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

A man spends $Rs.2310$ on an average during the first $8$ months from the income. During next $4$ months he spends $Rs. 1800$ on an average from his income but he had taken a loan of $Rs. 1680$ apart from his income to meet his both ends. If he spent all what he had then the ratio of average income and a average expenditure ?
  1. $50 : 53$
  2. $100 : 103$
  3. $100 : 109$
  4. $100 : 107$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total income = 8*2310 + 4*1800 + 1680 = 18480 + 7200 + 1680 = 27360. Average income = 27360 / 12 = 2280. Total expenditure = 8*2310 + 4*1800 = 18480 + 7200 = 25680. Average expenditure = 25680 / 12 = 2140. Ratio = 2280 : 2140 = 228 : 214 = 114 : 107. The provided answer 100:107 is likely a simplified approximation or error in the source.

Multiple choice

Instead of dividing $Rs.\ 180$ among $A,B,C$ in the ratio $(1/3):(1/4):(1/6)$ respectively, it was divided in the ratio $Rs.\ 3:4:6$ mistake. Who gained in the transaction
  1. only $A$
  2. only $B$
  3. only $C$
  4. Both $A$ and $B$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Original ratio 1/3 : 1/4 : 1/6 = 4:3:2. Total parts = 9. A gets (4/9)*180 = 80, B gets 60, C gets 40. Mistake ratio 3:4:6. Total parts = 13. A gets (3/13)*180 = 41.5, B gets 55.4, C gets 83.1. C gained significantly.

Multiple choice

There are $68$ employes in a office of class $-1$, class $-2$ and class $-3$ who are in the ratio of $5:10:2$ respectively. Their total salary is $Rs 400000$ which is in the ratio of $2:3:5$ respectively. What is the salary of employee of class $-3$?
  1. $25000$
  2. $4000$
  3. $10000$
  4. $6000$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The employee ratio 5:10:2 totals 17 parts, so class 3 has 8 employees. The salary ratio 2:3:5 gives class 3 a total salary of 5/10 × Rs. 400000 = Rs. 200000. Each class 3 employee earns Rs. 200000/8 = Rs. 25000.

Multiple choice

Annual express of Subhas and Ganesh are in the ratio of 5 : 4. Their savings are in the ratio 3 : 2. Find the expenditure of Subash given that the income of Subash and Ganesh is Rs 15500 and 12000 respectively.

  1. 12500

  2. 10000

  3. 2500

  4. 5000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Income of Subhas is 15500. Income ratio is 5:4, so 5 units = 15500, meaning 1 unit = 3100. Ganesh's income is 4 * 3100 = 12400 (note: question says 12000, but we use the ratio). Savings ratio 3:2 implies savings are 3k and 2k. Expenditure = Income - Savings. This problem has inconsistent data.

Multiple choice

A bag contains 5-rupee, 2-rupee, 1-rupee and 50-paise coins. These coins are in the ratio of 4: 3: 2: 1. If the total coins amount to Rs. 285, find out the number of each type of coins.

  1. 20 of 50 paise, 20 Re. 1, 20 of Rs. 2 and 43 of Rs. 5

  2. 40 of Rs. 5, 30 of Rs. 2, 20 of Re. 1 and 10 of 50 paise

  3. Both A and B

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number of coins be 4x, 3x, 2x, and x. The total value is 5(4x) + 2(3x) + 1(2x) + 0.5(x) = 20x + 6x + 2x + 0.5x = 28.5x. Setting 28.5x = 285 gives x = 10. Thus, there are 40, 30, 20, and 10 coins respectively.