Division problem - class-VI
Description: division problem | |
Number of Questions: 79 | |
Created by: Jatin Goyal | |
Tags: comparison of quantities ratio direct and inverse variation maths fundamental concept of ratio and proportion ratio, proportion and unitary method |
A sum of $Rs.350$ is to be divided between $A$ and $B$ in the ratio $3:4.$ If the amount distributed in the ratio $4:3$ the amount gained by $A$ is
Instead of dividing $Rs.\,117$ among $P,Q,R$ in the ratio $\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}\colon\displaystyle\frac{1}{4}$, by mistake it was divided in the ratio $2\,\colon\,3\,\colon\,4$. Who gained in the transaction?
If $2$ kg of almonds cost as much as $8$ kg of walnuts and the cost of $5$ kg of almonds and $16$ kg of walnuts is Rs. $1080$, the cost of almonds per kg is
A man encashes a cheque of $Rs. 600$ from a bank. The bank pays him money in $10$ rupee notes and $5$ rupee notes only, totalling $72.$ The ratio of the number of $10$ rupee notes to that of $5$ rupee notes is
46.3=_______________
If Rs. $60$ is divided into two parts in the ratio $2 : 3,$ then the difference between those two parts is ______
A number $351$ is divided into two parts in the ratio $2 : 7.$ Find the product of the numbers.
The ratio of the heights of A and B is $4 : 3$ . If B is $1.2$m tall then the height of A is:
The sum of the squares of three numbers which are in the ratio $2 : 3 : 4$ is $725.$ What are these numbers?
The ratio of two numbers is $2:6$ and their difference is $84$. The largest number is-
The average age of three boys is $25$ years and their ages are in the ratio $ 3: 5 : 7$. The age of the youngest boy is
An amount of money is to be divided among $P, Q$ and $R$ in the ratio $4 : 7 : 9.$ If the difference between the shares of $Q$ and $R$ is Rs. $500,$ what will be the difference between the shares of $P$ and $Q$?
The whole number whose sum is $72$ cannot be in the ratio
In a zoo, deer and lions are in the ratio of $5:2$. If there are $20$ deer then how many lions are there ?
Four taps can individually fill a cistern of water in $1$ hour, $2$ hours, $3$ hours and $6$ hours respectively. If all the four taps are opened simultaneously, the cistern can be filled in how many minutes?
If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio
If Rs 782 be divided into three parts proportional to $\dfrac{1}{2} : \dfrac{2}{3} : \dfrac{3}{4} $ then the first part is
Of the $126$ students who applied for a full scholarship at Oxbow College, $9$ received one. What is the ratio of students who received a scholarship to those who didnt?
If Rs. $2,600$ is divided among three persons $A, B$ and $C$ in the ratio $\dfrac {1}{2} : \dfrac {1}{3} : \dfrac {1}{4}$, how much does $A$ get?
Three numbers are in the ratio $3 : 2 : 5$ and the sum of their squares is $1862$. What are the three numbers?
Divide Rs.$3600$ between Satya and Vishnu in the ratio of $3:5$. Then Vishnu gets money -
Amar is twice as fast as Rohit is thrice as fast as Chanda is.the journey covered by Chanda in 42 minutes will be covered b Amar in
If $R$ divides the line segment joining $P(2, 3, 4)$ and $Q(4, 5, 6)$ in the ratio $-3:2$, then the value of the parameter which represents $R$ is?
The incomes of A and B are in the ratio $3 : 2$ and their expenditures are in the ratio $5 : 3$.If each saves Rs.$1000$ , then A's income is ______.
x is $\dfrac{1}{6}$ of $3\dfrac{3}{4}$ and y is of $2\dfrac{1}{6}$ Then
Two number are in the ratio 8 : 3. If the sum of numbers is 143, Find the numbers.
Divide $16$ into two parts such that the twice of the square of the greater part exceeds, the square of the smaller part by $164$. Then, the greater part is
Geeta read $\dfrac{3}{8}$ of a book on one day and $\dfrac{4}{5}$ of the remaining on another day. Find the portion of the book left unread after two days
Geeta read $\dfrac{3}{8}$ of a book on one day and $\dfrac{4}{5}$ of the remaining on another day. Find the portion of the book left unread after one day.
