Practice: Ratio & Proportion

Question 1 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 2 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 3 of 25

Medium Ratio & Proportion

A sum of money is divided among A, B, and C in the ratio 3:4:5. If C receives Rs. 2000 more than A, what is the total sum of money?

Question 4 of 25

Medium Ratio & Proportion

The ratio of the speed of a car to a bike is 4:3. If the car covers 240 km in 3 hours, how much time will the bike take to cover 180 km?

Question 5 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 6 of 25

Hard Ratio & Proportion

The salaries of A, B, and C are in the ratio 2:3:5. If the increments of 15%, 10%, and 20% are allowed respectively, what will be the new ratio of their salaries?

Question 7 of 25

Medium Ratio & Proportion

A mixture contains milk and water in the ratio 3:2. If 10 liters of water is added, the ratio becomes 3:4. Find the initial quantity of milk in the mixture.

Question 8 of 25

Medium Ratio & Proportion

If A:B = 2:3 and B:C = 4:5, then A:B:C = ?

Question 9 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 10 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 11 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 12 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 13 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 14 of 25

Medium Ratio & Proportion

The ratio of boys to girls in a class is 7:5. If there are 12 more boys than girls, how many boys are there in the class?

Question 15 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 16 of 25

Hard Ratio & Proportion

The amounts in three containers are in the ratio 5:6:8. If 15 liters are removed from each, the remaining amounts are in the ratio 5:7:9. What is the original quantity in the second container?

Question 17 of 25

Hard Ratio & Proportion

Two alloys contain gold and copper in the ratios 5:3 and 3:2. In what ratio should the two alloys be mixed to get a new alloy containing gold and copper in the ratio 7:4?

Question 18 of 25

Medium Ratio & Proportion

The incomes of A and B are in the ratio 5:3. Their expenses are in the ratio 4:3. If A saves Rs. 5000 and B saves Rs. 3000, what is the income of B?

Question 19 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 20 of 25

Hard Ratio & Proportion

A sum of money is divided among A, B, and C in the ratio 3:4:5. If C's share is Rs. 5000, what is the total sum of money?

Question 21 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 22 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 23 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 24 of 25

Hard Ratio & Proportion

Two alloys contain copper and zinc in the ratios 5:3 and 7:4. In what ratio should the two alloys be mixed to get a new alloy containing copper and zinc in the ratio 8:5?

Question 25 of 25

Hard Ratio & Proportion

A mixture contains alcohol and water in the ratio 3:2. If 10 liters of water is added, the new ratio becomes 2:3. What is the initial amount of alcohol in the mixture?

Finish

Practice: 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?

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

A sum of money is divided among A, B, and C in the ratio 3:4:5. If C receives Rs. 2000 more than A, what is the total sum of money?

The ratio of the speed of a car to a bike is 4:3. If the car covers 240 km in 3 hours, how much time will the bike take to cover 180 km?

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

The salaries of A, B, and C are in the ratio 2:3:5. If the increments of 15%, 10%, and 20% are allowed respectively, what will be the new ratio of their salaries?

A mixture contains milk and water in the ratio 3:2. If 10 liters of water is added, the ratio becomes 3:4. Find the initial quantity of milk in the mixture.

If A:B = 2:3 and B:C = 4:5, then A:B:C = ?

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.

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?

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?

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?

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.

The ratio of boys to girls in a class is 7:5. If there are 12 more boys than girls, how many boys are there in the class?

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?

The amounts in three containers are in the ratio 5:6:8. If 15 liters are removed from each, the remaining amounts are in the ratio 5:7:9. What is the original quantity in the second container?

Two alloys contain gold and copper in the ratios 5:3 and 3:2. In what ratio should the two alloys be mixed to get a new alloy containing gold and copper in the ratio 7:4?

The incomes of A and B are in the ratio 5:3. Their expenses are in the ratio 4:3. If A saves Rs. 5000 and B saves Rs. 3000, what is the income of B?

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 sum of money is divided among A, B, and C in the ratio 3:4:5. If C's share is Rs. 5000, what is the total sum of money?

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?

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?

Two alloys contain copper and zinc in the ratios 5:3 and 7:4. In what ratio should the two alloys be mixed to get a new alloy containing copper and zinc in the ratio 8:5?

A mixture contains alcohol and water in the ratio 3:2. If 10 liters of water is added, the new ratio becomes 2:3. What is the initial amount of alcohol in the mixture?

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