List of top Mathematics Questions on Ratio and Proportion

The ratio of the ages of A and B is 5:3. After 6 years, their ages will be in the ratio 6:4. What is the current age of A?
Given that \( \frac{x - 19}{13} = \frac{y - 17}{11} = \frac{z - 15}{9} \), find the values of \( x, y, z \).
If \( A : B : C = 2 : 3 : 4 \), then find the value of \( \frac{A}{B} \div \frac{B}{C} \div \frac{C}{A} \):
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.
Mutual fund A Mutual fund BMutual fund C
Person 1 ₹10,000₹20,000 ₹20,000 
Person 2₹20,000 ₹15,000 ₹15,000 

At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
In a 600 m race, the ratio of the speeds of two participants A and B is 4:5. If A has a head start of 200 m, then the distance by which A wins is:
A mixture contains apple juice and water in the ratio 10 : x. When 36 litres of the mixture and 9 litres of water are mixed, the ratio of apple juice and water becomes 5 : 4. The value of x is:
If 15% of \(m = 20%\) of \(n\) then \(m : n\) is
If \(7x : 63 = 1 : 9\), then \(x\) is
If \(9 : 15 : : 45 : x\), then the value of \(x\) is
If \(a : b = 3 : 4\) and \(b : c = 8 : 9\), then \(a : c\) is
What is the value of X in the given proportion
14:10=X:15 ?
Ram sold 10 acres of land to Mani and Dinesh who paid him the total amount in the ratio of 2 : 3. Mani invested a further Rs.3 lakh in the land for the purpose of planting coconut and lemon trees in the ratio of 4 : 1. These trees were planted on equal areas of land. There were a total of 200 lemon trees. The sale price of one coconut was Rs.10 in 2019. The crop took 7 years to mature and when the crop was reaped in 2019, the total revenue generated was 50% of the total initial amount put in by Mani and Dinesh together. The revenue generated from the coconut and lemon trees was in the ratio of 5 : 4 and it was shared equally by Mani and Dinesh as the initial amount spent by them was equal.
The ratio of the number of boys and girls in a college is 5 : 4, if the percentage decrease in the number of boys is 30% and the percentage increase in the number of girls is 5%. The new ratio will be:
In a certain school, 25% of students are below 10 years of age. The number of students above 10 years of age is 3/5 of the number of students of 10 years of age, which is 75. What will be the total number of students in the school?
A mixture contains milk and water in the ratio 8 ∶ x. If 3 liters of water is added in 33 liters of mixture, the ratio of milk and water becomes 2 ∶ 1, then value of x is:
At the start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to the female participants became 2:1. The total number of participants at the start of the seminar was
The incomes of Chanda and Kim are in the ratio 5 : 3 and their expenditures are in the ratio 2 : 1. If each saves Rs. 1,000, then Chanda's expenditure is
The sum of two numbers, one of which is one-third of the other, is 36. The smaller number is:
One-fifth of the boys and one-fourth of the girls in a class exclusively joined a swimming camp. Two-thirds of boys and three-fifths of girls exclusively joined a sports camp. If the total number of boys and girls in the class is 65, how many girls joined the sports camp?

If a sum of money is divided equally among n children, each child will receive \(\$ 60\). If another child is added to the group, and the sum is divided equally among all the children, each child receives a \(\$50\) share. What is the sum of money?

There are two squares one of whose diagonal is double that of the other. The ratio of area of the bigger one to that of the smaller one is
The ratio of the ages of Anjali and Smita is 2 : 3. After 6 years the ratio of their ages becomes 5 : 7. What is the present age of Smita?
Out of the total production of iron from hematite, an ore of iron, 20% of the ore gets wasted. Out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80000 kg, then the quantity of hematite mined in the year is

A sum was divided among $P$, $Q$ & $R$. $R$ got double than $P$ who got double than $Q$. If the difference between the shares of $Q$ and $R$ is Rs. 3675.00, then the sum in rupees is

The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, the numbers are