If 1 is subtracted from the numerator of a fraction becomes (1/3) and if 5 is added to the denominator the fraction becomes (1/4). Which fraction shall result, if 1 is subtracted from the numerator and 5 is added to the denominator?
A and B can do given work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days. In how many days can A and C finish it?
The pipes A and B can fill a tank in 36 min and 45 min, respectively. A waste pipe C can empty the tank in 30 min. First A and B are opened. In how much time the tank is full?
A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11, respectively. If equal quantities of alloys are mixed melted to form a third alloy C. Then the ratio of gold and copper in C.
The number of workers in the employment guarantee scheme increased by 15 which resulted into an Increase of 20%. What was the initial number of workers?
If the numerator of a fraction increased by 20% and its denominator be diminished by 10%. The value of the fraction is \[\frac{16}{27},\]then the fraction is
If \[\frac{\frac{1}{4}-\frac{1}{6}-\frac{1}{48}}{\frac{1}{4}-\left( \frac{1}{6}-\frac{1}{48} \right)}\div \frac{\frac{1}{4}\times \frac{1}{6}-\frac{1}{48}}{\frac{1}{4}\times \left( \frac{1}{6}-\frac{1}{48} \right)}=x,\] the value of x is
Yash started the business with an initial investment of Rs. 500000. In the first year he earned a loss of 4% however during the second year, he earned a profit of 5% which in the third year a profit of 10%. Then the net profit for the entire period of 3 yr is
X, Y and Z had taken a dinner together. The cost of the meal of Z was 20% more than that of Y and the cost of the meal of X was 5/6 as much as the cost of the meal of Z. If Y paid Rs. 100, then what was the total amount that all the three of them had paid?
Consider a circle with centre at O and radius r. Points A and B lie on its circumference and a point M lies outside of it such that M, A and O lie on the same straight line. Then, the ratio of MA to MB is
A cistern has 3 pipes A, B and C. A and B can fill it in 3 h and 4 h respectively while C can empty the completely filled cistern in 1 h. If the pipes are opened in order at 3, 4 and 5 pm respectively. At what time will the cistern be empty?
In a school there are 30 teachers who teach Mathematics or Physics. Of these teachers, 20 teach Mathematics and 15 teach Physics, 5 teach both Mathematics and Physics. The number of teachers reaching only Mathematics is
The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
In a right angled \[\Delta ABC,\]\[\angle C=90{}^\circ \]and CD is perpendicular to AB. If \[AB\times CD=CA\times CB,\]then \[\frac{1}{C{{D}^{2}}}\]is equal to
A person travelled by train for Ih at a speed of 50 km/h. He, then travelled by a taxi for 30 min at a speed of 32 km/h to complete his journey. What is the average speed at which he travelled during the journey?
A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is
If A \[=\frac{\pi }{6}\]and B \[=\frac{\pi }{3},\] then which of the following is/are correct? I. \[\sin A+\sin B=\cos A+\cos B\] II. \[\tan A+\tan B=\cot A+\cot B\] Select the correct answer using the code given below.
From the top of a 10 m high building, the angle of elevation of the top of a tower is \[60{}^\circ \] and the angle of depressionof its foot is \[45{}^\circ \]. Find the height of the tower. (Take \[\sqrt{3}=1.732\])
The average marks obtained by 50 students in a class is 55. The average marks obtained by those who failed is 45. What is the average marks obtained by those who passed?
8 men and 12 boys can complete a work in 15 days, whereas 10 men can complete the same work in 18 days. How many days will be 15 boys take to complete the same work?
Jaya borrowed some money with 6% per annum simple interest for the first three years, 8% per annum for the next five years and 10% per annum for the period beyond eight years. If she pays a total interest of Rs. 7840 at the end of the twelve years, how much money did she borrow?
Arpita bought a watch with 30% discount on the labelled price and sold it with 20% profit on the labelled price. Approximately, what was her percentage profit on the price she bought?
A book seller sells a book at a profit of 10%. If he had bought it at 4% less and sold it for? 6 more, he would have gained \[18\frac{3}{4}%.\]The cost price of the book is
A person A sells a table costing Rs. 2000 to a person B and earns a profit of 6%. The person B sells it to another person C at a loss of 5%. At what price did B sell the table?
The list price of a watch is Rs. 160. After two successive discounts, it is sold for Rs. 122.40. If the first discount is 10%, what is the rate of second discount?
A man invested Rs. 3500, part of it at a yearly interest rate of 40% and the rest at 5%. He received a total annual interest of Rs. 153. How much did he invest at rate 5%?
An agent buys a TV set listed at? 10000 and gets 10% and 20% successive discount. He spends 10% of his CP on transport. At what price (in Rs.) should he sell the TV set to earn a profit of 10%?
Directions :The following questions are to be answered on the basis of the pie-chart given yellow, which shows how a person's monthly salary is distributed over different expense heads.
For a person, whose monthly salary is Rs.6000 per month, how many items are there on which he has to spend more than Rs. 1000 per month?
Directions :The following questions are to be answered on the basis of the pie-chart given yellow, which shows how a person's monthly salary is distributed over different expense heads.
For the same person, an expenditure of Rs. 1800 per month takes place on
Directions :The following questions are to be answered on the basis of the pie-chart given yellow, which shows how a person's monthly salary is distributed over different expense heads.
The annual savings for such a person will be approximately
Directions :The following questions are to be answered on the basis of the pie-chart given yellow, which shows how a person's monthly salary is distributed over different expense heads.
The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs. 500 per month, is
Directions :The following questions are to be answered on the basis of the pie-chart given yellow, which shows how a person's monthly salary is distributed over different expense heads.
The percentage of money spent on clothes and towards saving is equal to which other single item of expense?