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

The monthly incomes of Vasu and Ravi are in the ratio 7 : 8 and their monthly expenditures are in the ratio 3 : 4, respectively. If the respective savings of Vasu and Ravi are Rs. 2,400 and Rs. 1,600, then find the monthly income of Ravi.

  1. Rs. 9,600

  2. Rs. 8,400

  3. Rs. 7,200

  4. Rs. 6,500

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

Let incomes be 7x and 8x. Expenditures are 3y and 4y. Savings: 7x - 3y = 2400 and 8x - 4y = 1600. Solving this system: 4y = 8x - 1600, so y = 2x - 400. Substitute into the first: 7x - 3(2x - 400) = 2400, 7x - 6x + 1200 = 2400, x = 1200. Ravi's income is 8x = 9600.

Multiple choice

Directions: Study the following information carefully and answer the question. Three persons A, B and C altogether have a sum of Rs. 7200. If A gives B the same amount of money that B already has and B gives C the same amount of money that C already has, then all of them have equal amount of money. What is the ratio of the amounts that A, B and C respectively have initially?

  1. 12 : 8 : 3

  2. 7 : 3 : 2

  3. 13 : 12 : 11

  4. 4 : 2 : 1

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

Let initial amounts be A, B, C. After transfers, each has 7200/3 = 2400. Working backwards: before C gave to B, C had 2400/2 = 1200. B had 2400 + 1200 = 3600, so before B gave to C, B had 3600/2 = 1800. A had 2400 + 1800 = 4200. Ratio 4200:1800:1200 simplifies to 7:3:2.

Multiple choice

A and B earn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are Rs. 5,000, the monthly income of B is

  1. Rs. 7,000

  2. Rs. 14,000

  3. Rs. 5,000

  4. Rs. 10,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let incomes be 2x and x. Savings are 4y and y. Expenses are 5k and 3k. Income - Savings = Expenses. 2x - 4y = 5k and x - y = 3k. Solving the system with 4y + y = 5000 (y=1000) leads to x = 7000.