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 Cost Price (CP) per unit of products P and Q is in ratio 5 : 6 and the profit received on selling a unit, each of products P and Q is the same. What would be the Sale Price (SP) per unit (in Rs) of product P, if profit per unit of product P is 20% of SP per unit of product Q and equal to Rs. 3000?

  1. 13,000

  2. 13,500

  3. 13,200

  4. 13,800
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit per unit = 3000. Profit = 20% of SP(Q). 3000 = 0.2 * SP(Q) => SP(Q) = 15000. CP(P):CP(Q) = 5:6. Let CP(P)=5x, CP(Q)=6x. SP(Q) = CP(Q) + Profit = 6x + 3000 = 15000 => 6x = 12000 => x = 2000. CP(P) = 5 * 2000 = 10000. SP(P) = CP(P) + Profit = 10000 + 3000 = 13000.

Multiple choice

Rs. 4,06,736 is divided among A, B and C such that the ratio between A and B is 2 : 3 and B and C is 1 : 2. The share of C is:

  1. Rs. 73,952

  2. Rs. 1,10,928

  3. Rs. 2,64,796

  4. Rs. 2,21,856
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First, we combine the ratios to find A : B : C. Since A : B = 2 : 3 and B : C = 1 : 2 (which is equivalent to 3 : 6), the combined ratio is A : B : C = 2 : 3 : 6. The total number of parts is 2 + 3 + 6 = 11, so C's share is (6 / 11) * 406736 = Rs. 221856.

Multiple choice

If income of A, B and C is 3:5:7 and expenditure of A, B and C is 2:3:4. If C saved Rs. 6500 and saving of A is 500/9% of saving of B, then find out the ratio of saving of A, B and C?

  1. 5:8:13

  2. 6:9:13

  3. 5:9:13

  4. 5:9:18

  5. 3:9:13
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Income: 3k, 5k, 7k. Exp: 2m, 3m, 4m. Savings: A=3k-2m, B=5k-3m, C=7k-4m=6500. A's saving = (500/9)% of B's = (5/90) * B = 1/18 * B. So 18(3k-2m) = 5k-3m. 54k-36m = 5k-3m -> 49k = 33m. From C: 7k-4m=6500 -> m = (7k-6500)/4. 49k = 33(7k-6500)/4 -> 196k = 231k - 214500 -> 35k = 214500 -> k = 6128.57. This leads to savings ratio 5:9:13.