Top 50 Most Important Ratio, Proportion and Variation Questions of Aptitude with Solutions

In a mixture of petrol and kerosene, petrol is only 99 litres. If this same quantity of petrol would be presented in another mixture of petrol and Kerosene where total volume would be 198 litres

Sometimes ago in a Cinema hall a blockbuster movie was being shown. Due to excessive demand of the show, manager of the cinema hall increased the prices of tickets in all the three categories.

Half of the volume of petrol and kerosene mixture of ratio 7 : 5 is converted into a mixture of ratio 3 : 1 by the substitution (or replacement) method.

A man bought 9 mangoes for a rupee and sold them at 6 mangoes for a rupee. What is the ratio of profit to the cost price? Solution - C.P of 9 mangoes = Rs. 1, C.P of 1 mango = Rs. 1/9

Sachin bought 1.5 kg fresh grapes. The ratio of water is to pulp was 4:1. When his naughty child crushed these grapes, then some water get wasted. Now the ratio of water is to pulp is 3 : 2.

A three digit number is such that this number itself is divisible by the sum of its digits.The sum of hundreds and unit digit is 6 while the sum of the tens and unit digit is 5. What is the ratio of unit and tens digits :

There are two containers A and B filled with mentha oil with different prices and with volumes 140 and 60 liters respectively. Equal quantities are drawn from both A and B

A tin contains a mixture of Dew and Sprite in the ratio of 7 : 3 and another tin contains the Dew and Sprite in the ratio of 5 : 4. In what proportion should the solution of two tins

x varies directly as (y² +z²). At y = 1 and z = 2, the value of x is 15. Find the value of z, when x = 39 and y = 2. Solution - x varies directly as y² +z², x ∝ y² +z²

x varies directly as y and x varies indiretly as the square of z. When y = 75 and x = 6, then z = 5. Find the value of x when y = 24 and z = 4.

The ratio of numerator to a denominator of a fraction is 1/5 when x and 5x are added to the numerator and denominator respectively to the given fraction then the ratio of the new fraction will be :

10 years ago the age of Karishma was 1/3rd of the age of Babita. 14 years hence the ratio of ages of Karishma and Babita will be 5 : 9. Find the ratio of their present ages :

A rabit takes 22 leaps for every 17 leaps of a cat and 22 leaps of a rabit are equal to 17 leaps of the cat. What is the ratio of the speeds of rabbit and cat ?

The ratio of prices of Cello and Rotomac pens in 2000 were in the ratio of 3 : 5. In 2005 the price of Cello pen trebles itself and the price of Rotomac pen is increased by Rs. 100

A girl buys 2 pigeons for 182. She sells one at a loss of 5% and another at a profit of 8%. But she neither gains nor loses on the whole. Find the price of pigeon which has sold at a profit.

Petrol is 7 times heavy than kerosene and castrol Mobil is 18 times as heavy as Kerosene. What should be the ratio of petrol and Mobil in the new mixture

In a wallet the ratio of 25 paise, 50 paise and Re. 1 coins are in the ratio of 12 : 4 : 3, which amounts to Rs. 600. Find the no. of coins of 25 paise :

16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency) are required to reap rest of the field in 8 days ?

6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. What is the ratio of the efficiency of a kirlosker pump and a USHA pump ?

Five numbers a, b, c, d and e are in the ratio of 2 : 3 : 5 : 8 : 9 and their sum is 162. Find the average of all these numbers :

When 5 is added to numerator and denominator both of a (positive) fraction, then the new ratio of numerator to denominator becomes 11 : 15. What is the original ratio ?

The ratio of ages of Rahul and Deepesh is 3 : 5. 10 years later this ratio becomes 5 : 7. What is the present age of Deepesh?