Arithmetic Questions

A sold an article to B at 10% loss, B sold it to C at 15% profit and C sold it to D at 10% profit. If D bought it for Rs. 4,554, then what was the cost price (in Rs.) of A?

If a:b=7:4, then find (2a+7b):(7b−2a).

A man is delayed in reaching his workplace by 30 minutes due to bad traffic as he can drive at
9
7
​
of his usual speed. What is his usual time (in hours and minutes) of travel?

Two trains start at the same time from two stations and proceed towards each other at speeds 88km/h and 75km/h, respectively. When they meet, it is found that one train has travelled 65km more than the other. What is the distance (in km) between the two stations?

After a price increase of 23%, a television set costs Rs. 56,703. What was its original price (in Rs.)?

Find the number nearest to 51462, that is divisible by 8.

The average weight of 18 boxes in a boat is increased by 2.5kg when one of the boxes weighing 75kg is replaced by a new box. The weight (in kg) of the new box is:

A car covers the first 80km of its journey at a speed of 40km/h. The driver makes a stop at the tea-stall for 30 minutes and then continues his journey at a speed of 60km/h for 4 hours. What is his average speed (in km/h, correct to 1 decimal place)?

A merchant purchased 650kg of wheat at Rs. 50 per kg. He sold 250kg of it at a profit of 24% and 200kg at a loss of 24%. At what rate per kg (in Rs.) should he sell the remaining wheat to gain 20% on his initial investment?

A woman invested in a private company fund, a total sum of Rs. 10,25,000 in the names of her son and daughter aged 13 years and 15 years, respectively, such that they get an equal amount when they are of 18 years. If the company gives 20% compound interest compounded annually, then how much money (in Rs., to the nearest whole number) should be deposited in the name of her son?

A is 40% more efficient than B. If B finishes a work in 14 days, then in how many days will A finish the same work?

A sold an article to B at 25% profit, B sold it to C at a 12% loss. If C paid Rs. 1,815 for the article, how much (in Rs.) did A pay for the article?

A earns Rs. 2,250 in a day if he works for 8 hours a day. B earns Rs. 3,750 per day if he works for 6 hours a day. The ratio of the per hour wages of A to that of B is:

What will be the compound interest (in Rs., to the nearest rupee) on Rs. 17,600 for 2 years at 7% per annum, compounded annually?

Karuna and Aditi scored 434 and 336 marks, respectively, in an examination. If Karuna scored 62% marks, then what is the percentage of marks scored by Aditi?

A, B and C can do one-third of a work in 15 days, 30 days and 10 days, respectively. A started the work. C joined him after 1 day and B joined them after 3 days of the beginning. For how many days did C work?

The average weight of a class of 20 students is 44kg. A new student joins the class and the average weight decreases by 300gm. What is the weight of the new student (in kg)?

The simple interest on a certain sum for 4
2
1
​
years at 10% p.a. is 60% of the compound interest on a sum of Rs. 12,000 for 1 year at 10% p.a., interest compounded half yearly. The sum on which the simple interest is calculated is:

How much time will it take for an amount of ₹ 360 to yield ₹ 72 as interest at 5% p.a. of simple interest?

Two students appeared for an examination. One student who scored 20 marks more than the other, his score was 60% of the sum of their marks. What was his score?

The value of 24÷4×(3+3)÷2 is:

The average weight of 8 people increases by 2.5kg when a new person comes in place of one of them weighing 75kg. What is the weight of the new person?

A train 400m long passes a pole in 20 seconds. What is the speed of the train?

A and B can together complete a task in 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

The value of 64÷2×(9÷3)×3÷9−32 is:

The ratio of the number of boys and girls in a college is 6:7. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A dishonest dealer defrauds his seller and buyer by using forged weights to the extent of 20%. His true gain per cent is

A sum of money amounted to ₹ 720 in 2 years and ₹ 792 in 3 years when interest is compounded annually. The annual rate of interest, (in %) is:

In a bag there are coins of 25 paisa, 50 paisa and 1 rupee in the ratio of 3:4:5. If there are in all ₹ 31, then how many 1 rupee coins are there in the bag?

In a mixture, the ratio of the first and second liquid is $2:3$, and in another mixture, the ratio of those two liquids is $5:4$. The ratio in which the two mixtures must be mixed so that the quantity of the two liquids in the new mixture is equal is:

A discount of 20% in the price of rice enables X to buy 5kg more rice for ₹ 100. What is the reduced price of rice per kg?

An article was sold for ₹ 4,000. Had a discount of 10% was being offered, the profit would have been 20%. The cost price of the article was:

A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?

