In a race, an athlete covers a distance of 366 m in 61 sec in the first lap. He covers the second lap of the same length in 183 sec. What is the average speed (in m/sec) of the athlete?
The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 110. Find the average of the remaining two numbers?
Calculate the compound interest on ₹72,000 at the rate of 9% per annum for 18 months when interest is compounded half yearly (rounded off up to the nearest ₹).
There are 4182 students in a school and the ratio of boys to girls in the school is 23 : 28, then find the number of boys in school.
An amount of ₹165 is divided among three persons in the ratio of 5 : 7 : 3. The difference between the largest and the smallest shares (in ₹) in the distribution is:
6 Prem sells an article to Ria at a profit of 20%. Ria sells the article back to Prem at a loss of 20%. In this transaction:
The sum of five numbers is 655. The average of the first two numbers is 78 and the third number is 104. Find the average of the remaining two numbers?
The price of a TV was ₹55,000 last year, and this year it is ₹42,500. Find the percentage decrease in price. (Rounded up to two decimal places)
Ravi bought a camera and paid 18% less than its original price. He sold it at 30% profit on the price he had paid. How much was the profit percentage earned by Ravi on the original price?
A wholesaler purchases goods worth ₹25,000. The manufacturer offers a trade discount of 10% and an additional scheme discount of 5%. Calculate the net price of the goods after both discounts
A pipe can fill a tank in 6 hours. Another pipe can empty the filled tank in 30 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be two-third filled, is
Pinky bought 25 books at the rate of ₹14 each, 40 pens at the rate of ₹7 each and 15 pencils at the rate of ₹6 each. Calculate the average price (in ₹) of all the stationery goods.
Two pipes A and C can fill a tank in 10 hours and 15 hours respectively. If A is open all the time and C is open for 30 minutes, then find the time needed for the tank to be filled.
A 120 m long train crosses a man walking at a speed of 8.5 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?
Two banks, A and B, offered loans at 3.5% and 6% per annum, respectively. David borrowed an amount of ₹360000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by David after 3 years.
There is a 20% discount on a dozen pairs of identical shoes marked at a combined price of ₹7,200. How many such pairs of shoes can be bought for ₹1,440?
The area of a triangle is 85 cm² and its base is 5 cm. Find the height of the triangle corresponding to this given base.
3 kg of apples and 4 kg of oranges cost ₹210, and 5 kg of apples and 2 kg of oranges cost ₹175. Find the cost of 1 kg of apples.
Find the mode for the following data of student ages:
16, 17, 15, 17, 16, 15, 14, 14, 13, 17, 13, 12, 12, 16, 10, 14, 17, 10, 11.
A sum was invested at a certain rate of simple interest per annum for 8 years. Had it been invested at a rate of simple interest per annum that is 8% higher than the rate at which the sum had been actually invested, it would have fetched ₹4,000 more as interest at the end of the 8-year period. What was the sum invested?
While packing birthday caps for a party in packs of 8 or 10, one cap was always left out. How many caps were there if there were more than 250 but less than 300 caps in the lot?
If the length I of a room is reduced by 10% and breadth b is increased by 10%, then find the positive change in its perimeter.