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A garrison has provisions for certain number of days. After 15 days, \( \dfrac{1}{4}th\) of the men left and if it as found that the provisions will now last just as before. How long was that?
Required number of days
If 4 women or 3 men earn ₹ 960 in a day then the earning of 11 women and 7 men in a day will be
One day earning of 4 women or 3 men ₹ 960
One day earning of 1 women or 1 men
One day earning of 11 women or 7 men
₹ 2640 or ₹ 2240
Total earning = ₹ 4880
A university provides fooding and lodging due to festive seasons some of the students left and 100 students stays in the hostel. There is a food provision for 20 days for these students. How long the food will last if 25 more students decide to stay back in the hostel?
The number of students
Provision for food days
Finally the number of students = 125
Number of days
If the rent for grazing 40 cows for 20 days is ₹ 370, how many cows can graze for ₹ 111 for 30 days?
x is directly proportional to y when x = 24, y = 40. Find x when y = 130
If 10 men and 14 women can earn ₹ 1750 per day. How much would 10 men and 10 women can earn per day?
1 man and 1 woman can earn
per day
10 men and 5 women can earn
= ₹ 1250 per day
If a weight of 300 kg produces an extension of 5.8 meters, then find the weight which will produce an extension of 34.8 meters.
Let the weight of y produces an extension of 17.4 meters.
x can do a piece of work in 24 days, while y can alone do it in 16 days. With the help of z they finish it in 8 days. Find in how many days z can do the work alone?
z can do the work in 48 days
A cistern can be filled by two pipes in 12 min and 16 min separately. If both fill pipes are opened together, when will cistern be filled?
The water will be filled in min or min
Walking \(\dfrac{7}{6}th \) of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school.
Let the usual rate be x km/min and distance be y km then time is
Two pipes A and B can fill a tank in 16 hours and 20 hours respectively. If both the pipes are opened simultaneously how much time will be taken to fill the tank?
Part of tank filled by
Part of tank filled by
Part of tank filled by
Therefore both the pipes together will fill the tank in hours
If 40 men can complete a work in 10 days working 10 hours a day, then find the number of men required to finish the work in 5 days if they work 10 hours in a day.
The first worker can finish the work in 36 days and second worker can do the same work in half the time taken by the first worker. If they take it up the work together then in how many days can they finish the work in 1 day?
A’s one day work
B’s one day work
(A+B)’s one day work
Two pipes can fill a cistern in 12 hours and 15 hours respectively. Due to leakage in the bottom, 30 minutes extra are taken for the cistern. How much time will the leak take to empty the tank?
Work done by two pipes in 1 hour
Time taken hours
Due to leakage, time taken
Work done by two pipes
Work done by the leak in 1 hour
A fort is provisioned for 42 days, after 10 days a rein for cement of 200 men arrives and the food will now last 24 days. How many men were there in the fort?
(inverse variation)
M agreed to purchase a gift for ₹ c. If 3 men drop out, how much more will each have to contribute?
The extra money each have to contribute
A can do a job in 20 days, B in 30 days, C in 60 days. If A is helped on every 3rd day by B and C then in how many days the job is finished?
Part of work done by A, B, C together in 3 days
If \(\dfrac{1}{5}:\dfrac{1}{x}=\dfrac{1}{x}:\dfrac{1}{125} \), the value of x is
When \(x = 2,\ 7,\ 11……, y = 8,\ 28,\ 44….\) Then \(x \) and \(y \) are in
constant
x and y are in direct proportion
A photograph of a bacteria enlarged 50,000 times, attains a length of 5 cm. what is the actual length of the bacteria?
A can do a piece of work in 15 days and B can do alone in 10 days. B works at it for 6 days and then leaves. A alone can finish the remaining work in
Total time taken by A and B
R
emaining work
A alone will take
A shopkeeper has enough money to buy 45 cycles worth Rs 600.00 each. If each cycle were to cost Rs 15 more then number of cycles he will be able to buy is
Total cost
New cost of one cycle
Number of cycle
A bag contains 25 paisa, 10 paisa, 5 paisa coins in the ratio 2:3:4. If their total value is Rs 20, the number of 5 paisa coins is
Number of 5 paisa coins
Two numbers are in the ratio 1:3. If each number is increased by 9, the ratio becomes 3:5. The numbers are
Number are
For a group of 20 students food lasts for 55 days. For how many days will the same food last for 50 students?
Number of days the food last for 50
Students
The weight of a 12 m long rod is 20.5 kg. The weight of 5 m long of such rod will be
Weight of 12m rod kg
Weight of 1m rod
Weight of 5m rod
Pipe A can fill an empty tank in 4 hours while pipe B can fill an empty tank in 3 hours. If both are opened in the empty tank, time taken to empty it up completely is
Total time taken by both the pipes
If the cost of printing a book of 380 pages with 20 lines on each page and on average 11 words in each line is ₹ 19, then the cost of printing a book with 280 pages 22 lines an each page and 10 words in each line is
No. of pages No. of lines No. of words cost
If 6 men take 2 hour to dig a ditch, how long should it take 16 men to dig a same ditch?
1.20 of a number equals to 0.36 of another number. The ratio of the number is
If \(\text{A:B = 3:4}\) and \(\text{B:C = 5:6}\) then \(\text{C:A}\) is equal to
A cistern has two inlets A and B which can fill it in 10 min and 20 min respectively. An outlet C can empty it in 4 min. If all the pipes are opened together, time taken to fill the tank is
An empty pipe can empty \( \dfrac{5}{6}\) of cistern in 20 minutes. In 9 minutes what part of cistern will be emptied?
In 20 minutes an empty pipe can empty of cistern.
In 1 minute an empty pipe can
Empty
In 9 minute an empty pipe can
Empty
P and Q can do a job in 25 days and 30 days repeatedly. They work together for 5 days and then P leaves. Q will finish the rest of work in how many days?
Remaining work
An agent receives a commission of Rs 25 on sales of Rs 1000. The commission he get on sales of Rs 100 is
“A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. In what time can they do it all working together?”
Total time taken by A, B, C
So, one day work = 16 days
A man performs \(\dfrac{2}{25}th \) of his total journey by bus, \(\dfrac{21}{50}th \) by car and the remaining 2 km on foot. Find the length of total journey?
Total journey by car and bus
Total length of the journey
Three pipes A, B, C can fill a water in 12, 15, 20 min respectively. Pipes A and C work for one min and B and C work in next min. In how many minutes the cistern will be full?
Work done by A and C in one minute of the cistern
Work done by B and C in next min
Part of the water filled in 2 minutes
The water shall be filled in 8 minutes.
A and B can do a job in 16 and 12 days respectively. 4 days before finishing the job, A joins B. B has started the work alone. Find how many days B has worked alone?
(A+B)’s one day work
(A+B)’s 4 days work
Remaining work
B can finish the work in 12 days.
part of job will be finished in
16 men or 24 women can do a piece of work in 20 days. The number of days needed to complete the job if 20 men and 30 women are employed to do the same piece of work is
16 men do a work in 20 days.
16 men do work in one day.
1 men do work in 1 day.
20 men do work in 1 day
Similarly 30 women do work in 1 day.
20 men and 30 women together do
Together they do work in 8 days.