Applications (Word Problem)

Q. If $\frac{3}{5}$ of a number exceeds its $\frac{2}{7}$ by 44, find the number. [4 MARKS]

Q.

I have a total of $Rs.300$ in coins of denomination $Rs.1,$ $Rs.2$ and $Rs.5.$ The number of $Rs.2$ coins is $3$ times the number of $Rs.5$ coins. The total number of coins is $160.$ How many coins of each denomination are with me?

Q. If one-third of one-fourth of a number is 15, then find the three-tenth of that number.

1. 35
2. 43
3. 53
4. 54

Q.

Seats for Mathematics, Physics and Biology in a school are in the ratio $5:7:8$. There is a proposal to increase these seats by $40\%,50\%$ and $75\%$ respectively. What will be the ratio of increased seats?

Q.

$\frac{2}{5}$ of total number of students of a school come by car while, $\frac{1}{4}$ of students come by bus to school. All the other students walk to school of which $\frac{1}{3}$ walk on their own and the rest are escorted by their parents. If $224$ students come to school walking on their own, how many students study in that school?

Q.

Number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. The total class strength is

(a) 56

(b) 52

(c) 48

(d) 36

Q. Question 122
A mother and her two daughters got a room constructed for Rs. 62000. The elder daughter contributes $\frac{3}{8}$ of her mother's contribution while the younger daughter contributes $\frac{1}{2}$ of her mother's share. How much do the three contribute individually?

Q. Question 14
Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10 respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹ 4, 00, 000. How many notes of each denomination does she have?

Q.

Five years ago a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages.

Q.

Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest is equals to the sum of the third and 55, find the numbers.

Q.

$\frac{2}{3}$ of a number is 20 less than the original number. Find the number.

Q.

Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5 : 7. Find the original numbers.

Q.

In a rational number, twice the numerator is $2$ more than denominator. If $3$ is added to each, the numerator and the denominator, the new fraction is $\frac{2}{3}$. Find the original number.

Q.

There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly ?

Q.

The difference between the ages of two cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one, find their present ages.

Q.

Solve the given equation:

$\frac{x-4}{x-5}+\frac{x-6}{x-7}=\frac{10}{3}$

Q.

The digit in tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. Find the original number. Check your solution.

Q.

The sum of the ages of Anup and his father is 100. When Anup is as old as his father now, he will be five times as old as his son Anuj is now. Anuj will be eight years older than Anup is now, when Anup is as old as his father. What are their ages now ?

Q.

Solve. $\frac{x-3}{x+3}-\frac{x+3}{x-3}=\frac{48}{7}$.

Q. Question 117
$\frac{7}{11}$ of all the money in Hamid's bank account is Rs. 77000. How much money does Hamid have in his bank account?

Q.

The sum of the digits of a two - digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. Check your solution.

Q.

A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1 km/h, find the speed of the streamer in still water and the distance between the ports.

Q.

Divide 4500 into two parts such that 5% of the first part is equal to 10% of the second part.

Q.

Write the following statement in the form of the equation:

One-fourth of $m$ is $3$ more than $7$.

Q.

If $10$ be added to four times a certain number, the result is $5$ less than five times the number. Find the number.

Q.

The distance between two stations is 300 km. Two motorcyclists start simultaneously from these stations and move towards each other. The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km, find the speed of each motorcyclist. Check your solution.

Q. Arpita's present age is thrice of Shilpa. If Shilpa's age three years ago was x, then Arpita's present age is

1. 3x + 3
2. 3x - 3
3. 3(x + 3)
4. 3(x – 3)

Q.

The difference between the squares of two consecutive numbers is 31. Find the numbers.

Q.

$A,B,C,D$ and $E$ went to a restaurant. $A$ paid $\frac{1}{2}$ of the bill, $B$ paid $\frac{1}{5}$ of the bill and rest of the bill was shared equally by $C,D,\mathrm{and}E$ .What fraction of the bill was paid by each?

Q.

Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages.