Practice: Ratio & Proportion

Question 1 of 25

Medium Ratio & Proportion

The ages of A and B are in the ratio 7:5. After 6 years, the ratio of their ages will be 9:7. What is the present age of A?

Question 2 of 25

Medium Ratio & Proportion

A jar contains a mixture of milk and water in the ratio 7:3. If 15 liters of water is added, the ratio becomes 7:5. What is the original quantity of milk?

Question 3 of 25

Medium Ratio & Proportion

Two alloys contain gold and silver in the ratio 3:4 and 5:6. What is the ratio of gold to silver if equal quantities of the two alloys are mixed?

Question 4 of 25

Hard Ratio & Proportion

The ratio of the present ages of A and B is 5:7. After 8 years, the ratio of their ages will be 3:4. What is the present age of A?

Question 5 of 25

Medium Ratio & Proportion

A bag contains coins of Rs. 1, Rs. 2, and Rs. 5 in the ratio 3:5:7. If the total amount of money is Rs. 530, find the number of Rs. 5 coins.

Question 6 of 25

Medium Ratio & Proportion

Two alloys contain gold and copper in the ratio 5:3 and 3:2. To get 50 kg of a new alloy with a gold to copper ratio of 4:3, how much of the first alloy should be mixed?

Question 7 of 25

Medium Ratio & Proportion

The incomes of A and B are in the ratio 2:3 and their expenditures are in the ratio 1:2. If both save Rs. 2000, find A's income.

Question 8 of 25

Medium Ratio & Proportion

Three numbers are in the ratio 2:3:5. If the sum of the smallest and largest numbers is 50, find the middle number.

Question 9 of 25

Hard Ratio & Proportion

The ratio of two numbers is 4:5. If 9 is added to both the numbers, the ratio becomes 7:8. What is the sum of the original two numbers?

Question 10 of 25

Medium Ratio & Proportion

In a class, the ratio of boys to girls is 3:4. If there are 18 boys, how many girls are there?

Question 11 of 25

Hard Ratio & Proportion

The incomes of A, B, and C are in the ratio 7:9:12, and their expenses are in the ratio 8:9:15. If A saves 1/4th of his income, what is the ratio of their savings?

Question 12 of 25

Medium Ratio & Proportion

The ages of A and B are in the ratio 4:3. Five years ago, the ratio of their ages was 5:3. What is the present age of A?

Question 13 of 25

Medium Ratio & Proportion

A mixture contains milk and water in the ratio 4:1. On adding 5 liters of water, the ratio of milk to water becomes 4:3. Find the original quantity of milk in the mixture.

Question 14 of 25

Medium Ratio & Proportion

The ratio of the number of boys to girls in a class is 3:2. If there are 15 more boys than girls, how many boys are there in the class?

Question 15 of 25

Medium Ratio & Proportion

The ratio of the speeds of two trains is 5:8. If the second train covers 400 km in 5 hours, what is the speed of the first train?

Question 16 of 25

Medium Ratio & Proportion

In a mixture of milk and water, the ratio of milk to water is 4:1. If 10 liters of water is added to the mixture, the ratio becomes 2:1. What is the initial quantity of milk in the mixture?

Question 17 of 25

Medium Ratio & Proportion

A and B have money in the ratio 7:9. If A has Rs. 350, how much money does B have?

Question 18 of 25

Hard Ratio & Proportion

The ratio of the sides of a triangle is 3:4:5. If the perimeter is 72 cm, what is the length of the longest side?

Question 19 of 25

Medium Ratio & Proportion

Three friends, A, B, and C, start a business. A invests Rs. 20,000, B invests Rs. 30,000, and C invests Rs. 50,000. After a year, the profit is Rs. 10,000. What is B's share of the profit?

Question 20 of 25

Medium Ratio & Proportion

A sum of Rs. 840 is divided among P, Q, and R such that P gets twice as much as Q and Q gets twice as much as R. How much does Q get?

Question 21 of 25

Hard Ratio & Proportion

In a mixture of 45 liters, the ratio of milk to water is 4:1. If 15 liters of this mixture is removed and replaced with 15 liters of water, what will be the new ratio of milk to water?

Question 22 of 25

Hard Ratio & Proportion

A and B together can complete a work in 10 days. B and C together can complete the same work in 12 days. A, B, and C together can finish it in 8 days. How long would A and C take to complete the work together?

