Question
A 450 ml solution is composed of water and glucose mixed
in the ratio of 8:7. Determine the amount of glucose that must be added to the solution so that the new ratio of water to glucose becomes reversed, i.e., 7:8.Solution
Let the quantity of glucose which is to add to reverse the ratio be 'x' ml Quantity of water in the initial mixture = 450 X (8/15) = 240 ml Quantity of glucose in the initial mixture = 450 - 240 = 210 ml ATQ, {240/(210 + x) = (7/8) Or, 240 X 8 = 7 X (210 + x) Or, 1920 = 1470 + 7x Or, 1920 - 1470 = 7x Or, 7x = 450s So, 'x' = (450/7) = 64(2/7) ml Therefore,  64(2/7) ml of glucose to be added in the mixture.
5 girls can do a piece of work in 9 days, 4 boys can do the same piece of work in 8 days, 6 men do the same piece of work in 2 days and 4 women can do t...
A can finish a piece of work in 12 days, B in 15 days. They work together for 4 days, then A leaves and C joins B. C is 25% more efficient than B. In ho...
‘A’ and ‘B’ can do a piece of work in 20 days and 30 days, respectively. If they started the work together and worked on it for 7 days, then fin...
'Pooja' can complete a work in 28 days. She started the work and left after 14 days from starting. The remaining work was done by 'Ritika' in 21 days. F...
A 250 litres mixture contains only water and phenyl in the ratio 3:2, respectively. If 60 litres of this mixture is replaced with 90 litres of alcohol, ...
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’ w...
- A man can complete a job alone in 20 days. A woman can complete half of the same job in 15 days. If both work together, how many days will it take them to ...
A alone can do a piece of work in 10 days and B alone in 15 days. In how many days will they finish the work together?
- Ravi and Ramesh can do a job together in 20 days. They worked together for 12 days and then Suresh finished the remaining work alone in 10 days.Find how lo...
Karan, Arjun and Krunal alone can complete a work in 35, 70 and 60 days respectively. All of them started working together but after 3 days from start K...