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 bus fare between two cities is increased in the ratio 5 : 7. What is the increase in the fare, if the original fare is Rs. 625?

  1. Rs. 875

  2. Rs. 175

  3. Rs. 350

  4. Rs. 250
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The original fare corresponds to 5 parts of the ratio, which is given as Rs. 625, meaning each part is worth Rs. 125. The increase in fare is the difference between the new ratio and the old ratio, which is 2 parts (7 minus 5). Multiplying 2 parts by Rs. 125 gives an increase of Rs. 250.

Multiple choice

The ratio of monthly income of A to that of B is 3 : 2 and their expenditures are in the respective ratio of 5 : 3. Each saves Rs. 1000 a month. Find the incomes of A and B.

  1. A - Rs. 6000, B - Rs. 4000

  2. A - Rs. 1500, B - Rs. 1000

  3. A - Rs. 3000, B - Rs. 2000

  4. A - Rs. 9000, B - Rs. 6000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let incomes be 3x and 2x, and expenditures be 5y and 3y. 3x - 5y = 1000 and 2x - 3y = 1000. Multiplying the first by 2 and second by 3: 6x - 10y = 2000 and 6x - 9y = 3000. Subtracting gives y = 1000. Then 3x - 5000 = 1000 => 3x = 6000 => x = 2000. Incomes are 3(2000) = 6000 and 2(2000) = 4000.

Multiple choice

Ram went to the market to buy chargers, memory cards and mobile phones. He paid a total bill of Rs. 23,800. He spent 80% more money on mobile phones than the total money he spent on memory cards and chargers. If he spent the amounts on chargers and memory cards in the ratio of 14 : 20, then find what percent more money did he spend on mobile phones than he did on chargers.

  1. 248.13%

  2. 337.14%

  3. 373.18%

  4. 339.8%

  5. 341.17%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let chargers = 14k and memory cards = 20k. Total = 34k. Mobile phones = 1.8 * 34k = 61.2k. Percent more on mobile phones than chargers = ((61.2k - 14k) / 14k) * 100 = (47.2 / 14) * 100 = 337.14%.

Multiple choice

The cost of a precious stone varies directly as the cube of its weight. This stone is broken into three pieces with their weights in the ratio 2 : 3 : 5. If the loss in total value of the diamond was Rs. 94,080, what was the price of the original diamond?

  1. Rs. 1,12,000

  2. Rs. 17,920

  3. Rs. 11,200

  4. Rs. 1,12,500

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

Let weight be W. Value V = kW^3. Original value = k(2+3+5)^3 = 1000k. New value = k(2^3 + 3^3 + 5^3) = k(8 + 27 + 125) = 160k. Loss = 1000k - 160k = 840k. Given 840k = 94080, k = 112. Original price = 1000 * 112 = 112,000.

Multiple choice

Directions: The following question is accompanied by statements A, B and C. You have to determine which statement(s) is/are sufficient to answer the question. The salary of A is y% more than the salary of B. What is the value of y? A. Total salary of A and B is Rs. 65,000. B. The ratio of salary of B to saving of A is 10 : 1. C. A saves 10% of his salary.

  1. Only A is sufficient.

  2. Only A and C together are sufficient.

  3. Only A and B together are sufficient.

  4. Only B and C together are sufficient.

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

Salary A = Salary B * (1 + y/100). We need y. Statement B: Salary B / Saving A = 10. Statement C: Saving A = 0.1 * Salary A. Combining B and C: Salary B / (0.1 * Salary A) = 10, so Salary B = Salary A. This implies y = 0. Statement A is not needed.

Multiple choice

A sum of Rs. 15,525 is divided among Sunil, Anil and Jamil such that if Rs. 22, Rs. 35 and Rs. 48 be diminished from their shares respectively, their remaining sums shall be in the ratio of 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77 and Rs. 37 respectively were added to their original shares?

  1. 9 : 13 : 17

  2. 18 : 26 : 35

  3. 36 : 52 : 67

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

Let the shares be x, y, z. After subtracting the amounts, the remaining sums are 7k, 10k, 13k. Total sum is 15525 - (22 + 35 + 48) = 15420. 30k = 15420, so k = 514. Original shares are 3598+22=3620, 5140+35=5175, 6682+48=6730. Adding the new amounts: 3636, 5252, 6767. Dividing by 101 gives 36:52:67.

Multiple choice

A's income is Rs. 140 more than B's income and C's income is Rs. 80 more than D's. If the ratio of A's and C's incomes is 2 : 3 and the ratio of B's and D's incomes is 1 : 2, then the incomes of A, B, C and D respectively are

  1. Rs. 260, Rs. 120, Rs. 320 and Rs. 240

  2. Rs. 300, Rs. 160, Rs. 600 and Rs. 520

  3. Rs. 400, Rs. 260, Rs. 600 and Rs. 520

  4. Rs. 320, Rs. 180, Rs. 480 and Rs. 360
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A = B + 140 and C = D + 80. Given A/C = 2/3 and B/D = 1/2 (so D = 2B). Substituting into the A/C ratio: (B + 140) / (2B + 80) = 2/3. Solving for B: 3B + 420 = 4B + 160, so B = 260. Then A = 400, D = 520, and C = 600.