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?

a : b = 4 : 9. If 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?

The ratio of age of A and B is x : y. If A's age is increased by 3 years and B's age is increased by 2 years then new ratio of their ages becomes 24: 25.

Divide Rs. 6940 in such a way that A gets (2/3)rd of what B gets and B gets (3/5)th of what C gets? What is the share of A and B together ?

The speeds of rickshaw, car and scooter are in the ratio of 3 : 5 : 6. What is the ratio of time taken by each one of them for the same distance ?

Rs. 960 were distributed among A, B, C and D in such a way that C and D together gets half of what A and B together gets and C gets one third amount of B.

The ratio of third proportional to 21 and 42 and mean proportional to 16 and 49 is ? Solution - Let, The third proportion = x. so, 21, 42 and x be in continued proportion.

A hotel incurs two types of expenses, one which is fixed and others depend upon no. of guests. When there are 10 guests, total expenses of hotel are Rs. 6000.

A milk man has a mixture of milk in which ratio of milk and water is 5 : 3. He sells 40 litres of milk i.e. mixture then he adds up 15 litres of pure water. Now the ratio of milk and water is 5 : 4.

The ratio of age of A and B is 8 : 9 and the age of B is 2/3 of C's age and age of C is 9/13 times the age of D. If the age of B is 18 years then the age of C is :

Equal quantities of three mixtures of milk and water are mixed in the ratio 1 : 2, 2 : 3 and 3 : 4. The ratio of water and milk in the mixture is ?

If 4A = 5B and 3A = 2C then the ratio of B : C is : For the ratio of b and c, Divide equation(1) by equation(2) we get, B/C = (4/5)A / (3/2)A B/C = 8/15 Thus, B : C = 8 : 15

Nehru Ji had 'n' chocolates. He distributed them among 4 children in the ratio 1/2 : 1/3 : 1/5 : 1/8. If he gave them each one a complete chocolate, the minimum number of chocolates that he had :

The ratio of working efficiency of A and B is 5:3 and the ratio of efficiency of B and C is 5:8.

There are two vessels containing the mixture of milk and water. In the first vessel the water is 2/3 of the milk and in the second vessel water is just 40% of the milk.

In Ruchika's wallet there are Rs. 16, consisting of 10 paise, 20 paise and Re. 1 coins. The ratio of number of coins 10 paise coins and 20 paise is 6 : 1. The maximum number of Re. 1 coin is:

The value of diamond is directly proportional to the square of its weight. A diamond unfortunately breaks into 3 pieces with weights in ratio 3 : 4 : 5, thus a loss of Rs. 9.4 lakh is incurred.

During our campaign against child labour we have found that in three glass making factories A, B and C there were total 33 children aged below 18 were involved.

In the Squadron of Indian Air Force the ratio of Sukhoi is to Mig and Jaguar together is 5:7 and the ratio of Jaguar is to Sukhoi and Mig together is 1: 2. Find the ratio of Sukhoi and Mig:

In a milk shoppe there are three varieties of milk, ‘pure’, ’Cure’ and ‘Lure’ . The ‘Pure’ milk has 100% concentration of milk. The ratio of milk is to water in the ‘Cure’ is 2:5

The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2 , 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed.

Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7: 4: 3. What is the share of a woman?

Mr. Teremere and Mr. Meretere have 5 chocolates and 3 chocolates with them respectively. Meanwhile Mr. Khabbu Singh Joined them and all 8 chocolates were distributed equally

A child has three different kinds of chocolates costing Rs. 2, Rs. 5 and Rs. 10. He spends total Rs. 120 on the chocolates. What is the minimum possible number of chocolates

Hutch and Essar entered into a partnership just 5 months ago. The ratio of profit claimed by Hutch and Essar is 6:17. If Essar had just started his business 12 months ago with Rs. 1275, what is the amount contributed by Hutch?

The ratio of income of Anil and Mukesh is 2 : 3. The sum of their expenditure is Rs. 8000 and the amount of savings of Anil is equal to the amount of expenditure of Mukesh. What is the sum of their savings?

Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms 1:3. What is the average of the four numbers?

A student obtained equal marks in History and Sociology. The ratio of marks in Sociology and Geography is 2: 3 and the ratio of marks in History and Philosophy is 1: 2.

If 40 articles cost Rs. 180, the cost of 18 articles is : Solution - Cost of 40 aticles = 180 Cost of 1 article = 180/40 Cost of 1 article = 9/2 Cost of 18 articles = 18(9/2) Cost of 18 articles = 81