Top 20 Ratio and Proportion Problems

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    The monthly income of A and B are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 9. If each of them saves Rs. 600 per month, then their monthly incomes are

1. A. Rs. 1600, Rs. 2400       Correct Answer

2. B. Rs. 1650, Rs. 2200      

3. C. Rs. 1800, Rs. 2600      

4. D. Rs. 1950, Rs. 2750      

2.  

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   Two numbers are in the ratio 1½ : 5(2/3). When each one of these is increased by 15, their ratio become 1(2/3) : 2½ . The smaller of the number is

1. A. 21     

2. B. 24      

3. C. 25      

4. D. 27        Correct Answer

3.  

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   The ratio of earnings of A and B is 8 : 9. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings is 16 : 9. What are A's earnings ?

1. A. Rs. 1800     

2. B. Rs. 2600      

3. C. Rs. 3300      

4. D. Not sufficient data        Correct Answer

4.  

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   Vessels A and B contains mixtures of milk and water in the ratio 4:5 and 5:1 respectively. In what ratio should quantities of mixtures be taken from A to B to form a mixture in which milk to water is in the ratio 5 : 4 ?

1. A. 1 : 2     

2. B. 3 : 4      

3. C. 3 : 5      

4. D. 5 : 2        Correct Answer

5.  

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   The ratio of incomes of A and B is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are

1. A. Rs. 5000, Rs. 3900     

2. B. Rs. 6000, Rs. 4200      

3. C. Rs. 8000, Rs. 4800        Correct Answer

4. D. Rs. 9000, Rs. 5100      

6.  

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   If 20% of (P + Q) = 50% of (P - Q), then P:Q = ?

1. A. 3 : 2     

2. B. 5 : 4      

3. C. 7 : 2      

4. D. 7 : 3        Correct Answer

7.  

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   In a school, the ratio of boys and girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school ?

1. A. 900     

2. B. 1000      

3. C. 1200        Correct Answer

4. D. 1500      

8.  

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   Two vessels A and B contain milk and water mixed in the ratio 5 : 3 and 2 :3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must taken in the ratio

1. A. 1 : 3     

2. B. 3 : 5      

3. C. 4 : 5        Correct Answer

4. D. 5 : 7      

9.  

    

   The ratio of the ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student ?

1. A. 11 years     

2. B. 12 years      

3. C. 15 years        Correct Answer

4. D. 19 years      

10.  

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    In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio is to be 1 : 2, the quantity of water to be further added is

1. A. 30 liters     

2. B. 40 liters      

3. C. 50 liters      

4. D. 60 liters        Correct Answer

11.  

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    If 32 students in a class are females and the ratio of female to male students is 16 : 9, then what percentage of the class is female ?

1. A. 51 %     

2. B. 55 %      

3. C. 57 %      

4. D. 64 %        Correct Answer

12.  

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    Rs. 6400 are divided among three workers in the ratio 3/5 : 2 : 5/3. The share of the second worker is

1. A. Rs. 2000     

2. B. Rs. 2500      

3. C. Rs. 3000        Correct Answer

4. D. Rs. 3500