Arithmetic Questions

A and B can separately finish a work in 15 and 20 days, respectively. A starts the work and B joins him from the fifth day. How much time will it take to finish the complete work?

Mukesh sells 80% part of a commodity at a profit of 20% and rest of the part at a loss of 5% and in this way earns a profit of ₹9,300. What was the cost price of the commodity for Mukesh?

At a workplace, one man alone can complete a work in 36 days. If the entire staff, i.e., 6 women and 4 men can complete the work in 6 days, how many days will one woman alone take to complete the entire work?

Only two candidate were contesting against each other in an election of a village. One candidate got 43.5% votes and was defeated by 3744 votes. How many votes did the winning candidate get?

A car travels a certain distance at 24 km/h and comes back at 36 km/h. Find the average speed for total journey.

What is the average of the following observations?
2.5,3.25,4.75,7.5,3,4,3

P buys an article for Rs. 280 and sells it to Q at a profit of 25%. Q sells it to R at some profit. R sells it to S for Rs. 560 making a profit of 40%. What percentage profit (rounded off to the nearest integer) did Q make?

What is the fourth proportional of 21,56 and 27?

A person received a yearly salary hike of 15%, 20%, and 25% in 3 successive years. What is the total salary of the person after 3 years if his initial salary was Rs. 20,000?

The mean weight (in kg) of four students is 30. The weights of three of them are 42 kg, 28 kg, and 24 kg. What is the weight (in kg) of the fourth student?

When a number is increased by 28, it becomes 107% of itself. What is the number?

A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sell at 17% profit?

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10hours. How many cakes Chutki can bake in 40 hours?

Of the 5 numbers whose average is 72, the first is
8
1
​
times the sum of other 4. The first number is __________.

If a merchant offers a discount of 30% on the list price, then he makes a loss of 16%. What % profit or % loss will he make if he sells at a discount of 20% of the list price?

A bank offers 15% compound interest per half year. A customer deposits Rs 8800 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is __________.

The ratio of present ages of Ranjini and Shahid is 5:4. After 13 years the ratio of their ages will be 6:5. What is Ranjini's present age?

₹21,000 is lent at compound interest of 10% p.a. for three years. Find the amount.

Suresh invested a certain sum of money at 5% per annum simple interest. If he receives an interest of ₹69,687 after 15 years, the sum (in ₹) he invested is:

The average weight of Rohan and his three friends is 62kg. If Rohan's weight is 8kg more than the average weight of his three friends, what is Rohan's weight (in kg)?

Nazeer spends 20% of his monthly income on housing, 25% of the remaining on education, and saves 10% of the remaining. If his monthly salary is ₹52,600, how much money does he save every month?

A tractor manufacturing company sells each tractor for ₹5,00,000. Assuming that KISAN firm buys 50 tractors from them as a part of an annual contract, the company offers a trade discount of 10% to KISAN and an additional 2% discount if the payment is made within 30 days. What will be the amount payable by KISAN within 30 days for the consignment?

The average monthly income of A and B is ₹5,050, the average monthly income of B and C is ₹6,250, and the average monthly income of A and C is ₹5,200. What is the sum of the monthly incomes (in ₹) of A, B and C?

The fourth proportional of 64, 80 and 88 is:

A vendor buys 20 laptop bags for ₹13,000 and sells them at 15 for ₹10,125. How many laptop bags should be bought and sold to earn a profit of ₹3,225?

A and B can do a piece of work in 10 days. B and C can do the same work in 12 days. C and A can do the same work in 15 days. If all the three work together, find the number of days required to complete the work.

What is the third proportional of 6 and 18?

The third proportional to (5
2
−3
2
) and (5−3) is:

From the following table, find what is the average weight (in kg) of the given persons?
Name Aman Sudha Vishal Sumedha Sahil Usha
Weight (kg) 52.7 54 55.25 57.4 58.75 58

If Ram walks at the speed of $3\text{km/hr}$, then he reaches his school $6$ minutes late, but if he walks at the speed of $4\text{km/hr}$, then he reaches $4$ minutes before the scheduled time. What is the distance (in $\text{cm}$) of his school from his house?

