Ratio And Proportion Questions

$\text{P}$, $\text{Q}$ and $\text{R}$ enter into a partnership by investing their capitals in the ratio of $\frac{2}{5}:\frac{3}{4}:\frac{5}{8}$. After $4$ months, $\text{P}$ increased his capital by $50\%$, but $\text{Q}$ decreased his capital by $20\%$. What is the share of $\text{Q}$ in the total profit of $\text{₹}28,210$ at the end of a year?

What are the current ages of Antony and Betty if their ages are in the ratio $8:9$ now and will be in the ratio $9:10$ four years from now?

Find the third proportional to 5 and 15 which is equal to the fourth proportional of 2, 5 and 18.

The fourth proportional to 12,15,24 is:

A mixture of $750\text{kg}$ of alloy of copper and tin contains $25\%$ tin. How much tin must be added so that it becomes $70\%$ of the mixture?

A container contains a mixture of milk and water in the ratio $7:5$. When $9\text{litres}$ of mixture is drawn off and the container is filled with water, the ratio of milk and water becomes $7:9$. How many litres of milk was contained by the container initially?

Study the given table and answer the question that follows.
The table shows the percentage population of four states below poverty line and the proportion of male to female.



If the population of states A and D is $18,000$ each, then what is the total number of females below the poverty line in these states combined?

Find the fourth proportion to $10$, $12$, and $15$.

Three boys, on an average, are $25$ years old, and their ages are in the ratio of $3:5:7$. What is the age of the youngest boy?

In a class, the numbers of boys and girls are in the ratio of $3:5$. What is the percentage of boys in the class?

The ages of A and B are in the ratio 4:7, respectively. After 8 years, the ratio of their ages will be 2:3. What is the sum of the present ages of A and B (in years)?

What is the mean proportional of 45x
4
and 5y
2
?

Find the ratio between the fourth proportional of 42, 56, 63 and the fourth proportional of 189, 273, and 153.

The price of a television set and a washing machine are in the ratio of 8:7. If the cost of the television set is ₹4,800 more than the cost of the washing machine, then find the price of the washing machine.

The total number of students in three sections A, B and C of a class in a school is 340. The number of students in sections A and B are in the ratio 3:5 and those in sections B and C are in the ratio 3:2. What is the mean proportional between the number of students in section A and the number of students in section C?

Four numbers are in the ratio of 2:3:4: 5, and their sum is 56. Find the sum of the first and third numbers.

Three partners decided to start a business. They decided to donate 10% of the profit to a charity organisation and then the remaining profit would be shared among first, second and third partner in the ratio 1: 2: 2. The total profit received was ₹1,80,000. Find the share of the first partner.

The average age of 4 members of a family is 35 years. Their ages are in the ratio $8:7:1:12$. What is the age of the oldest member of the family (in years)?

The ratio of boys to girls in a school having 1440 students is $3:5$. Thirty girls were shifted to the other branch of the school. How many more boys should be admitted to the school to make this ratio $2:3$?

A sum of ₹8,520 is divided between A, B, C and D in the ratio $\frac{1}{2}:\frac{1}{4}:\frac{2}{5}:\frac{5}{8}$. What is the difference between shares of B and D?

The present ages of Ramu and Ravi are in the ratio of 4:3. After 5 years the ratio of their ages will be 5:4. Find their present ages, respectively.

Find the third proportional of 9, 7, ?, 14.

Two numbers are in the ratio of $3:7$. If $11$ is subtracted from each, the ratio between the numbers becomes $7:20$. Find the smaller number.

The fourth proportional to $4$, $a$ and $16a$ is $81$. What is the value of $a$?

$57\%$ of Ranita’s weekly income is equal to $76\%$ of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by $\text{₹}400$, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been $6:5$. What is Bhaskar’s weekly income (in $\text{₹}$)?