Question 23 of 25

Medium Ratio & Proportion

The incomes of A and B are in the ratio 3:4 and their expenditures are in the ratio 5:7. If A saves Rs. 2,000 and B saves Rs. 3,000, what is the income of A?

Question 24 of 25

Hard Ratio & Proportion

A and B start a business with investments in the ratio of 3:5. After 6 months, A withdraws half of his capital. If the annual profit is Rs. 12000, what is A's share of the profit?

Question 25 of 25

Medium Ratio & Proportion

A sum of money is to be divided among A, B, and C in the ratio 2:3:4. If C receives Rs. 2,000 more than B, what is the total sum of money?

Finish

Practice: Ratio & Proportion

The ages of A and B are in the ratio 7:5. After 6 years, the ratio of their ages will be 9:7. What is the present age of A?

A jar contains a mixture of milk and water in the ratio 7:3. If 15 liters of water is added, the ratio becomes 7:5. What is the original quantity of milk?

Two alloys contain gold and silver in the ratio 3:4 and 5:6. What is the ratio of gold to silver if equal quantities of the two alloys are mixed?

The ratio of the present ages of A and B is 5:7. After 8 years, the ratio of their ages will be 3:4. What is the present age of A?

A bag contains coins of Rs. 1, Rs. 2, and Rs. 5 in the ratio 3:5:7. If the total amount of money is Rs. 530, find the number of Rs. 5 coins.

Two alloys contain gold and copper in the ratio 5:3 and 3:2. To get 50 kg of a new alloy with a gold to copper ratio of 4:3, how much of the first alloy should be mixed?

The incomes of A and B are in the ratio 2:3 and their expenditures are in the ratio 1:2. If both save Rs. 2000, find A's income.

Three numbers are in the ratio 2:3:5. If the sum of the smallest and largest numbers is 50, find the middle number.

The ratio of two numbers is 4:5. If 9 is added to both the numbers, the ratio becomes 7:8. What is the sum of the original two numbers?

In a class, the ratio of boys to girls is 3:4. If there are 18 boys, how many girls are there?

The incomes of A, B, and C are in the ratio 7:9:12, and their expenses are in the ratio 8:9:15. If A saves 1/4th of his income, what is the ratio of their savings?

The ages of A and B are in the ratio 4:3. Five years ago, the ratio of their ages was 5:3. What is the present age of A?

A mixture contains milk and water in the ratio 4:1. On adding 5 liters of water, the ratio of milk to water becomes 4:3. Find the original quantity of milk in the mixture.

The ratio of the number of boys to girls in a class is 3:2. If there are 15 more boys than girls, how many boys are there in the class?

The ratio of the speeds of two trains is 5:8. If the second train covers 400 km in 5 hours, what is the speed of the first train?

In a mixture of milk and water, the ratio of milk to water is 4:1. If 10 liters of water is added to the mixture, the ratio becomes 2:1. What is the initial quantity of milk in the mixture?

A and B have money in the ratio 7:9. If A has Rs. 350, how much money does B have?

The ratio of the sides of a triangle is 3:4:5. If the perimeter is 72 cm, what is the length of the longest side?

Three friends, A, B, and C, start a business. A invests Rs. 20,000, B invests Rs. 30,000, and C invests Rs. 50,000. After a year, the profit is Rs. 10,000. What is B's share of the profit?

A sum of Rs. 840 is divided among P, Q, and R such that P gets twice as much as Q and Q gets twice as much as R. How much does Q get?

In a mixture of 45 liters, the ratio of milk to water is 4:1. If 15 liters of this mixture is removed and replaced with 15 liters of water, what will be the new ratio of milk to water?

A and B together can complete a work in 10 days. B and C together can complete the same work in 12 days. A, B, and C together can finish it in 8 days. How long would A and C take to complete the work together?

The incomes of A and B are in the ratio 3:4 and their expenditures are in the ratio 5:7. If A saves Rs. 2,000 and B saves Rs. 3,000, what is the income of A?

A and B start a business with investments in the ratio of 3:5. After 6 months, A withdraws half of his capital. If the annual profit is Rs. 12000, what is A's share of the profit?

A sum of money is to be divided among A, B, and C in the ratio 2:3:4. If C receives Rs. 2,000 more than B, what is the total sum of money?

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