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A trader marked the selling price of an article at 50% above the cost price. At the time of selling, he allows a certain discount and suffers a loss of 1%. What is the percentage of the discount he allowed?
Chloe was playing a trivia game. In the first round she scored 40 points, in the second round she scored 50 points, and in the last round she lost 4 points. How many points did she have at the end of the game?
Mike bought some toys. He bought marbles for $9.05, a football for $4.95, and spent $6.52 on a baseball. In total, how much did Mike spend on toys?
Dimitri eats some burgers per day. Each burger has a total of 20 calories. He will get 120 calories after two days. How many burgers does he eat per day?
what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 16 ” by 16 ” ?
Apple costs l rupees per kilogram for the first 30 kgs and q rupees per kilogram for each additional kilogram. The price of a certain number of kilograms is 11.67, and for 36 kgs of apples is 12.48. The cost of the first 10 kgs of apples is 3.62. How many kilograms of apples were bought for 11.67?
Two trains travel in opposite directions at 36 kmph and 45 kmph, and a man sitting in the slower train passes the faster train in some time. The length of the faster train is 135.0108 meters. How many seconds does it take for the man in the slower train to pass the faster train?
If 213 × 16 = 3408, and (213 × 16) + (1.6 × 2.13) = X, find the value of X - (5/2) × 1.25.
Given that p is a positive even integer with a positive units digit, if the units digit of a certain power of p minus the units digit of another power of p is equal to 0, the units digit of p + 5 is 11. What is the first power of p in this equation?
what is the cp of rs 100 stock at 2 discount , with 1 / 5 % brokerage ?
If the sides of a triangle are 26 cm, 24 cm, and 15 cm, what is its area?
A company has 15 managers and 75 associates. The 15 managers have an average salary of $90,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Randy, Peter, and Quincy all drew pictures. Peter drew some pictures. Quincy drew 20 more pictures than Peter. They drew 41 pictures altogether, and Randy drew 5 pictures. How many pictures did Peter draw?
6 candidates run for president: John, James, Jacob, Joey, Jack and Jane. John manages to capture 12% of the votes while James captures 20% more votes than John. Jacob receives half the number of votes as James, and Joey gets twice as many votes as Jacob. Jack earns 75% of the combined votes of John and Jacob, while Jane secures 30% less votes than Jack. If the total voter turnout was 1425, how many more votes did Jack get than John?
Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. She has a limited stock of lip gloss and counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds a certain number of tubes of lip gloss, and this will be the exact amount she needs for 36 people's makeup. How many tubes of lip gloss does each tub hold?
Kaleb saved up 21 dollars and received another 15 dollars for his allowance, giving him a total of 36 dollars to spend. He wants to buy toys that cost 6 dollars each, and small action figures that cost 3 dollars each. If the local store charges a 5% sales tax on the toys and he must buy at least 2 toys and 3 action figures, how many toys and action figures can Kaleb buy without going over his budget?
A piece of cloth costs Rs 35. If the length of the piece would have been some meters longer and each meter cost Re 1 less, the cost would have remained unchanged. The piece is 10 meters long. How many meters longer should the piece be for the cost to remain unchanged?
Sara had 21 quarters in her bank. Her dad gave her 49 more quarters. How many quarters does she have now?
if a train , travelling at a speed of 90 kmph , crosses a pole in 4 sec , then the length of train is ?
Billy is counting the rings in two trees. Weather fluctuations in this area mean that each tree's rings are in groups of two fat rings and four thin rings. Billy counts some ring groups in the first tree and 40 ring groups in the second tree. The first tree is 180 years older than the second tree. How many ring groups did Billy count in the first tree?
A store mixes coffee A worth $10 per kilogram and coffee B worth $12 per kilogram. The mixture is to sell for $11 per kilogram. Find how much should be used to make a 480 kilogram mixture. How many kilograms of coffee A should be in the mix?
Let the expression x # y # z denote the product of the consecutive multiples of 3 between x and y, and between y and z, inclusive. What is the sum of the exponents in the prime factorization of 21 # 30 # 36 with the constraint that the sum of exponents of all prime factors other than 3 must be even?
The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50, how long is the base of the isosceles triangle?
Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for a certain amount. How much does one shirt cost if the total cost of 2 pairs of jeans and 3 shirts is this amount?
There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, some dogs showed up. There are 60 total animals in the shelter. What is the ratio of the number of dogs to the number of cats?
McKenna has some stuffed animals. Kenley has twice as many as McKenna. Tenly has 5 more than Kenley. The three girls have 175 stuffed animals in all. How many stuffed animals does McKenna have?
