If the ratio of speed upstream and downstream is 5 : 7 and the speed of the stream is 6 m/sec, then what is the time taken by a boat to cover the total distance of 210 m both upstream and downstream?
Nikhil sold a machine to Sonia at a profit of 33%. Sonia sold this machine to Aruna at a loss of 20%. If Nikhil paid ₹5,200 for this machine, then find the cost price of machine for Aruna.
A sum, when invested at 10% simple interest per annum, amounts to ₹3840 after 2 years. What is the simple interest (in ₹) on the same sum at the same rate of interest in 2 years?
Anjali can do a certain piece of work in 16 days. Anjali and Ayushi can together do the same work in 10 days, and Anjali, Ayushi and Ankita can do the same work together in 8 days. In how many days can Anjali and Ankita do the same work?
During the first year, the number of students in class X of a school increased by 12% and during the second year, it reduced by 9%. At the end of the second year, the number of students was 1274. What was the number of students in class X at the beginning of the first year?
Two banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Tushar borrowed an amount of ₹200000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by Tushar after 3 years.
An article was marked at ₹11,500. A discount of 25% was offered, resulting in a profit of 15%. What is the cost price of the article?
Kanchan bought 52 books for Rs 1130 from one shop and 47 books for Rs 920 from another. What is the average price (in Rs) he paid per book ?
A pipe can fill a tank in 9 hours. Another pipe can empty the filled tank in 63 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be two-third filled, is:
What is the average speed of a van which covers half the distance with a speed of 48 km/h and the other half with a speed of 24 km/h?
An item with cost price of ₹120 is sold by P to R at a 12% profit. R earns a profit of ₹45.6 on the item and sells it to Q. The profit of P would have been ____% if the item is sold by P to Q directly at the same selling price.
There are 7314 students in a school and the ratio of boys to girls in the school is 27 : 26, then find the number of boys in school.
After 62 litres of petrol was poured into an empty storage tank, it was still 1% empty. How much petrol (in litres, rounded off to two decimal place) must be poured into the storage tank in order to fill it?
A birthday cap is in the form of a right circular cone of base radius 6 cm and height 8 cm. Find the area of the paper sheet required to make 15 such caps. (π =3.14)
A train overtakes two persons walking along a railway track. The first one walks at 5.4 km/h. The other one walks at 10.8 km/h. The train needs 5.1 and 6.8 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 12.5%. What is the actual cost of an article marked ₹2,750?
In what ratio should sugar costing ₹74 per kg be mixed with sugar costing ₹41 per kg so that by selling the mixture at ₹85.8 per kg, there is a profit of 30%?
The shares of P, R and S in a business are in the ratio 2 : 3 : 4. If the total profit is ₹18,000, then S gets how much more (in ₹) than P?
The areas of a rectangular garden and a square garden are equal. If the length and the breadth of the first garden are 32 m and 8 m, then find the perimeter of the square garden
The least common multiple of two numbers is 364 and their greatest common factor is 26. If one of the numbers is 26, then find the other number.
A man riding on a bicycle at a speed of 66 km/h crosses a bridge in 18 minutes. Find the length of the bridge?
Find the least number which should be added to 2395 so that the sum is exactly divisible by 3, 4, 5 and 6.
A person can complete a journey in 6 hours. He covers the first one-third part of the journey at the rate of 23 km/h and the remaining distance at the rate of 46 km/h. What is the total distance (in km) of his journey?
A merchant buys a watch for ₹1,500 and sells it at a 10% loss. He then buys the same model for ₹1,600 and sells it at a 20% profit. Find the overall profit or loss percentage (rounded off to 2 decimal places).
The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 104. Find the average of the remaining two numbers?
The difference between the compound interest, compounded annually, and the simple interest earned on a certain sum of money in two years at 10% interest per annum, is ₹197.2. Find the sum invested.
A cistern can be filled by a tap in 6 hours and emptied by an outlet pipe in 7.5 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?
A sum of Rs. 7,560 is divided between A, B and C such that if their shares are diminished by Rs. 400, Rs. 300 and Rs. 260, respectively, then their shares are in the ratio 4 ∶ 2 ∶ 5. What is the original share of B?
P and Q starts a business with investment of Rs. 28000 and Rs. 42000 respectively. P invests for 8 months and Q invests for one year. If the total profit at the end of the year is Rs. 21125, then what is the share of P?