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

One year ago, the ratio of Mahesh's and Suresh's salary was 3:5. The ratio of there individual salary of last year and present year are 2:3 and 4:5 respectively. If the total salaries for there present year are Rs. 43000, what is the present salary of Mahesh?

  1. 19000

  2. 18000

  3. 17000

  4. 16000

  5. 15000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let last year salaries be 3x and 5x. Mahesh present salary = 3x * (3/2) = 4.5x. Suresh present salary = 5x * (5/4) = 6.25x. Total = 4.5x + 6.25x = 10.75x = 43000. x = 4000. Mahesh present salary = 4.5 * 4000 = 18000.

Multiple choice

The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7, respectively. If A and B save Rs. 16,000 and Rs. 26,000, respectively, then what is the difference (in Rs.) between their expenditures?

  1. 6,800

  2. 5,400

  3. 5,000

  4. 6,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Income A=3x, B=5x. Expenditure A=4y, B=7y. 3x-4y=16000, 5x-7y=26000. Multiply first by 5, second by 3: 15x-20y=80000, 15x-21y=78000. Subtract: y=2000. Expenditures are 4y=8000 and 7y=14000. Difference = 6000.

Multiple choice

A sum (in Rs.) is distributed between A, B and C in the ratio 9 : 6 : 11. If A gives Rs. 500 from his share to C, the ratio of shares of A, B and C becomes 4 : 3 : 6. What is the sum of shares (in Rs.) of B and C in the beginning?

  1. Rs. 8,500

  2. Rs. 9,100

  3. Rs. 7,800

  4. Rs. 7,500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial shares: 9x, 6x, 11x. After A gives 500: (9x-500)/6x/11x+500 = 4/3/6. Solving (9x-500)/6x = 4/3 gives 27x - 1500 = 24x, so 3x = 1500, x = 500. B+C = 6x + 11x = 17x = 17 * 500 = 8500.

Multiple choice

The monthly incomes of Amit and Bharat are in the ratio of 5 : 4, their monthly expenses are in the ratio of 19 : 21, and their monthly savings are in the ratio of 37 : 18. If the total annual savings of Amit and Bharat is Rs. 1,32,000, then Amit's monthly income is:

  1. Rs. 12,000

  2. Rs. 15,000

  3. Rs. 18,000

  4. Rs. 16,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 5x and 4x. Let expenses be 19y and 21y. Savings: 5x - 19y = 37k and 4x - 21y = 18k. Total savings 55k = 132000, so k = 2400. Solving the system for x gives 15000.

Multiple choice

The ratio of the price of a mobile and a speaker is5 : 2. The average price of two mobiles and a speakeris Rs. 20000. The total sum of the price of a mobileand a speaker is -

  1. Rs. 25000

  2. Rs. 35000

  3. Rs. 30000

  4. Rs. 45000

  5. Rs. 40000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let mobile price = 5x and speaker price = 2x. Average of 2 mobiles and 1 speaker = (5x + 5x + 2x) / 3 = 20000. 12x / 3 = 20000, so 4x = 20000, x = 5000. Sum of one mobile and one speaker = 5x + 2x = 7x = 7 * 5000 = 35000.

Multiple choice

An amount of Rs.840 was divided between Munna, Bablu and Guddu. If each one of them had received Rs.20 less, their shares would have been in the ratio of 2:3:5 respectively. The money received by Bablu was?

  1. 214

  2. 224

  3. 234

  4. 254
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the shares be M, B, G. M+B+G = 840. If each received 20 less, the total reduction is 60, so the new total is 780. The ratio 2:3:5 sums to 10 parts. Each part is 78. Bablu's share in the new ratio is 3 * 78 = 234. Adding back the 20 gives 254.