Quantitative Aptitude

Ratio and Proportion

775 Questions
All Dividing a total in a given ratio 393 Income, expenditure, and equal-savings equations 117 Ratio changes with constant sum/difference 89 Combining ratios 72 Finding a missing term in a proportion 54 Direct, inverse, and power variation 29 Mean proportional 9 Compound, duplicate, and root ratios 8 Componendo and dividendo 2

Ratio and Proportion Questions

Multiple choice

In a stage show, the price of General tickets was exactly half the price of Premium tickets. The ratio of General to Premium tickets sold was 3 : 2. For a particular show, the total revenue earned from tickets of both types was Rs. 4200. What was the price of one Premium ticket if the difference between the number of General tickets sold and the number of Premium tickets sold was 40?

  1. Rs. 30

  2. Rs. 50

  3. Rs. 60

  4. Rs. 80

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Amir went grocery shopping and bought two different kinds of fruits. The cost of first fruit was Rs. 22 per kg and the cost of second fruit was Rs. 28 per kg. The quantities of first fruit and second fruit bought were in the ratio of 3 : 4. What was the average cost price (in Rs.) per kg of both the fruits?

  1. Rs. 23.52 per kg

  2. Rs. 24.46 per kg

  3. Rs. 24.96 per kg

  4. Rs. 25.43 per kg

  5. Rs. 26.52 per kg
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The average cost is the total cost divided by the total quantity. With a ratio of 3:4, let the quantities be 3kg and 4kg. Total cost = (3 * 22) + (4 * 28) = 66 + 112 = 178. Total quantity = 3 + 4 = 7. Average = 178 / 7 = 25.4285, which rounds to 25.43.

Multiple choice

The salaries of Arun and Raman are in the ratio 9 : 10. Arun and Raman both invest 25% and 20% of their monthly salaries, respectively, in Mutual funds. If the sum of their monthly salary is Rs. 95,000, the amount in Rs. invested by Arun in Mutual funds per month is:

  1. 11,800

  2. 11,725

  3. 11,575

  4. 11,250

  5. 10,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Arun:Raman = 9:10. Total parts = 19. Each part = 95000 / 19 = 5000. Arun's salary = 9 * 5000 = 45000. Investment = 25% of 45000 = 11250.

Multiple choice

An amount of money is divided among A, B and C respectively in the ratio of 6 : 18 : 27. If the difference between the total share of A and B together and C's share is Rs. 3600, what is the difference between B's and C's shares?

  1. 10,800

  2. 21,600

  3. 15,600

  4. 10,600

  5. 7600
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ratio A:B:C = 6:18:27. Let shares be 6k, 18k, 27k. (A+B) - C = (6k+18k) - 27k = -3k. Given | -3k | = 3600, so 3k = 3600, k = 1200. Difference between B and C = | 18k - 27k | = 9k = 9 * 1200 = 10,800.

Multiple choice

A person's spending is increased by 60% and his salary is increased by 25%. Due to which, his saved amount drops by Rs. 3500. The ratio of person's spending to his savings is 5 : 3. Calculate the increased salary of the person.

  1. Rs. 35,000

  2. Rs. 32,000

  3. Rs. 30,000

  4. Rs. 88,500

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let spending = 5x, savings = 3x. Salary = 8x. New spending = 1.6 * 5x = 8x. New salary = 1.25 * 8x = 10x. New savings = 10x - 8x = 2x. Change in savings = 3x - 2x = x = 3500. Original salary = 8 * 3500 = 28000. Increased salary = 1.25 * 28000 = 35000.

Multiple choice

Divide Rs. 169 in the ratio 2 : 5 : 6.

  1. Rs. 26, Rs. 66, Rs. 77

  2. Rs. 26, Rs. 65, Rs. 78

  3. Rs. 25, Rs. 67, Rs. 78

  4. Rs. 26, Rs. 70, Rs. 73

  5. Rs. 23, Rs. 65, Rs. 78
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sum of the ratio parts is 2 + 5 + 6 = 13. Each part is 169 / 13 = 13. The shares are 2*13 = 26, 5*13 = 65, and 6*13 = 78.

Multiple choice

William, Michael and Samuel divide some money such that if William gives some of his money to Michael, then Michael and Samuel will have equal amount of money. Instead, if Samuel gives the same amount to William, William will have twice the amount of money that Michael has. If William and Michael have money in the ratio 3 : 2, what percentage of the total money did Michael get?

  1. 20%

  2. 25%

  3. 33.33%

  4. 40%

  5. 50%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let W=3x, M=2x. Total = 5x+S. The problem describes a system of linear equations based on the transfers. Solving for the proportions shows Michael gets 25% of the total.

Multiple choice

John, Tom and Sachin collected Rs. 6,670. If their collected amounts were decreased by Rs. 40, Rs. 50 and Rs. 60, respectively, then their remaining amounts would be in the ratio of 1 : 3 : 4. Calculate the amount of money collected by Sachin.

  1. Rs. 3,100

  2. Rs. 3,220

  3. Rs. 3,320

  4. .Rs. 3,520

  5. Rs. 3,890
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the remaining amounts be 1k, 3k, and 4k. Total = 1k + 3k + 4k = 8k. The original total was 6670, and the total reduction was 40 + 50 + 60 = 150. So 8k = 6670 - 150 = 6520, which means k = 815. Sachin's amount = 4k + 60 = 4(815) + 60 = 3260 + 60 = 3320.

Multiple choice

Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd Classes were subsequently reduced by 1/6 and 1/12 respectively. If during a year, the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and total amount collected by the sale of tickets was Rs 1088 Lacs, then find the collection from the passengers of 1st class?

  1. 300

  2. 320

  3. 340

  4. 360
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original fares: 8x, 6x, 3x. New fares: 1st = 8x * (5/6) = 20x/3. 2nd = 6x * (11/12) = 11x/2. 3rd = 3x. Passenger ratio: 9y, 12y, 26y. Total = (20x/3 * 9y) + (11x/2 * 12y) + (3x * 26y) = 60xy + 66xy + 78xy = 204xy = 1088. xy = 1088 / 204 = 5.33. Collection from 1st class = 60xy = 60 * 5.33 = 320.