Practice: Ratio & Proportion

Question 1 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 2 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 3 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 4 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 5 of 25

Hard Ratio & Proportion

The ratio of the speeds of A and B is 2:3. If A increases his speed by 20 km/h, they both cover the same distance in the same time. What is B's original speed?

Question 6 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 7 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 8 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 9 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 10 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 11 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 12 of 25

Medium Ratio & Proportion

The ratio of the present ages of P and Q is 6:7. After 5 years, the ratio will be 7:8. Find the present age of P.

Question 13 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 14 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 15 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 16 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?

Question 17 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 18 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 19 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 20 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 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

Medium Ratio & Proportion

The monthly salaries of A and B are in the ratio 2:3. If both earn an additional Rs. 2000, the new ratio becomes 3:4. What is B's original salary?

Question 23 of 25

Hard Ratio & Proportion

In a partnership, A invests Rs. 8000 and B invests Rs. 6000. After 6 months, C joins with Rs. 10000. If the profit at the end of the year is Rs. 5400, what is C's share of the profit?

Question 24 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 25 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?

Finish

Practice: 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?

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?

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 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?

The ratio of the speeds of A and B is 2:3. If A increases his speed by 20 km/h, they both cover the same distance in the same time. What is B's original speed?

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

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 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 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?

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?

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?

The ratio of the present ages of P and Q is 6:7. After 5 years, the ratio will be 7:8. Find the present age of P.

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?

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 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?

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?

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 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.

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?

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?

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 monthly salaries of A and B are in the ratio 2:3. If both earn an additional Rs. 2000, the new ratio becomes 3:4. What is B's original salary?

In a partnership, A invests Rs. 8000 and B invests Rs. 6000. After 6 months, C joins with Rs. 10000. If the profit at the end of the year is Rs. 5400, what is C's share of the profit?

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 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?

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