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Questions
42,963
Question Cluster Subtype Difficulty Status

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.

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Partnership Profit Sharing Problems intermediate live

3 person A, B and C start a business together they invest their capital in the ratio 5 : 6 : 4. The profit at the end of the year is Rs 96000. If B left the work after 6 months then find the profit ratio of A and B.

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Partnership Profit Sharing Problems intermediate live

P and Q started a business with an initial capital in the ratio of 15 : 16, and after two months, R joined them with 50% more initial capital than Q. Only P and Q get Rs. 3250 and Rs. 2900 respectively, out of profit. Salary for managing the business. If the profit share of P including salary, at the end of one year is Rs 23500, then what is the total profit earned by all of them from the business?

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Partnership Profit Sharing Problems intermediate live

The average weight of a bus having a total of 45 people was 56 kg. At one stop, 3 people boarded the bus and the average weight of the bus increased to 57.5 kg, what is the average weight of 3 people who boarded the bus later?

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Average Weight and Height Calculations intermediate live

30 litres of a mixture contains 40% of alcohol and the rest is water. If 2 litres of water be mixed in it, the percentage of alcohol in the new mixture is:

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Mixtures and Alligations percentage intermediate live

There are 100 boxes in a room, all are filled with mangoes and each has 25 kg weight. If 3 boxes are replaced by 2 empty boxes then what is the average weight of the whole boxes? (The weight of empty boxes is negligible)

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Average Weight and Height Calculations intermediate live

A can complete 3/4 part of a work in 9 days and B can complete 2/3 part of the same work in 10 days. find how many days they can complete the whole work together.

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Time and Work Problems intermediate live

A person rows a boat upstream to a certain point A and then returns downstream to the starting point in 4 hours. The speed of the boat in still water is 20 km/h, and the speed of the stream is 5 km/h. Find the distance from the starting point to point A.

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Boat and Stream Speed Problems intermediate live

Rohan is going rafting in the river the ratio between the speed of a boat in still water to the speed of the stream is 7 : 3. If 525 km is traveled downstream in 5 hours then, find the difference between the speed of a boat in still water and the speed of the stream.

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Boat and Stream Speed Problems intermediate live

If 3 men or 9 boys can finish a piece of work in 21 days. In how many days can 5 men and 6 boys can complete the same piece of work?

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Work Efficiency and Time Calculation intermediate live

In a tank there is one inlet pipe and two leaks one at the bottom of the tank and other is at one – third of the height of the tank from the bottom. Inlet can fill the tank in 5 minutes while the leak at the bottom can empty the tank in 30 minutes. If the efficiencies of both leaks is same, then what is the time taken to fill the tank completely when both the leaks are also working?

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Pipes and Cisterns Problems intermediate live

6 men and 9 women can finish the work in 8 days and 8 men and 20 women can finish the same work in 4 days. In how many days a woman can finish the work?

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Work Efficiency and Time Calculation intermediate live

Three pipes can fill a tank in 3 hours, 4 hours, and 6 hours. However, there is a leak in the tank at a height of 1/3 of the tank from the bottom which can drain the rest of the tank in 9 hours. What will be the time taken to fill the tank?

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Pipes and Cisterns Problems intermediate live

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

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Prime Numbers and Number Properties intermediate live

20 men and 12 women can complete a work in (50/7) days. The ratio of the time taken by one man and one woman alone to complete the work is 2:3. Find the time taken by 15 men and 15 women to complete the work.

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Work Efficiency and Time Calculation intermediate live

A rugby team captain aged 24 years and a hooker who is 6 years older than him have excluded then the average age of the team is increased by 1. If there are 15 players on the rugby team, find the average age of the whole team.

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Average Age Problems intermediate live

In what ratio must 5% concentrated acid be mixed with 40% concentrated acid to get 25% concentrated acid?

