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

An amount of money is to be divided among P, Q and R in the ratio of 3 : 5 : 7, respectively. If the amount received by R is Rs. 4000 more than the amount received by Q, then what will be the total amount received by P and Q together?

  1. Rs. 8000

  2. Rs. 12,000

  3. Rs. 16,000

  4. Cannot be determined

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

Ratio P:Q:R = 3:5:7. Let amounts be 3x, 5x, 7x. R - Q = 2x = 4000, so x = 2000. P + Q = 3x + 5x = 8x = 8 * 2000 = 16000.

Multiple choice

Divide Rs. 9800 among A, B and C in such a way that the ratio of the shares of A and B is 2 : 3 and that of the shares of B and C is 4 : 5. Find the respective shares of A, B and C.

  1. Rs. 2240, Rs. 3360 and Rs. 4200

  2. Rs. 800, Rs. 4200 and Rs. 4800

  3. Rs. 2400, Rs. 3800 and Rs. 3600

  4. Rs. 2000, Rs. 2400 and Rs. 5400
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B = 2:3 = 8:12. B:C = 4:5 = 12:15. Ratio A:B:C = 8:12:15. Total parts = 8+12+15 = 35. One part = 9800 / 35 = 280. A = 8 * 280 = 2240. B = 12 * 280 = 3360. C = 15 * 280 = 4200.

Multiple choice

If we divide Rs. 1870 into three parts in the ratio 2 : x : y, then 2, x, y are in harmonic progression and x, y add up to 9. What amount will add up to x and y?

  1. Rs. 1340

  2. Rs. 1470

  3. Rs. 1530

  4. Rs. 1620
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio 2 : x : y. Harmonic progression means 1/2, 1/x, 1/y are in AP. So 2/x = 1/2 + 1/y. Given x + y = 9, y = 9 - x. Substitute: 2/x = (y+2)/2y = (11-x)/(18-2x). Solving gives x=6, y=3. The parts are 2k, 6k, 3k. Total = 11k = 1870, k = 170. x+y = 9k = 9 * 170 = 1530.

Multiple choice

A group of people have to go from Kolkata to New Delhi. One - third of them went via Bus one – half of them went via flight and rest of them traveled by train, What is the ratio of the people who traveled by train to the ratio of the people traveled via flight?

  1. 1 : 3

  2. 3 : 1

  3. 1 : 2

  4. 2 : 1
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The fractions traveling by bus and flight are 1/3 and 1/2. The fraction traveling by train is 1 - 1/3 - 1/2 = 1/6, so the train-to-flight ratio is 1/6 : 1/2 = 1 : 3.