A is 40% more efficient than B and both can complete a work in 20 days. A and B start work and do it for eight days. If the remaining work is completed by C in 24 days, then find in how many days C will complete the work alone.

A boat can cover a distance of 3 km against the stream in 36 minutes. Find the time taken by the boat to cover a distance of 49.5 kilometres with the stream given that the speed of boat in still water is 8 km/hr.

A 120 meters long train cross a pole in 4.8 sec, then find in what time train will cross a platform, whose length is three times of the length of the train?

The average age of A, B, C, D and E is 40.2 years. The average age of A and B is 34.5 years and the average age of C and D is 41.5 years. Find the age of E.

From a container containing milk, 8 liters of mixture is taken out and replaced with water. Then the container was drained to half of its volume and again 8 liters of the mixture was taken out and replaced with water, this process was repeated two more times. If the amount of milk in the resulting mixture was \(2\frac{5}{8}\) liters. Find the amount of milk initially.

Rahul, Harsh and Ayush started a business by investing Rs. 18000, Rs. 22000 and Rs. 32000 respectively for 4 years. 2 years later, Prabhat joined the business and invested Rs. 30000. At the end of 4 years, total profit from business was Rs. 130500. What amount would Prabhat get from the profit?

There is a Bus and a car. The speed of the bus and the car is 55 km/hour and 66 km/hour respectively. If both move in a straight path and the bus starts 4 hours earlier than the car, find the total time taken by the car to overtake the bus.

The average weight of 6 people is increased by 3 kg when a person who has a weight of 30 kg, is replaced by another new person. Find the weight of the new person.

Time taken to complete a work by A alone is 100% more than the time taken by both A and B to complete the work. B is thrice as efficient as C. B and C together take 12 days to complete the same work. How many days A will take to complete the work alone?

Abhi, Rahul & Rola enter into a business. Abhi received 3 8 th of total profit & remaining profit is divided equally between Rahul and Rola. If Abhi’s income increases byRs 420 then total profitincreased from 8% to 16%. Then find capital invested by Rola?

8 men, 6 women, 4 children can complete a work in 3 days, 8 days and 24 days. Find in the number of days in which they can complete the work if all of them work together.

63. Present age of A is 3 years less than present age of B.

Ratio of B’s age 5 year ago and A’s age 4 year hence is

3 : 4 then find present age (in years) of A.

A container contains a mixture of 15 liters of milk and water. 3 liters of the mixture is taken out from this container and the same amount of water is filled in it, this process is repeated 2 times. Find the final ratio of milk and water.

Two trains A and B are running towards each other such that the destination of train A is the starting point of train B and vice-versa. They meet each other after 1.6 hours. If train A which is running at a speed of 90 km/hour, reaches its destination 1.066 hours after meeting B, find the time taken by train B to complete its journey.

A boat covers 44 km downstream and 30 km upstream in 10 hours and 55 km downstream and 50 km upstream in 15 hours. Find the speed of the current.

WHO recommends that alcohol content should be at least 70% in sanitizer. A manufacturer maintained 80% alcohol requirement in 150 litres of sanitizer while applying for testing. However, after testing he mixed these 150 litres of sanitizer with 500 litre of sanitizer which had 60% alcohol content. What is the final alcohol content in the mixed sanitizer?

Four persons A, B, C, and D can complete a work in 15 days, 12 days, 10 days, and 20 days respectively. All four contributed to the work but only one of them worked on a day. In how much less time would they finish the work if they work on a rotation basis?

The average weight of a bus including the driver, conductor and helper is 1000 kg, whereas the average weight of driver, conductor and helper is 300 kg. Find the weight of the bus.

There are 35 students in a class, the average marks obtained in a test is 70 numbers. If for the next test number of students increased by 5 and the average of the marks is also increased by 10. Find the total marks obtained in both the tests.

Two partners A and B start a business by investing Rs. 75,000 and Rs 60,000 respectively. What will the ratio of their profits at the end of the year?

The average of 5 consecutive numbers is 9. Find the product of the first number and the last number.

There is a bus and a car, both are moving in the same direction and the bus is ahead of the car. The distance between them is 200 m. The speed of the bus is 40 km/hour and the speed of the car is 76 km/hour. Find the time at which the car will catch the bus.

There is a group of 10 members. The average weight of the group is increased by 4 kg when 2 people, who weigh 55 kg together, are replaced by 3 people. Find the average weight of these 3 people.

There are two taps A and B in a tank. They can fill the tank in 8 min and 12 min respectively. If both taps are opened together and tap B works with half efficiency, then find time in which the tank will be filled completely.

Two busses Royal Bus and Madhaw Bus have a speed of 70 km/hour and 74 km/hour respectively. Find the total time when both crossed each other the length of the Royal Bus is 30 m and 26 m. The distance between them is 540 m both are in opposite direction.

Glass A contains wine and vodka in the ratio of 3 : 5 and glass B contains wine and vodka in the ratio 5 : 3. In what ratio mixtures from glasses A and B should be mixed so that final mixture formed will have 55% wine?

Three partners Sonu, Monu, and Bonu start a business with an investment of Rs.65000, Rs.70000, and Rs.75000 respectively. After 6 months Monu and Sonu both withdrew 25% of their share and Bonu added 20% of his share. If the total profit is 64200 at the end of the year then find the profit difference of the Monu and Sonu.