A total of 32,000 dollars is invested in 2 municipal bonds that pay 5.75 % and 6.25 % simple interest. The investor invested 20000.0 dollars in the 5.75 % bond. What is the annual interest income from the investments?
Ava watched television for 4 hours, played video games for 2 hours and 30 minutes, and went for a walk for 1 hour and 45 minutes. What is the total duration of all these activities combined in minutes?
Paul had 50 books. He went to a garage sale where they were selling mystery, science fiction, and romance books. The mystery books were on sale: buy 2, get 1 free. For the science fiction books, there was a 20% discount, and romance books cost their original price. Here are the prices of the books: - Mystery books: $4 each - Science fiction books: $6 each (before discount) - Romance books: $5 each If Paul spent $90 at the garage sale and bought the same number of books in each category, how many books did he buy in total, considering the discounts and promotions?
John buys 2 shirts. The first shirt costs $6 more than the second shirt. If the first shirt costs $15, how much, in dollars, did the shirts cost in total? Additionally, John has a 10% discount on the total cost of the shirts. How much will John pay for both shirts after applying the discount?
Ali and Leila reserve their places for a trip to Egypt. The price is a certain amount per person, but they were each given a discount of $14 since there are two of them. Their trip costs $266. What is the original price per person for the trip?
A garrison of 2000 men has provisions for 65 days. At the end of 15 days, a reinforcement of 3000 men arrives, and it is now found that the provisions will last for some more days. How many more days will the provisions last after the reinforcement arrives?
The sum of two numbers is some value. When 6 is added to the sum, it becomes exactly divisible by 9 leaving 0 as the remainder. What is the sum of the two numbers?
Baker made some cakes and 114 pastries. He sold 154 pastries and 78 cakes. Baker sold 76 more pastries than cakes. How many cakes did he make?
a man swims downstream 51 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?
90 students represent x percent of the boys at Jones Elementary School. The boys at Jones Elementary make up a certain percentage of the total school population of 113.38934190276818 students. What percentage of the total school population do the boys make up?
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 8 hours to fill the tank . the leak can drain all the water of the tank in ?
Carl wants to buy a new coat that is quite expensive. He saved $25 each week for a certain number of weeks. On the seventh week, he had to use a third of his saving to pay some bills. On the eighth week, his dad gave him $70 for him to buy his dream coat. If the coat cost $170, how many weeks did Carl save money?
Lillian has 120 Skittles, 45 M&M's, and 75 Gummy Bears to split among her 15 classmates. If she divides each type of candy equally among her classmates, how many of each type of candy does each classmate receive?
A jacket's price is initially reduced by 15%. During a special sale, the price of the jacket is reduced by another 30%. After the sale, the government introduces a 10% tax on the price. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
What is the remainder of e = (3^19 * 5^7) when divided by 100?
A grocer has sales for 5 consecutive days and wants to get an average sale of Rs. 625. The sales for the other 4 days are Rs. 435, Rs. 927, Rs. 855, and Rs. 562. On the sixth day, he has a sale of Rs. 741. How much was the sale on the fourth day?
In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If there were 48 photographs that were either framed by Jack or taken by Octavia, how many photographs in the exhibition were taken by Octavia?
Edward had $17.80 to spend at the toy store. He bought some toy cars that cost $0.95 each and a race track that cost $6.00. Edward has $8 left to buy more toys. How many toy cars did Edward buy?
Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece?
Princess Daphne bought three necklaces and a set of earrings for a total of $240,000. All three necklaces were equal in price. The cost of a single necklace was $40,000. What is the ratio of the cost of the earrings to the cost of a single necklace?
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68% of the distribution lies one standard deviation h of the mean, what percent of the distribution is less than m + h?
The price of a book is first decreased by 30% and then increased by some percentage. The net change in the price is 16%. What was the percentage increase in the price after the initial decrease?
36 men can complete a piece of work in 18 days. In how many days will 81 men complete the same work?
a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number q of ways this can be done is :
A company's profit for the first half of the year is greater than the profit for the second half. The total annual profit is 3,635,000 dollars, and the profit for the second half-year is 442,500 dollars. How much greater is the profit for the first half of the year than the second half?
sonika deposited rs . 9000 which amounted to rs . 10200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?
Mary is baking a cake . The recipe wants 8 cups of flour . She already put in 2 cups . How many cups does she need to add ?
Think of a number, divide it by 4 and add some number to it. The result is 15. The number thought of is 33. What is the number added?
