Ratio and Proportion Problems and Solutions for SSC and Bank Exams

Ratio and Proportion Problems and Solutions for Competitive Exams

Q.6. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7: 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in  C will be :

Solution: 

Q.7. Which of the following ratios is greatest?

(A) 5: 7

(B) 15: 23

(C) 17: 25

(D) 21: 29

Solution: 

  Clearly, 0.724 is greatest and therefore, 21 : 29 is greatest.

Q.8. A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was :

Solution: 

If B’s share is Rs. 3, total amount = Rs. 7.

Of B’s share is Rs. 4800,  

Q.9. A sum of Rs. 53 is divided among A, B, C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is :

Solution:

Suppose C gets Rs. x. Then, B gets Rs.(x+8) and A gets Rs.(x+15).

Then, x+(x+8) +(x+15) = 53 ↔ x=10.

∴ A : B : C = (10+15): (10+8):10=25:18:10.

Q.10. What is the ratio whose terms differ by 40 and the measure of which is ?

Solution:

Let the ratio be x : (x+40). Then,

∴ Required ratio = 16 : 56

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