$16$ boys went to a canteen to have tea and snacks together. The bill amounted to Rs $114.40$ . What will be the contribution of a boy who pays for himself and $5$ others?
In an examination, the ratio of passes to failures was 4 : 1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5 : 1. Find the number of students who appeared for the examination.
Geeta read $\dfrac{3}{8}$ of a book on one day and $\dfrac{4}{5}$ of the remaining on another day. Find the portion of the book read on another (second) day.
On a particular day, $\dfrac{2}{15}$th of the total number of students in a school were absent. If $1950$ were present on that day, find the total strength of the school.
Geeta read $\dfrac{3}{8}$ of a book on one day and $\dfrac{4}{5}$ of the remaining on another day. Find the total number of pages in the book, if $60$ pages are left unread after the second day.
The annual incomes of A and B are in the ratio 3 : 4 and their annual expenditures are in the ratio 5 : 7. If each saves Rs. 5, 000 then, find their annual incomes.
If Rs. $840$ is divided between $P$ and $Q$ in the ratio $3:4$, then P's share is
A sum of money is divided into $2$ parts such that $6$ times of one part added to $15$ times the other gives $8$ times the whole. What is the ratio of one part to the other?
Some one rupee, $50$ paise and $25$ paise coins make up $Rs.\,93.75$ and their numbers are in the ratio $3\,\colon\,4\,\colon\,5$. Find the number of each type of coins.
The product of two positive integers is $936$. Find the greater number, if the integers are in the ratio $13\,\colon\,18.$
The ratio of the number of boys to girls of a school with $504$ students is $13\,\colon\,11$. What will be the new ratio if $12$ more girls are admitted?
Divide $Rs.\,715$ in the ratio $\displaystyle\frac{1}{2}\colon\displaystyle\frac{1}{3}\colon\displaystyle\frac{1}{4}$.
An amount of money is to be distributed among $A,B\,$and$\,C$ in the ratio $3\,\colon\,1\,\colon\,5$. The difference between $B's$ share and $C's$ share is $Rs.\,3600$. What is the total of $A's$ share and $B's$ share?
Three numbers are in the ratio $\displaystyle\frac{1}{2}\colon\displaystyle\frac{2}{3}\colon\displaystyle\frac{3}{4}$. The difference between the greatest and the smallest numbers is $36$. The numbers are
A certain sum of money is divided between $P$ and $Q$ in the ratio $3\displaystyle\frac{1}{2}\,\colon\,5\displaystyle\frac{1}{2}$. If $P$ gets $Rs.\,180$ less than $Q$, then what is the share of $Q$?
The ratio of the monthly income to the saving of a family is $9\,\colon\,2$. If the monthly income of the family is $Rs.\,2700$, then its monthly expenditure will be
In a particular type of fertilizer, the ratio of two chemicals $A$ and $B$ is $2\,\colon\,5$. In $21:kg$ of this fertilizer, if $3:kg$ of $A$ is added. What will be the ratio of $A$ to $B$ in the new fertilizer?
A company makes a profit of $Rs.\,9,00,000$. $20\%$ of which is paid as taxes. If the rest is divided among the partners $P,Q\,and\,R$ in the ratio $1\,\colon\,1\displaystyle\frac{1}{2}\colon2$, then the share of $P,Q$ and $R$ are respectively.
If $378$ coins consist of one rupee, $50$ paise and $25$ paise coins whose values are in the ratio $13 : 11 : 7,$ then the number of $50$ paise coins will be
The ratio of the number of ladies to that of gents at a party was $3 : 2.$ When $20$ more gents joined the party, the ratio was reversed. The number of ladies present at the party was
Two numbers are in the ratio $2\,\colon\,3$. If $2$ is subtracted form the first and $2$ is added to the second, the ratio becomes $1\,\colon\,2$. What is the sum of the number?
The ratio of the number of boys to that of the girls in a school of $432$ students is $5\colon4$. How many new girls should join the school for the ratio to be $1\colon1$.
The sum of three numbers is $116.$ The ratio of the second to the third is $9 : 16$ and the first to third is $1 : 4.$ The second number is
A sum of money is divided among Peter, Anita and Janet in the ratio $13\colon12\colon7$. Calculate how much Anita gets, if the amount Peter gets more than Janet is $Rs.\,360$?
