Ratio & Proportion

The ratio of the length to the breadth of a rectangular park is $3 : 2$, and its perimeter is 120m. What is the area of ...

The ratio of the ages of two friends is $4 : 3$. After $4$ years, this ratio becomes $6 : 5$. What will be the sum of th...

A sum of money is to be divided among three friends P, Q, and R in the ratio $5 : 3 : 4$. If P receives ₹1,500 more than...

The measures of the three angles of a triangle are in the ratio 17 : 13 : 15. Find the positive difference between the g...

Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. Find the amount equal to the sum of three times th...

If 28.9 : x :: x : 36.1, and x > 0, then find the value of x....

A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7 respectively. If the total amount i...

The incomes of P, Q and R are in the ratio 10 : 12 : 9 and their expenditures are in the ratio 12 : 15 : 8. If Q saves 2...

If A:B = 6:8 and B:C = 7:10, then find the ratio A:B:C....

The mean proportional of 2 and 32 is _____...

The following pie chart shows the percentage distribution of a total of 1600 employees in different departments of a com...

The ratio between male and female members in a club is 2 : 3. If the number of male members is increased by 200, the rat...

Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. What is the amount equal to the sum of three times...

The incomes of P, Q, and R are in the ratio 10 : 12 : 9 and their expenditures are in the ratio 12 : 15 : 8. If Q saves ...

Find the quotient when the mean proportional of 7 1/5 and 245 is divided by an even prime number....

If A:B = 6:8 and B:C = 5:12, find the ratio A:B:C....

What is the value of D, if A : C = B : D in the given table? ![image.png](https://res.cloudinary.com/aptidude/image/upl...

Find the **fourth proportion** to $1.25$, $5.75$, and $3.5$....

The ratio of the ages of A and B, 3 years ago, was 5 : 7. The ratio of their ages, 13 years from now, will be 9 : 11. If...

The table given below shows the distribution of employees in four different companies in 2022. ![image.png](https://res...

The monthly incomes of A, B and C are in the ratio 2 : 9 : 3 and their expenses are in the ratio 3 : 9 : 5. If A’s savin...

The ratio between male and female members in a club is $2 : 3$. If the number of male members is increased by $200$, the...

If $a : b = c : d = e : f = 5 : 7$, then what is the ratio $\left(3a + 5c + 11e\right) : \left(3b + 5d + 11f\right)$?...

The difference between two numbers is 48. The ratio of these two numbers is $7:3$. What is the sum of the two numbers?...

If $a : b = 3 : 4$, $b : c = 2 : 3$, and $c : d = 5 : 6$, then find the ratio $a : b : c : d$....

Two numbers are in the ratio $2 : 3$. Their sum is $135$. Find the numbers....

If $x : y = 5 : 6$, then find the ratio of $(2x + 3y) : (3x + 5y)$....

What should be added to each term of the ratio $5 : 11$ so that the ratio becomes $3 : 5$?...

If $40\%$ of $A = 60\%$ of $B = \frac{1}{6}$ of $C$, then find the ratio of $A : B : C$....

A sum of ₹17,600 was divided between Jeevan, Praveen, and Kanan, such that the ratio of the sums received by Jeevan and ...

Divide ₹ 1488 among X, Y and Z. If the shares are in the ratio $X : Y = 4 : 5$ and $Y : Z = 7 : 6$, then find the share ...

The given bar graph shows the number of students enrolled in Institutes A and B during 5 years (2018 to 2022). ![image....

In an election between R and S, R gets 110% of the votes of S and beats S by 770 votes. If there were no invalid votes, ...

In a room, there are some chairs and some people. If on each chair, only one person is seated, then there is no chair fo...

‘x’ varies directly with the cube of ‘y’, and inversely with the square of ‘z’. If x = 1/36 when y = 2 and z = 3, then w...

The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ...

From 2004 to 2006, what is the ratio of the total sales of bicycles B1 to the total sales of bicycles B2? ![image.png](...

There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles,...

The following table shows the number of pages printed by 3 printers (P, Q and R) for 3 days. | Day | P | Q | ...

The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively, of their individual salari...

If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:...

A, B and C invested money in a business such that 2 times A's share, 4 times B's share and 6 times C's share are all equ...

If 300 calories are burned by jogging 6 km, then how many calories were burnt in the given week based on the distances j...

The ratio of boys to girls initially in a college is 5 : 6. If 40 boys leave the college and 50 girls join the college, ...

At a school building, there is an overhead tank. To fill this tank 50 buckets of water are required. Assume that the cap...

The present ages (in years) of A and B are in the ratio of 3 : 4. Five years back, the ratio of their ages was 2 : 3. Wh...

In a collection of rare coins, there is one gold coin for every four non-gold coins. If 20 more gold coins are added to ...

If A:B = 6 : 8 and B:C = 7 : 12, then find the ratio A:B:C....

If a ∶ b = c ∶ d = e ∶ f = 5 ∶ 7, then what is the ratio (3a + 5c + 11e) ∶ (3b + 5d + 11f)?...

30 is the mean proportional of 18 and A. Find the value of A....