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 ratio of selling price of article $A, B, C$ is $8 : 9 : 5$ and ratio of percentage profit is $8 : 7 : 14$ respectively. If the profit percentage of $A$ is $14.28\%$ and the cost price of $B$ is Rs. $400$. What is the overall percentage gain?
  1. $14.87\ %$
  2. $16.66\ %$
  3. $14.28 \%$
  4. $15.78 \%$

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

SP ratio A:B:C = 8:9:5. Profit % ratio A:B:C = 8:7:14. Profit % A = 14.28% = 1/7. Since 8 units = 1/7, 1 unit = 1/56. Profit % B = 7 * (1/56) = 1/8 = 12.5%. Profit % C = 14 * (1/56) = 1/4 = 25%. CP of B = 400. SP of B = 400 * 1.125 = 450. Since SP ratio is 8:9:5, 9 units = 450, 1 unit = 50. SP A = 400, SP C = 250. CP A = 400 / (8/7) = 350. CP C = 250 / 1.25 = 200. Total CP = 350+400+200 = 950. Total SP = 400+450+250 = 1100. Gain = 150/950 = 15.78%.

Multiple choice

The prices of two articles are in the ratio of $2 : 5$. If the price of the first article be increased by $25$% and that of the second by Rs $25$, ratio becomes $1/3$. The original price of second article is ?
  1. $30$
  2. $40$
  3. $50$
  4. $60$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the prices be 2x and 5x. Increasing the first by 25% gives 2x * 1.25 = 2.5x. The new ratio is 2.5x / (5x + 25) = 1/3. Cross-multiplying gives 7.5x = 5x + 25, so 2.5x = 25, which means x = 10. The original price of the second article is 5x = 50.

Multiple choice

A sum of money is divided among $C ,$ A and $B$ in ratio of $4 : 5 : 6$ and another sum of money is divided between M and N equally if B got 2000 more than M then how much C get?

  1. Rs. 1000

  2. Rs. 500

  3. Rs. 4000

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The problem provides the ratio for C, A, and B, but the second sum of money (for M and N) is independent and lacks a defined relationship to the first sum. Since the total amount of either sum is unknown, we cannot determine the specific value for C.

Multiple choice

A, B and C completed a piece of work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be recieved by A ?

  1. Rs. 800

  2. Rs. 600

  3. Rs. 900

  4. Rs. 750
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The wage shares are proportional to days worked multiplied by the daily wage ratio. For A, B, and C, these shares are 30, 24, and 36, totaling 90. A receives 1800 × 30/90 = Rs 600.

Multiple choice

Annual income of A and B is in the ratio of $4 : 3$ and this annual expenses bear a ratio of $3 : 2$. If each of them saves $Rs. 600$ at the end of the year, the annual income of A is
  1. $Rs. 1200$
  2. $Rs. 2400$
  3. $Rs. 1800$
  4. $Rs. 4800$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 4x and 3x, expenses be 3y and 2y. 4x - 3y = 600 and 3x - 2y = 600. Solving the system: 8x - 6y = 1200 and 9x - 6y = 1800. Subtracting gives x = 600. A's income = 4x = 2400.