Ratio, Proportion and Variation

If $₹ 3900$ is divided among three persons A, B and C in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$.how much does A get?

The price of a Scooter and a Moped are in the ratio $9 : 5$. If a Scooter costs $₹6800$ more than a Moped, then find the price of a Scooter.

A certain amount is distributed among $\mathrm{A}, \mathrm{B} \mathrm{and} \mathrm{C}$ in the ratio of $3:5:7$ respectively. If $\mathrm{A}$ got $₹1196$ less than $\mathrm{C}$, what is the share of $\mathrm{B}?$

Lara had a certain sum of money. She bought books with $\frac{1}{3}$ of her money, and cosmetics with $\frac{1}{4}$ of the remainder. Finally, she purchased a toy by spending $\frac{1}{5}$ of what remained. She was then left with $₹ 50$. How much money did she have at the beginning?

If $A:B:C=2:3:4,$ then $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is equal to _____.

Sum of two different positive integers is $11$and the sum of their squares is $61$. What is the ratio of larger integer to the smaller integer?

A sum of $₹ 28600$ is to be divided among A, B and C in the ratio $\frac{3}{4}:\frac{4}{5}:\frac{5}{6}$. Then the share of B in$₹$ is _____.

The ratio of expenditure and savings is $3:2$ . If the income increases by $15\%$ and the savings increases by $6\%$ , then by how much percent should his expenditure increases?

A bag contains $25 \mathrm{paise}, 10 \mathrm{paise} \mathrm{and} 5 \mathrm{paise}$ coins in the ratio $1:2:3$. If the total value of the coins is $₹ 36$, the number of $25 \mathrm{paise}$ coins is _____.

A bag contains the coins of $25 \mathrm{paise}, 10 \mathrm{paise}$ and $5 \mathrm{paise}$ in the ratio of $1:2:3$. If the total value of the coins is $₹ 30$, what is the number of $5 \mathrm{paise}$ coins?

Salaries of Ravi and Sumit are in the ratio $2:3$. If the salary of each is increased by $₹ 4000$, the new ratio becomes $40:57$. What is Sumit's salary?

In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is $9 \mathrm{years}$ younger to her husband and the brother is $7 \mathrm{years}$ older than his sister. What is the age of the mother?

If the ratio of the areas of two similar triangles is $4:9$, then the ratio of their corresponding sides is _____.

A IBPS PO aspirant preparing for mains scores marks in English and Reasoning in ratio $3:2$ and in maths and Banking awareness section in ratio $2:1$. If he exceed his marks in Banking awareness than reasoning by $15$ and in English he scores $40$ marks less than maths. Then what is the ratio between marks in English and banking awareness?

In a college, the ratio of the number of students studying in Arts, Commerce and Science was $3:5:8$ respectively. If the number of the students in these streams be increased by $20\%, 40\%$ and $25\%$ respectively, the new ratio of the number of students in these streams will be?

A piece of cloth is cut into pieces in the ratio of $3:5$ by length. The longer of the two is further cut in the ratio of $5:6$ by length. What is the ratio of each of the three pieces?

Populations of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respective ratio of their populations becomes 25:36. What is the population of village X ?

The ratio of the prices of two houses A and B was 4 : 5 last year. This year, the price of A is increased by 25% and that of B by Rs.50000. If their prices are now in the ratio 9 : 10, the price of A last year was-

What ratio must a lab technician mix methane worth Rs. 60 a kg and Ethane worth Rs. 65 a kg so that by selling this compound mixture at Rs. 68.20 a kg, he may gain 10%?

Pratul's monthly income is four-fifth of Ravi's montly income. Ravi's monthly income is Rs. 36,000. What is Pratul's annual income ?