The cost price of 27 articles is same as the selling price of 18 articles. What is the profit percent?

Excluding stoppages, the speed of a bus is 70kmph and including stoppages, it is 56kmph. For how many minutes does the bus stop per hour?

120 men consume 720kg of rice in 30 days. In how many days can 90 men consume 270kg?

The salary of Anup is 30% more than that of Barun. Find what percentage is the salary of Barun less than that of Anup?

A clock strikes once at 1 o'clock, twice at 2 o'clock, ..., twelve times at 12 o'clock. How many times will the bell strike in course of 2 days?

A batsman in his 18
th
innings makes a score of 80 and thereby increases his average by 4. What is his average after the 18
th
innings?

The incomes of A and B are in the ratio $3:2$ and their expenditures are in the ratio $5:3$. If each of them manages to save $\text{Rs. }1,000$, then B's income is:

The length of a rectangle is decreased by 20% while the breadth is increased by 20%. Then the area of the rectangle will

The pass percentage of an examination is $20\%$. If a student who got $250\text{marks}$ failed by $24\text{marks}$, what are the maximum marks of the examination?

A profit of $25\%$ is made by selling an article for $\text{Rs. }30$. If the article were sold for $\text{Rs. }33.60$, what would be the profit percentage?

A shopkeeper buys $12$ chocolates for ₹ $6$. To gain a $20\%$ profit, how many chocolates should he sell for ₹ $6$?

The compound interest on a certain sum of money for $2$ years at $5\%$ is $\text{Rs. }3280$. Then the sum is:

A recipe requires sugar and flour in the ratio of $1:4$ respectively. If you want $2$ cups of sugar, then how many cups of flour are required?

Find the principal amount when the Simple Interest (S.I.) is ₹ $1,800$, the rate of interest is $4\%$ per annum, and the time is $8\text{months}$.

If a certain sum of money at 5% per annum simple interest amounts to ₹810 in 2
2
1
​
years, then the certain sum is:

What number should replace "?" in the given equation?
$6515-2560+2880=?\times 5$

Rahul's average score across three exams is $82$. In his fourth exam, he scores $94$. What is Rahul's new average score across all four exams?

Find the Least Common Multiple (LCM) of $62$, $53$ and $44$.

The average weight of 4 persons is increased by 14kg when one of them whose weight is 55kg, is replaced by another person. What is the weight (in kg) of the new person?

A fruit seller had some oranges. He sold 30% oranges and still had 210 oranges. The number of oranges he had, initially, was:

An AC can cool a hall in 10min, while an AC of another brand can cool the same hall in 15min. If both the ACs are switched on at the same time, then in how much time will they cool the hall?

Sachin purchases a watch from a dealer at some price and sells it at 20% profit. The next day he purchases the same watch and marks up the price by 75% and offers a discount of 30%. What is the change in the percentage in the profit that Sachin receives on day 2?

If the selling price of a toy is
3
4
​
of its Cost Price, then the profit percentage is:

Manoj earned ₹6,075 as simple interest on a certain sum at 9% per annum after 5 years. Find the sum invested by him.

The sum of three positive numbers is 339. If the ratio of the first number to the second number is 3:7, and that of the second number to the third number is 5:9, then the second number is:

The difference between the compound interest and the simple interest on a certain sum at 10% per annum for 2 years is ₹1,200. Find the sum.

A and B invested money in a business in the ratio of 2:3. If 10% of the total profit goes to charity and A's share in the profit is ₹4,500, then what is the total profit?

A man buys milk at ₹50 per litre and adds to it water equal to one-third of the milk. If he sells it at ₹60 per litre, then find his profit percentage.

A can finish as much work in 6 days as C can in 8 days. B can finish as much work in 6 days as C can in 4 days. How much time will B require to finish a work if A takes 54 days to finish it?

If 6 people are required to complete a work in 1 hour 20 minutes, then how long will only 5 people take to complete the same work?

At what rate of simple interest will a sum of ₹4,500 amount to ₹5,310 after 4 years?

As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 18 installments he found that 60% of his loan was refunded. How many installments were there in the agreement?

Simran gets a discount of 20% on an oven whose price is ₹3,200. Since she pays cash, she gets an additional 5% discount too. How much does she pay?

A train covers 40km between two stations in 45 minutes. It covers another 30km in 30 minutes and the remaining 20km in 15 minutes. Find the average speed of the train in the whole journey.

The time taken by R to cover 45km is 1.2 hours. In how many seconds will he cover 400 metres?

A shopkeeper offers a cash discount of ₹275 first and then three successive discounts of 10%, 8% and 5% on the sale of a laptop. If the marked price of the laptop is ₹85,275, find its price for a customer.

