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 A, B and C are in the ratio 3 : 4 : 5, while their savings are in the ratio 1 : 2 : 3. If the savings of A are Rs. 600 per month, which is equivalent to 10% of his income, then how much does C spend per month?

  1. Rs. 6,600

  2. Rs. 8,200

  3. Rs. 9,000

  4. Rs. 7,500

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

A's income: 600 is 10%, so income = 6000. Ratio 3:4:5 means A=6000, B=8000, C=10000. Savings ratio 1:2:3. A's savings = 600, so B=1200, C=1800. C's spend = Income - Savings = 10000 - 1800 = 8200.

Multiple choice

The ratio of income of Aman to income of Raman is 4 : 3. Their expenditures are in the ratio 3 : 1. If their respective savings are Rs. 16,000 and Rs. 25,000, what is the income of Aman?

  1. Rs. 35,400

  2. Rs. 47,200

  3. Rs. 11,800

  4. Rs. 45,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 4k and 3k. Savings = Income - Expenditure. Expenditure = Income - Savings. Ratio of expenditures: (4k - 16000) / (3k - 25000) = 3/1. 4k - 16000 = 9k - 75000. 5k = 59000. k = 11800. Aman's income = 4k = 47200.

Multiple choice

The ratio of the incomes of two persons is 9 : 7 and the respective ratio of their expenditures is 4 : 3. Each of them saves Rs. 2000 per month. Find their incomes.

  1. Rs. 14,000 and Rs. 18,000

  2. Rs. 16,000 and Rs. 18,000

  3. Rs. 18,000 and Rs. 14,000

  4. Rs. 10,000 and Rs. 16,000

  5. Rs. 18,000 and Rs. 16,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let incomes be 9x and 7x, and expenditures be 4y and 3y. We have 9x - 4y = 2000 and 7x - 3y = 2000. Solving this system: 27x - 12y = 6000 and 28x - 12y = 8000. Subtracting gives x = 2000. The incomes are 9(2000) = 18000 and 7(2000) = 14000.