Ramesh started a business along with Suresh and ratio of initial capital of Ramesh and Suresh is 3 : 5. Ramesh and Suresh also get total Rs. 5000 and Rs. 2500 respectively as their salary from the total profit at the end of 1-year so that share of both the persons (including salary) are same, then what is total profit from the business at the end of a year?

3 partners X, Y, and Z start a business by investing in the ratio 4 : 5 : 7. Y works as an active partner and takes Rs. 5000 per month as salary but he left after 8 months. If the share of Y out of the profit at the end of the year is Rs. 20000 then find the total profit at the end of the year. 

The speed of the two trains is in the ratio 9:10. When they are moving in opposite directions along the parallel tracks. If one train with greater speed takes 7 seconds and the other takes 4 seconds to cross a person then find the time taken by the train to cross each other completely.

Two containers A and B having a mixture of lime and sand in the ratio 1 : 4 and 7 : 3. If we take x litre mixture from container A and y litre mixture from container B. and mixed it together and placed in container C such that the final ratio of lime and sand becomes 3 : 2. Find the ratio of x and y.

Three types of rice are mixed. The weight and price of each type are as follows:

55.5 kg of Rice 1 at Rs 27 per kg

37 kg of Rice 2 at Rs 38 per kg

92.5 kg of Rice 3 at Rs 45 per kg.

Find the price of the mixture?

Mary and John started a business. Mary invests Rs. 5000 for 16 months and John invests Rs. 6000 for 20 months. If they earned a profit of Rs. 4510 then find the share of Mary.

A pipe can fill a cistern in 8 hours. It is filled in 9 hours due to a leakage in the bottom of the cistern. Once when the cistern is full, in how much time it will be emptied by the leak?

The average weight of fifteen boxes is 60 kg. Three boxes of weight 30 kg, 35 kg, and 32 kg were removed and two new boxes of average weight 43 kg were included. What is the difference in the average weights of the boxes after replacement?

A train has a length of 360 m and a speed of 144 km/hour. If the length of the house is 1/6 of the length of the train. Find the time taken by the train to cross the house.

Harsh, Rahul and Vimal invested Rs. 50000, Rs. 40000, and Rs. 30000 in an business for 2 years. After two years, The total Profit was Rs. 96000. Harsh took his initial investment as the profit and left the business. The other two partners further invested their profit share in the business for 3 more year. At the end of this 3 year, the profit of business was Rs. 189000. What is the share of Vimal in profit?

Three pipes A, B, C can fill an empty cistern in 2, 4, 8 hours respectively. The pipe C is closed 4 hours before the cistern was full. In what time will the cistern be full?

There is two inlet pipe A and B in a tank. they can fill the tank in 6 hours and 3 hours. If an outlet pipe C and inlet pipe B situated at the height of 1/6 of the tank, The outlet pipe can empty the tank in 9 hours then find the total time when the tank is filled. there is a condition all pipes work together. The height of the tank is 18 cm

The average number of people living in each house in a society having 47 houses is 4. If this average decreased by 0.2 when 2 families left the society then, what is the total number of people in 2 families which left?

The average of twelve consecutive odd integers is 30. What is the sum of the digits of 1st and the last number of these 12 consecutive numbers?

10 men can complete a piece of work in 24 days, and 6 women can complete the same piece of work in 40 days. 5 men and 18 women work together for 10 days to complete double the earlier work, if only women were to complete the remaining work in 5 days, then total how many women would be required?

Three friends Rahul, Vishal and Abhishek start a business with an investment of 9550, 8550 and 7500 respectively. If the profit is 40960 at the end of the year, then find the average profit of Rahul and Vishal.

In a mixture, the ratio of oil and paint is 13 : 7. 20% of the amount of paint in the mixture is added to the mixture of oil and paint and then 10% of the newly formed mixture is removed. What is the new ratio of oil and paint in the mixture?

In a laptop store, average number of HP, Dell and Lenovo laptops sold per month is 340. Average number of Lenovo laptops sold per day in a month is 13 and that of HP is 9. Find total number of Dell laptops sold in the month.

Ram goes to a shop by running to buy a school bag with a speed of 8 km/hour and after purchasing bag he returns on the same way with a speed of 6 km/hour. Find the average speed of the Ram.

There are 3 friends Ram, Bhola, and Sona and they work together in a company. The efficiency of Ram is 4/3 of the efficiency of Bhola and the efficiency of Bhola is 3/2 of the efficiency of Sona. If they completed work in 8 days then, find in how many days Sona can complete the work alone.

Two people, Amit and Vimal bought a 3 BHK apartment on rent for 1.5 years at Rs. 270000 for the whole duration. If Shubham joined them after two months, what would be the total rent Shubham will be paying to them for staying till the end of the 1.5-year contract?

Rakesh can travel 150 km in 10 hours. If he covers some distance by car with a speed of 20 km/hour and the remaining distance by cycle with a speed of 12 km/hour. Find the distance that he travels by cycle.

The ratio of two positive numbers is 3 : 5 and the average of the numbers is 48. What is the difference between the numbers?