Twice Betty's age is the cost of a pack of nuts. Doug, Betty's friend, is of certain age. The sum of their ages is 90, and Betty wants to buy 20 packs of the nuts. She'll pay $2000 for the packs of nuts. How old is Doug?
The average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result, the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Amalia can read 4 pages of her book in 2 minutes. How many minutes will it take her to read 18 pages of her book?
Noah has two closets. Each closet can fit 1/4 as much as Ali's closet, which can fit 200 pairs of jeans. How many jeans can both Noah’s closets fit?
What is the molecular weight of a compound having 1 H, 1 Br, and 3 O?
Determine how many trailing zeroes 73! and 80! have at the end, taking into account the prime factors 2, 3, and 5. Calculate the powers of each prime factor that divide into the factorials and compare their occurrences.
Malcolm works in a company where they normally pack 40 apples in a box, producing 50 full boxes per day. Operations went as normal in one week. But in the next week, they packed fewer apples per day. The total number of apples packed in the two weeks is 24,500. How many fewer apples did they pack per day in the second week?
A pharmaceutical company received $2 million in royalties on the first $12 million in sales of a generic equivalent of one of its products and then some amount in royalties on the next $48 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $12 million in sales to the next $48 million in sales?
A local business was selling 25 raffle tickets to raise money for charity. Each ticket cost $2.00 apiece. They sold all the tickets and also received some donations: two equal amounts and a $20 donation. They raised $100. How much was each of the two equal donations?
Doc's Pizza contains 6 pieces of pizza. Ten fourth-graders each bought 20 pizzas from Doc's Pizza and put them in their box. Each pizza has the following toppings: 5 pepperoni slices, 3 mushrooms, 8 olives, 4 onion rings, and 7 pineapple chunks. How many pieces of pizza and toppings of each type in total are the children carrying?
The sale price of sarees listed for Rs. 175 after successive discounts of 20% and another discount is Rs. 133. What was the second discount percentage?
when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.12 , what is the value of y ?
A ball is dropped from a certain height and moves 80% of the height each time. The total distance covered is 9. What is the initial height from which the ball was dropped?
The local aquarium has some dolphins that each require 3 hours of training daily. The aquarium has 2 trainers and they want to split the hours they spend training the dolphins equally. Each trainer will spend 6 hours training the dolphins. How many dolphins are there in the aquarium?
After arranging the vases in a square shape, there were 6 bottles left. So, I tried to increase the width and length by one row each, but 11 vases were insufficient. If you arrange these vases in 7 rows, how many bottles are there in 1 row?
John is holding a poker night with his friends. He finds 3 half-full decks of cards and 3 full decks of cards. After throwing away 34 poor-quality cards, he now has 200 cards. How many cards should be in each full deck?
A train of a certain length is running with a speed of 50 km/h. The train passes a man who is running at 5 km/h in the direction opposite to that in which the train is going in 7.2 seconds. What is the length of the train?
I drew three circles with colored pencils. The radius of the orange circle is 4 centimeters (cm), the diameter of the light-green circle is 6 centimeters (cm), and the radius of the sky-blue circle is 5 centimeters (cm). What color circle is with the widest area?
Grandpa bought 15 apples and gave 7 of them to Yoongi. How many apples are left for Grandpa?
Tom weighs 150 kg and manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. He is supposed to maintain this position for 2.5 minutes. Calculate the total weight he is moving with, and then determine the total weight he moved per minute during the 2.5-minute time frame.
The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove a certain amount of cubic feet of water per minute. The pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100% capacity. It takes 2000 minutes to drain the pool. How many cubic feet of water can the hose remove per minute?
Two pipes fill water into a tank of capacity 5000 liters. Pipe A fills at a rate of 200 L/min, and Pipe B fills at a rate of 50 L/min. Pipe C drains water at a certain rate. Pipe A is open for 1 min and closed, then Pipe B is open for 2 min and closed. Further, the Pipe C is opened and drained for another 2 min. This process is repeated until the tank is filled. It takes 100 minutes to fill the tank. What is the rate at which Pipe C drains the tank?
Of the 85 houses in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Given three circles, X, Y, and Z. Circles X and Y have the same area and circle X has a circumference of 18 π The area of circle Z is 4 times the area of circle X. Express the radius of circle Y in terms of circle Z's radius. Also, find the relation between the diameters of circle X and circle Z.