The ratio of the cost price of an article to its selling price is 432:612. The profit percentage (rounded off to 2 decimal places) on it is:

Dixit covers a certain distance by car, driving at the speed of 28km/h and he returns to the starting point riding on a scooter at the speed of 36km/h. Find the average speed (in km/h) for the whole journey.

A wristwatch is sold for ₹2,700 at a loss of 10%. What is the cost price of the wristwatch?

Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3:7 and in the second it is 7:9. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?

A farmer covered a total distance of $70\text{km}$ in $10\text{hours}$. He travelled part of the distance on foot at a speed of $5\text{km/h}$ and the remaining distance by bicycle at a speed of $10\text{km/h}$. Find the distance travelled on foot.

The average of $30$ numbers is $1.2$. The average of the first $20$ of them is $1.1$ and that of the next $9$ is $1$. Then the last number is:

Evaluate:
$5\frac{3}{5}-1\frac{2}{6}-3\frac{9}{9}-3\frac{2}{12}$

Yusuf purchased an item for ₹5,500 and sold it at a profit of 15%. From that amount, he purchased another item and sold it at 12% profit. What is his overall gain?

An amusement park gives an offer to its customers that one person will be given free entry with four other people. What is the effective percentage discount given by the amusement park?

A and B start a business together. A invests ₹ $4,000$ and B invests ₹ $6,000$. At the end of one year, they earn a total profit of ₹ $5,000$. Find A's share of the profit.

A shopkeeper charges his customer 23% more than the cost price. If a customer paid ₹30,135 for a dining table, then find its original price (in ₹).

A car covers a distance of 45.6km in 2.4 litres of petrol. How much distance will it cover in 1 litre of petrol?

A sum of money is to be distributed among A,B,C,D in the ratio of 5:2:4:3. If A gets ₹1,000 more than D, then what is B's share?

45% of Samita's monthly income is equal to 63% of Anil's monthly income. If Samita's monthly income is ₹84,000, what is Anil's monthly income (in ₹)?

In an election between two candidates, 8% of the votes were invalid. The winning candidate got 60% of the total valid votes and won the election by 5888 votes. How many voters were registered?

The average weight of X and Y is 40kg. The average weight of Y and R is 62kg and the average weight of X and R is 56kg. The weight of X is:

A trader lists his articles 26% above the cost price and allows a discount of 15% on every article. What is his gain percentage?

A loan of ₹2,550 is to be paid back in two equal half-yearly instalments. How much is each instalment if the interest is compounded half-yearly at 8% p.a.?

An amount is distributed among 4 friends X,Y,Z,W in the ratio 5:2:4:3, respectively. If Z gets ₹1,000 more than W, then what is Y's share?

Two boys start from the same place walking at the speeds of 5.5km/h and 3.5km/h, respectively, in the same direction. What time will they take to be 8.8km apart?

A man walked at a speed of 9km/h from point A to B and came back from point B to A at a speed of 15km/h. The ratio of the time taken by the man in walking from B to A to that from A to B was:

A man can row 9km/h in still water. If the river is running at 4km/h, it takes 8 hours more in upstream than to go downstream for the same distance. How far is the place?

The following graph shows the income and expenditure of a company. Study the graph carefully and answer the question based on the graph.
[Note: In the standard reference data for this specific problem, the values are as follows:
For 2015: Income = Rs. 60 lacs, Expenditure = Rs. 40 lacs
For 2016: Income = Rs. 65 lacs, Expenditure = Rs. 30 lacs]

The difference between the profits in 2015 and 2016 is:

Anil took some loan on simple interest at a certain rate and paid ₹12,800 as interest after 2 years. His friend Sumit also borrowed the same sum on compound interest for the same period and same rate of interest compounded annually and paid ₹704 more interest than that paid by Anil. What is the rate of interest per annum?

A person can paint a 2.5ft
2
of a wall in 5 minutes. How much ft
2
of the wall will he paint in 6 hours?

The population of a village increases by 6.25% every year. If the present population of the village is 4046, then what was its population 2 years ago?

A person can row $22\frac{1}{2}\text{km}$ an hour in still water and he finds that it takes him twice as long to row up as to row down the stream. The speed of the stream is:

There are six numbers whose average is 120. If the sixth number is one-fourth of the sum of the remaining five numbers, then the sixth number is:

A can finish one-third of a work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

The amount will triple in $25$ years on simple interest. Find the rate of interest.

If the speed of a boat moving against the current is $18\text{km/h}$, what is the speed of the stream if the boat's speed downstream is $50\%$ greater than its speed upstream?