A bank offers 5% compound interest per half year. A customer deposits Rs. 6400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

By increasing the price of an entry ticket to a fair in the ratio 9:13, the number of visitors to the fair has decreased in the ratio 7:4. In what ratio has the total collection increased or decreased?

Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?

A shopkeeper sold pistachios at the rate Rs. 1140 a kg and bears a loss of 5%. Now if he decides to sell it at Rs. 1260 per kg, what will be the result?

A shopkeeper wants to earn $33\%$ profit on an article after offering a $30\%$ discount. By how much percentage more should he mark the price of his article above the cost price?

The selling price of a watch is ₹$966$ and the profit percentage is $15\%$. If the selling price is ₹$798$, then what will be the loss percentage?

Mohit and Anshu invested some money in a business in the ratio $8:15$ respectively. After $9$ months Mohit withdraws his capital. If they receive profits in the ratio $4:5$, then for how many months did Anshu invest in the business?

The ratio of two numbers is $2:3$. If the sum of both numbers is $75$, then what is the larger number among both the numbers?

If $A=400$ and $B=600$, then $A$ is how much percentage less than $B$?

Two students appeared for an examination. One of them secured 19 marks more than the other and his marks were 60% of the sum of their marks. The marks obtained by them are:

Deepak lent Rs. 8800 to Jaichand for 13 years and Rs. 5500 to Kapil for 12 years on simple interest at the same rate of interest and received Rs. 14432 in all from both of them as interest. The rate of interest per annum is:

Refer to the below data table and answer the following question.
Subjects Marks scored
English 70
Hindi 55
Math 70
Science 55
Arts 55
Five points are to be deducted from this student's average of marks scored because of poor attendance. What will be this student's net average marks scored?

Refer to the below data table and answer the following question.
Division / Standard Boys Girls
Division A / Standard 5 20 30
Division B / Standard 5 15 20
Division C / Standard 5 30 10
Division A / Standard 6 30 25
Division B / Standard 6 30 25
Division C / Standard 6 30 20
What is the ratio of total boys to total girls?

The total cost of a dishwasher with a vacuum cleaner was Rs. 78750. The vacuum cleaner was sold at a profit of 37% and the dishwasher at a loss of 27%. If the sale price was the same for both items, then the cost price of the cheaper item was:

The average marks of 72 students is shown as 69. It includes a wrong entry of 45 marks instead of 54 marks. The correct average is:

If 5A=12B=13C, find A:B:C.

The reciprocal of the sum of the reciprocals of
5
6
​
and
7
3
​
is:

In a class of 55 students there are 34 girls. The average weight of these girls is 51Kg and average weight of the full class is 55.2kgs. What is the average weight of the boys of the class?

Parimal has done
4
1
​
th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

Suresh goes on a trip on his motor-cycle and rides for 410kms. If he rides for 5 hours at a speed of 50km/hr, find at what speed he travels for the remaining 4 hours of the journey?

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.

A certain sum invested at simple interest amounts to Rs. 10,072 in 3
2
1
​
years and to Rs. 11,552 in 6 years at the same rate per annum. The rate of interest p.a. is:

A man buys 120 toys each at the same cost price. He sells 45% of the toys at 40% profit, one-third of the remaining at 20% profit, and the remaining at a loss which is equal to the cost price of 14 toys. His profit per cent in the entire transaction is:

The ratio of the incomes of A and B is 2:3 and the ratio of their expenditures is 5:7. If 7 times the income of A is equal to $6 times the expenditure of B, then what is the ratio of the savings of A and B?

A number is increased by 20%, then decreased by 27%, and then further increased by 10%. What is the net increase/decrease percentage in the number (correct to the nearest integer)?

The average of 37 numbers is 80. The average of the first 19 numbers is 75 and the average of the last 19 numbers is 84. If the 19
th
number is excluded, what is the average of the remaining numbers (approximate to one decimal place)?