A certain bag contains 100 balls - 10 white, 30 green, 10 yellow, 47 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Mrs. Hilt saw a rollercoaster. Seven students rode the rollercoaster every 5 minutes. How many students rode the rollercoaster in a certain amount of time if 21 students rode it in total?
A certain fraction less than 15% of 180 is equal to 18. What is the fraction?
Sam had 49 pennies and 24 nickels in his bank. His dad gave him 39 nickels and some quarters. Now, Sam has 63 nickels. How many quarters did Sam's dad give him?
Tamia is making dinner. She is using 5 bell peppers to make her meal. She likes to have a variety of sizes so some will melt and some will be thick enough to eat whole. First she cuts each bell pepper into some large slices. Then she takes half those slices and cuts them into 3 smaller pieces each. Tamia is going to add 200 slices and pieces of bell pepper total to her meal. How many large slices does she cut each bell pepper into?
An auto assembly plant performs 6 functions with each frame that arrives. Once those tasks are performed, each car goes to a separate building for finishing touches. These tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before a certain task can be performed. The assembly line can be arranged in 360 ways. Which task must be performed after the axles are installed?
A certain amount of money is invested at 10 percent for one year and another amount is invested at 8 percent for one year. The annual income from the first investment exceeds the annual income from the second investment by $56. If $2,000 is the total amount invested, and $800 is invested at 8 percent, what is the interest rate of the first investment?
Matt's entire family was going to spend the week at the lake house for vacation. Matt's family included his mom, dad, his older brother and his wife and their 4 kids. His Uncle Joe and his wife were also coming and would bring their 3 kids. The house only sleeps 4 people. Everyone else would sleep in tents outside with a certain number of people per tent. They needed 5 tents. How many people would sleep in each tent?
a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 70000 , a receives :
A trader sells 60 meters of cloth for Rs. 8400 at the profit of Rs. 12 per meter of cloth. What is the cost price of one meter of cloth?
The list price of an article is Rs. 70. A customer pays Rs. 59.22 for it after receiving two successive discounts, one of them being 10%. What is the other discount percentage?
Bianca picked 39 tulips and some roses to make flower bouquets. She only used 81 of the flowers and had 7 extra flowers. How many roses did Bianca pick?
how many numbers from 10 to 47 are exactly divisible by 3 ?
In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 3/4 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and curved?
While playing a video game, Ned lost thirteen lives. Now he has some lives left, and he had 83 lives at the start. How many lives does Ned have now?
In a factory, there are 40% technicians, 35% skilled laborers, and 25% unskilled laborers. If 60% of the technicians, 45% of skilled laborers, and 35% of unskilled laborers are permanent employees, then what is the percentage of workers who are temporary employees in the factory?
At the feline sanctuary, there were 12 lions, 14 tigers, several cougars, 8 jaguars, and a number of leopards. The number of cougars was equal to one-third of the combined number of lions and tigers, while the number of leopards was twice the number of jaguars. What was the total number of big cats at the feline sanctuary?
It's Rachel's birthday. Her parents wanted her to have fun so they went to the circus that happened to be in town that day. Upon arriving at the circus, they went to the ticket booth and found out that each ticket costs a certain amount. They bought 7 tickets and spent $308. How much does each ticket cost?
The sum of 4 consecutive numbers is a certain value. The greatest among these numbers is 27. What is the sum of these consecutive numbers?
Consider the following equilibrium reactions involving ammonia (NH3), water (H2O), hydrochloric acid (HCl), and their products: 1) NH3 + H2O ↔ NH4+ + OH- (K1: base ionization constant for ammonia) 2) H2O ↔ H+ + OH- (K2: autoprotolysis constant for water) 3) NH4Cl ↔ NH4+ + Cl- (K3: dissociation constant for ammonium chloride) 4) HCl + OH- ↔ H2O + Cl- (K4: acid ionization constant for hydrochloric acid) Given 3 moles of Water, 3 moles of Ammonium chloride, and introducing an unknown quantity of ammonia, determine the equilibrium concentrations for each substance and hence find the number of moles of ammonium hydroxide (NH4OH) formed at equilibrium. Also, assume that the system is closed, and the temperature is 25°C.
A boat is rowed downstream for 200 km in 10 hours and upstream for some distance in 12 hours. The speed of the boat is 14 km/h and the speed of the river is x km/h. What is the distance rowed upstream?
An oil pipe in the sea broke . Before engineers started to fix the pipe , 2475 gallons of oil leaked into the water . A total of 6206 gallons of oil leaked before the pipe was fixed. _____ gallons of oil leaked while the engineers were fixing the pipe .