The difference between a number increased by 17% and the same number decreased by 18% is 28. Find the number.
The sum of five numbers is 655. The average of the first two numbers is 77 and the third number is 134. Find the average of the remaining two numbers?
In a race, an athlete covers a distance of 300 m in 50 sec in the first lap. He covers the second lap of the same length in 150 sec. What is the average speed (in m/sec) of the athlete?
Two inlet pipes A and B can fill a cistern in 30 minutes and 36 minutes, respectively. Initially, only A is opened for 10 minutes. After 10 minutes, A is closed and B is opened. In how much time (in minutes) will the inlet pipe B fill the remaining part of the cistern?
An amount of ₹351 is divided among three persons in the ratio of 4 : 11 : 3. The difference between the largest and the smallest shares (in ₹) in the distribution is:
A bank gives 12% per annum interest on an account. If the interest is compounded halfyearly, then _______ of the principal would have been earned more in a year as interest on the account.
Find the compound interest on an amount of ₹24,000 after three years, when compounded annually at the rate of 15% per annum.
A sum, when invested at 10% simple interest per annum, amounts to ₹2400 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate of interest in 2 years?
A bus travelling at 80 km/h completes a journey in 14 hours. At what speed will it have to cover the same distance in 20 hours?
In a class the average marks obtained in a science test by a group of 12 students is 70, by another group of 15 students is 85 and
that by another group of 18 students is 90. Find the average marks of all the students.
Prakash and Vinesh can complete a certain piece of work in 10 and 8 days, respectively, They started to work together, and after 3 days, Vinesh left. In how many days will Prakash complete the remaining work?
A shopkeeper marks up an item by 25% above its cost price. If the cost price of the item is ₹500, what is the marked price (in ₹)?
A person can complete a journey in 9 hours. He covers the first one-third part of the journey at the rate of 35 km/h and the remaining distance at the rate of 28 km/h. What is the total distance (in km) of his journey?
Vijay can do a piece of work in 4 hours. Ajay can do it in 28 hours. With the assistance of Amit, they completed the work in 3 hours. In how many hours can Amit alone do it?
Three partners invested in a business in the ratio 4:6:8. They invested their capitals for
8 months, 4 months and 5 months, respectively. What was the ratio of their profits?
A sum, when invested at 10% simple interest per annum, amounts to ₹3120 after 3
years. What is the simple interest (in ₹) on the same sum at the same rate of interest in
2 years?
A can do a piece of work in 12 days. B can do it in 18 days. With the assistance of C,
they completed the work in 4 days. C alone can do it in ______________days.
A conical canvas tent with height 14 units and radius 7 units requires__________________ square units of canvas to make.
A clay cylinder of height 42 cm is converted into a cone of the same radius as that of the cylinder. If the volume of the cylinder is 52,800 cm3 , then the radius (in cm) of the cone is:(Use π =22/7)
The sum of five numbers is 655. The average of the first two numbers is 76 and the third
number is 107. Find the average of the remaining two numbers?
Kavya has to reach Bhopal which is 1011 km away in 19 hours. His starting speed for 7
hours was 25 km/hr. For the next 152 km his speed was 19km/hr. By what speed he
must travel now so as to reach Bhopal in decided time of 19hours?
A girl goes to school at a speed of 10 km/hr. She comes back with a speed of 40 km/hr.
Find her average speed for the whole journey.
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate
of 4.4% per hour. Find the count of bacteria at the end of 2 hours if the count was
initially 8,05,00,000.
The LCM of three numbers is 2400. If the numbers are in the ratio of 3 : 4 : 5, find the
greatest number among them.
Kiran can do a certain piece of work in 15 days. Kiran and Garima can together do the
same work in 10 days, and Kiran, Garima and Mehak can do the same work together in 9
days. In how many days can Kiran and Mehak do the same work?
Devvrat sold a commodity at a loss of 3%. If he would have been able to sell it at a profit
of 15%, he would have received ₹1,494 more. What was the cost price (in ₹) of the
commodity?
A principal amount of ₹8,000 is invested at an annual interest rate of 5% compounded
half-yearly. What will be the compound interest earned after 4 years?
[Use (1.025)8 = 1.2184]
Mohan, Rahul, and Geeta enter into a partnership. They invest 35,000, ₹75,000, and 1,05,000, respectively. At the end of the first year, Rahul withdraws 25,000, while at the end of the second year, Geeta withdraws 75,000. In what ratio will the profit be shared at the end of 3 years?
Arun’s salary is increased by 20% in January and his salary is again increased by 35%
in the month of November. What is the overall percentage increase in his salary?
A tap can fill a tank in 8 hours. After half the tank is filled, four more similar taps are
opened. What is the total time taken to fill the tank completely?
The average of the marks of 15 students in a class is 43. If the marks of each student
are doubled, find the new average?
What is the smallest possible number which when divided by 33, 56 and 84, leaves 6, 29
and 57 as the remainders, respectively?