Practice: Ratio & Proportion

Question 1 of 25

Hard Ratio & Proportion

The ratio of the ages of A and B is 5:7. Four years later, the ratio will become 3:4. What is the current age of A?

Question 2 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 3 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 4 of 25

Medium Ratio & Proportion

The ratio of the present ages of Rahul and Sonia is 4:5. After 6 years, the ratio becomes 5:6. What is Sonia's present age?

Question 5 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 6 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 7 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 8 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 9 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 10 of 25

Hard Ratio & Proportion

A box contains coins in the ratio of 2:3:5 of Rs. 1, Rs. 2, and Rs. 5 coins respectively. If the total amount is Rs. 1180, how many Rs. 5 coins are there?

Question 11 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 12 of 25

Medium Ratio & Proportion

Two numbers are in the ratio 5:8. If the sum of the numbers is 65, find the larger number.

Question 13 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 14 of 25

Medium Ratio & Proportion

The incomes of A and B are in the ratio 5:4, and their expenditures are in the ratio 3:2. If each saves ₹5000, what is A's income?

Question 15 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 16 of 25

Hard Ratio & Proportion

The ratio of the number of boys to girls in a school is 8:5. If 40 more boys join the school, the ratio becomes 10:5. How many girls are there in the school?

Question 17 of 25

Medium Ratio & Proportion

The ratio of the speed of two trains is 5:7. If the first train covers 300 km in 5 hours, find the speed of the second train.

Question 18 of 25

Medium Ratio & Proportion

The ratio of boys to girls in a school is 7:5. If there are 120 more boys than girls, what is the total number of students in the school?

Question 19 of 25

Medium Ratio & Proportion

The ratio of the length to the width of a rectangle is 5:2. If the perimeter of the rectangle is 84 cm, find the width.

Question 20 of 25

Medium Ratio & Proportion

The ratio of the present ages of P and Q is 3:2. After 5 years, the ratio of their ages will be 4:3. Find the present age of P.

Question 21 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 22 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 23 of 25

Medium Ratio & Proportion

In a school, the ratio of the number of boys to girls is 5:7. If there are 120 more girls than boys, how many boys are there in the school?

Question 24 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?

Question 25 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?

Finish

Practice: Ratio & Proportion

The ratio of the ages of A and B is 5:7. Four years later, the ratio will become 3:4. What is the current 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.

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?

The ratio of the present ages of Rahul and Sonia is 4:5. After 6 years, the ratio becomes 5:6. What is Sonia's present age?

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?

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 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 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 box contains coins in the ratio of 2:3:5 of Rs. 1, Rs. 2, and Rs. 5 coins respectively. If the total amount is Rs. 1180, how many Rs. 5 coins are there?

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?

Two numbers are in the ratio 5:8. If the sum of the numbers is 65, find the larger number.

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?

The incomes of A and B are in the ratio 5:4, and their expenditures are in the ratio 3:2. If each saves ₹5000, what is A's income?

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

The ratio of the number of boys to girls in a school is 8:5. If 40 more boys join the school, the ratio becomes 10:5. How many girls are there in the school?

The ratio of the speed of two trains is 5:7. If the first train covers 300 km in 5 hours, find the speed of the second train.

The ratio of boys to girls in a school is 7:5. If there are 120 more boys than girls, what is the total number of students in the school?

The ratio of the length to the width of a rectangle is 5:2. If the perimeter of the rectangle is 84 cm, find the width.

The ratio of the present ages of P and Q is 3:2. After 5 years, the ratio of their ages will be 4:3. Find the present age of P.

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 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?

In a school, the ratio of the number of boys to girls is 5:7. If there are 120 more girls than boys, how many boys are there in the school?

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?

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?

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