Divide 170 into three parts such that the first part is 10 more than the second and its ratio with the third part is 2:5.
$A$ and $B$ have a monthly incomes in the ratio $5\,\colon\,6$ and monthly expenditures in the ratio $3\,\colon\,4$. If they save $Rs.\,1800$ and $Rs.\,1600$ respectively, find the monthly income of $B$.
A person divided Rs. $10,800$ among his three sons in the ratio $3\colon4\colon5$. Second son kept Rs. $1000$ for himself, gave Rs. $600$ to his wife and divided the remaining money among his two daughters in the ratio $11\colon9$. Then one of his daughter's received
The incomes of $A$ and $B$ are in the ratio $5 : 3.$ The expenses of $A, B$ and $C$ are in the ratio $8 : 5 : 2.$ If C spends $Rs. 2000$ and $B$ saves $Rs. 700,$ then $A$ saves
$Rs. 366$ is divided among A,B & C so that A get $\dfrac{1}{2}$ as much B & C together, B get $\dfrac{2}{3}$ as much A & C together , then the share of A is
A sum of money is delivered among $A, B, C$ and $D$ in the ratio $3:4:9:10$. If the share of $C$ is Rs. $2580$ more than the share of $B$, What is the total amount of money of $A$ and $D$ together ?
$Rs. 2430$ are distributed among three persons so that their shares be diminished by $Rs. 5, Rs. 10$ and $Rs. 15$ respectively, the remainder shall be in the ratio $3 : 4 : 5.$ The share of $C$ is
If the sum of two whole numbers is $24$, which of the following cannot be the ratio ?
A tiny piggy bank contains Rs. 1, 50 paise, 25 paise coins in the ratio 1 : 2 : 3. If the total value is Rs. 154, then what is the number of 25 paise coins ?
A amount of $Rs.735$ was divided between A,B and C. If each of them had received $Rs.25$ less, their shares would have been in the ratio $1:3:2$. The money received by C was
A pot contains $81$ litres of pure milk. $\displaystyle \frac{1}{3} $ of the milk is replaced by the same amount of water. Again $\dfrac{1}{3} $ of the mixture is replaced by that amount of water. The ratio of milk and water in the new mixture is:
Divide Rs. $6500$ in two parts, such that if one part is lent out at $9\%$ per annum and other at $10\%$ per annum, the total yearly income(income from simple interest) is Rs.$605$.
Rs.$120$ are divided among A,B,C such that A" share is Rs.$20$ more than B"s and Rs.$20$ less than C"s. What is B"s share?
A, B and C enter into a partnership investing Rs.$35000$, Rs.$45000$ and Rs.$55000$. Find their respective shares in annual profit of $40,500$.
Rs.$700$ is divided among A,B and C so that A receives half as much as B and B receives half as much as C. Then C's share is
In a college, the ratio of the number of boys to girls is $8:5$. If there are $200$ girls, the total number of students in the college is
Anand and Deepak started a business investing Rs.$22,500$ and Rs.$35,000$ respectively. Out of a total profit of Rs.$13,800$. Deepak"s share is
Kamal started a business investing Rs.$9000$. After five months, Sameer joined with a capital of $Rs.8000$. If at the end of the year, they earn a profit of $Rs.6970$, then what will be the share of Sameer in the profit?
In a mixture $60$ litres, the ratio of milk and water $2:1$. If this ratio is to be $1:2$, then the quantity of water to be further added is
A basket has 30 items, find the number of items that two persons A and B gets if the the items are divided in the ratio of 2:3.
A box contains coins of 50 paise, 1 rupee and 2 rupees. For 240 coins in the box, the ratio of 50 paise to 1 rupee to 2 rupees is 8 : 17 : 15. How many 1 rupee coins are there in the box ?
If the ratio of men to women in an office is $7$ to $5$. Which of the following could not be the number of employees in the office ?
Two numbers are in the ratio $3 : 5$. If the sum of numbers is $144$, then the small number is
In the word MATHEMATICS , the ratio of number of consonants to the number of vowels is _____ .
A sum of Rs. 9,000 is to be distributed among A, B and C in the ratio of 4 : 5 : 6. What will be the difference between As and Cs shares?
The ratio of length of two trains is $5 : 3$ and the ratio of their speed is $6 : 5$. The ratio of time taken by them to cross a pole is