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Mixtures and Alligations intermediate live

Two men and 3 women can complete a work in 5 days whereas 3 men and 3 women can do the same work in 4 days. In how many days can 1 man and 1 woman complete the same work?

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Work Efficiency and Time Calculation intermediate live

There are two boats A and B participating in a boat race. Both boats started the race from different points and started moving toward each other. The speed of boat A in still water is 5 km/hour and going downstream, and boat B in still water is 7 km/hour and it is going upstream. The speed of the current is 2 km/hour. Find the distance between them if both meet each other in 9 seconds.

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Boat and Stream Speed Problems intermediate live

The average of a bowler is defined as how much runs on average a bowler gives before taking a wicket. Ashwin took 49 wickets against Australia at an average of 34 runs while he took 84 wickets against Sri Lanka at an average of 22 runs. What is the combined average of Ashwin against these two teams?

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Cricket-Based Average Calculations intermediate live

From 144 liters of kerosene oil, a thief withdraws 24 liters and replaces it with the same amount of petrol. This process is repeated once more and after this 36 liters of Diesel is added to this mixture. What will be the final ratio of kerosene oil, Petrol, and Diesel in the mixture?

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Mixtures and Alligations intermediate live

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?

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Partnership Profit Sharing Problems intermediate live

If 12 men or 24 women or 48 children can do a piece of work in 11 months, then 7 men, 7 women and 6 children together can do half of the work in :

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Work Efficiency and Time Calculation intermediate live

The average weight of 4 children in a family is 25 kg. The heaviest children’s weight is 10 kg more than the lightest children. If the average weight of the other two children is 15 kg, then find the weight of the heaviest children.

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Average Weight and Height Calculations intermediate live

Two trains start from stations A and B and travel towards each other at 55 km/hr and 75 km/hr respectively. At the time of their meeting, the second train had traveled 180 km more than the first. Find the distance between A and B.

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Relative Speed and Meeting Time Problems intermediate live

A can fill the tank in 12 minutes, B in 15 minutes and C empties it in 6 minutes. A and B are opened for 5 minutes, then C is also opened. After how much time does the tank become empty?

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Pipes and Cisterns Problems intermediate live

Sohan can do 2/5 of the work in 10 days and Rohan can do 1/3 of the work in 10 days. In how many days can Rohan and Sohan together do the work?

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Time and Work Problems intermediate live

Anand started a business of garments with an investment of 50000 rupees. After 8 months Ankush had joined the Anand with an investment of 100000 rupees. Find the ratio of profit percentage between them at the end of the year.

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Partnership Profit Sharing Problems percentage intermediate live

Two mixtures P and Q contain Hydrochloric acid and Sulfuric acid in the ratio 8 : 7 and 4 : 3 respectively. These two mixtures P and Q are mixed in the ratio 15 : 7 to form a third mixture R, then what will be the ratio of Hydrochloric acid and Sulfuric acid in the mixture R?

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Mixtures and Alligations intermediate live

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?

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Partnership Profit Sharing Problems intermediate live

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.

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Age Problems with Ratios intermediate live

A milkman had 500 liters of milk in a jar. He took 20% mixture from the jar and replaced it with water. He did the same work 2 more times. How much percent of water is there inside the jar in the end?

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Mixtures and Alligations percentage intermediate live

In a class of 50 students, the average score in a math test is 75. However, there are two distinct groups of students with varying performance. The first group of 25 students has an average score of 95, while the second group of 25 students has an average score of 65.

I. The total score of the first group of students is 2375.

II. The total score of the class is 3750.

III. If the first group of students received an additional bonus point, raising their average to 96, and the second group's average remained the same, then, the new average of the whole class is 80.5.

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Average Marks and Weighted Average Problems intermediate live

Two pipes A and B fill a tank in 4 hours and 5 hours respectively. Both the pipes were filling the tank when after 60 minutes pipe A had some problem and was closed. How much time did it take to fill the tank completely?

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Pipes and Cisterns Problems intermediate live

If 6 men and 3 women can complete a work in 15 days, and 9 men can do it in 11 days, in how many days 5 men and 5 women to complete the same work.

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Work Efficiency and Time Calculation intermediate live

Three masons were tasked to build a wall together, each of them alone could build a wall in 15 days. There was another person, Manish who didn't want the wall to be built, so he used to destroy a part of the wall every day. He alone can destroy a completely built wall in 7 days. If the wall is being built by 3 masons simultaneously and simultaneously being destroyed by Manish, then in how many days will the wall be completed once?

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Time and Work Problems intermediate live

Speed of a train is 90 km/h. It crosses a platform and a pole in 36 seconds and 6 seconds respectively. Find the length of platform.

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Train Problems - Time Speed Distance intermediate live

A container is filled with a mixture of milk and water in the ratio 10 : 5. If 20 L of water is added to this mixture, the ratio of milk and water becomes 6 : 9. Find the quantity of water in the new mixture.

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Mixtures and Alligations intermediate live

3 persons A, B, and C start a business by investing Rs. 125000, Rs. 200000, and Rs. 275000 respectively. If the profit of the first month is Rs. 84000 then find the difference between the shares of C and A.

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Partnership Profit Sharing Problems intermediate live

24 children can complete a piece of work in 10 days. 4 children were absent so 4 men were deployed in place of them. If the ratio of efficiencies of a man and a child is 5 : 2. Find the time in which the work will be completed.

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Work Efficiency and Time Calculation intermediate live

What is the average of first 15 prime numbers?

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Prime Numbers and Number Properties intermediate live

The average score of Shreyas in 15 innings was 70. In the 16th innings he had scored 6 runs. Find the new average score after the 16th inning.

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Cricket-Based Average Calculations intermediate live

There are two types of potatoes type 'A' and type 'B'. Price of Type 'A' is Rs. 20 per kg and Price of Type 'B' is Rs. 25 per kg. If both types of potatoes are mixed in the ratio 3 : 2. Find the price of the mixed variety of potatoes per kg?

 

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Alligation and Mixture Problems intermediate live

The ratio of spirit and water in two vessels is 7 : 3 and 2 : 3 respectively, in what ratio should the spirit and water be mixed so that the ratio of spirit and water in the new mixture becomes 3 : 2.

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Mixtures and Alligations intermediate live

The average age of 27 professors in a college is 42 years. 3 professors retire from the college at the age of 60 years and 4 new joined whose average age is 31 years. Calculate the average age of the professors now.

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Average Age Problems intermediate live

Two friends Aman and Pradip start a business with an investment of 3500 rupees and 4500 rupees for 2 years. the profit at the end of 2 years is 14400 rupees. Now they invest 20% of the profit at the rate of 8% for 5 years then find what is the difference in the profit of the simple interest?

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Partnership Profit Sharing Problems simple_interest intermediate live

Avi, Bhumi, and Chirag are working on a project. Avi and Bhomi took 1 year, Bhumi and Chirag took 8 months, and Chirag and Avi took 1.5 years to complete the project.

I. The project will be completed by all three in 7.57 months.

II. 50% of the project will be completed by Avi and Chirag in 9 months.

III. If Bhumi's friend Vinay, who has an efficiency of 25/2 units, comes to help Bhumi, then 75% of the project will be completed in 3 months.

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Time and Work Problems intermediate live

Two persons A and B started a business but B left after 3 months. C and D joined the business after 3 more months. The ratio of investment done by A, B, C, and D is 5 : 3 : 7 : 6. If the total profit at the end of the year is Rs. 73500. What is the share of A's profit?

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Partnership Profit Sharing Problems intermediate live

A person got his leg injured so his speed became 1/3 of his usual speed and he became late 10 mins late. Find the usual time taken taken by him to cover that distance.

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Speed, Distance and Time Calculations intermediate live

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. 

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Partnership Profit Sharing Problems intermediate live
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