Mathematics
Word Problems and Applications
Practice questions
An article is sold for (₹1200). The profit percentage is numerically equal to (\frac{1}{20}) of the cost price and the profit is (₹200). What is the cost price?The base of a triangle is \(6\text{ cm}\) longer than its height, and its area is \(140\text{ cm}^2\). What is the height of the triangle?In a positive fraction, the denominator is (4) more than the numerator. The sum of the fraction and its reciprocal is (\frac{41}{20}). What is the fraction?The area of a square is \(225\text{ cm}^2\). When its side is increased by \(x\text{ cm}\), the new area becomes \(400\text{ cm}^2\). What is the value of \(x\)?A (20\text{ m}) long rope forms a rectangle in an open field. If the area is (96\text{ m}^2), is this situation possible?A bus travels (240\text{ km}). If its speed were (20\text{ km/h}) less, it would take (1\text{ h}) more. What is the actual speed of the bus?There are n points on a board. Joining every pair of points forms a total of 45 line segments. What is the value of n?The length of a rectangular room is (4\text{ m}) more than its breadth. The floor area is (96\text{ m}^2). What is the perimeter of the room?The product of a number and the number obtained by adding 6 to it is 135. What is the positive original number?A right triangle has a shorter side of length \(x\) cm, another side of length \((x+7)\) cm, and a hypotenuse of length \((x+8)\) cm. Find the length of the shorter side.The price of an article is (₹x). If it is bought at (₹5) less, (3) more articles can be bought for (₹300). What is the original price?A garden's length is (10\text{ m}) more than its breadth. If both length and breadth are increased by (5\text{ m}), the area increases by (350\text{ m}^2). What is the original breadth?A hostel has rooms for (60) students. If (2) more students are put in each room, (5) fewer rooms are needed. How many students were originally put in each room?The sum of a positive number and its square is 156. What is the number?A field has area (875\text{ m}^2). Its length is (5\text{ m}) less than twice its breadth. What is the breadth?A boat travels (48\text{ km}) downstream and (32\text{ km}) upstream in a total of (10\text{ h}). The speed in still water is (10\text{ km/h}). What is the speed of the stream?A rectangular sheet has length (8\text{ cm}) more than its breadth. Squares of side (2\text{ cm}) are cut from each corner and folded to make a box of volume (240\text{ cm}^3). What is the original breadth?A train covers a distance of (300\text{ km}). If its speed were (10\text{ km/h}) more, it would take (1\text{ h}) less. What was the actual speed of the train?The length of a rectangular swimming pool is (8\text{ m}) more than its breadth and its area is (273\text{ m}^2). What is the perimeter of the pool?Two workers together complete a work in (6\text{ days}). The first worker alone takes (5\text{ days}) less than the second worker. In how many days will the first worker alone complete the work?