will they now take to complete the remaining work?
P, Q and R can do some work in 11 days, 20 days and 55 days respectively. In how many days can the work be done, if P gets the assistance of Q and R on ...
Relevant for Exams:
