**Ratio and Proportion Questions for IBPS Clerk PDF:**

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**Question 1:Â **The ratio of the present age of Manisha and Deepali is 5 : X. Manisha is 9 years younger than Parineeta. Parineetaâ€™s age after 9 years will be 33 years. The difference between Deepaliâ€™s and Manishaâ€™s age is the same as the present age of Parineeta. What should come in place of X?

a)Â 23

b)Â 39

c)Â 15

d)Â Cannot be determined

e)Â None of these

**Question 2:Â **The average marks in English of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 in lieu of the actual marks 48, 59 and 67 respectively, then what would be the correct average?

a)Â 56.5

b)Â 59

c)Â 57.5

d)Â 58

e)Â None of these

**Question 3:Â **In an enterance examination, Ritu scored 56 percent marks, Smita scored 92 percent marks and Rina scored 634 marks. The maximum marks of the examination is 875. What is the average marks scored by all the three girls together?

a)Â 1929

b)Â 815

c)Â 690

d)Â 643

e)Â None of these

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**Question 4:Â **Rs.73,689 are divided between A and B in the ratio of 4 : 7. What is the difference between thrice the share of A and twice of the share of B?

a)Â Rs.36,699

b)Â Rs.46,893

c)Â Rs.20,097

d)Â Rs.26,796

e)Â Rs.13,398

**Question 5:Â **A mixture of 150 L of wine and water contains 20% water. How many litres of water must be added so that water may be 25% of the mixture?

a)Â 12 L

b)Â 8 L

c)Â 10 L

d)Â 6 L

e)Â None of these

**Question 6:Â **Present age of a father is 3 times the present age of his son. 4 years later fatherâ€™s age is 13 more than 2 times of his sonâ€™s age. What is present age of father?

a)Â 54

b)Â 53

c)Â 51

d)Â 63

e)Â 52

**Question 7:Â **52% students from a college participated in a survey. What is the respective ratio between the numbers of students who did not participate in the survey to the numbers of students who participated ?

a)Â 11:13

b)Â 12:13

c)Â 12:17

d)Â Cannot be determind

e)Â None of these

**Question 8:Â **28% members of a certain group are married. What is the respective ratio between the number of married members to the number of unmarried members ?

a)Â 7:17

b)Â 5:18

c)Â 7:18

d)Â Cannot be determined

e)Â None of these

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**Question 9:Â **If the numerator of a certain fraction increased by 200% and the denominator is increased by 150% the new fraction thus formed is $\frac{9}{10}$. What is the original fraction ?

a)Â $\frac{3}{4}$

b)Â $\frac{1}{4}$

c)Â $\frac{3}{5}$

d)Â $\frac{2}{5}$

e)Â None of these

**Question 10:Â **Yesterday Priti typed an essay of 5000 words at speed of 60 words per minute. Today she typed the same essay faster and her speed was 15% more than yesterday. What is the approximate difference in the time she took to type yesterday and the time she took to type today?

a)Â 20 minutes

b)Â 30 minutes

c)Â 10 minutes

d)Â 40 minutes

e)Â 1 hour

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**Question 11:Â **The age of the father is 30 years more than the sonâ€™s age.Ten years hence the fatherâ€™s age will become three times the sonâ€™s age that time.What is the sonâ€™s present age in years?

a)Â Eight

b)Â Seven

c)Â Five

d)Â Cannot be determined

e)Â None of these

**Question 12:Â **The product of one-third of a number and 150% of another number is what per cent of the product of the original numbers ?

a)Â 80%

b)Â 50%

c)Â 75%

d)Â 120%

e)Â None of these

**Question 13:Â **The respective ratio of A and B is 8:7. If the salary of B increases by 20% and the salary of A increases by 21% the new ratio becomes 96: 97 respectively. What is Aâ€™s salary?

a)Â 22560

b)Â 21600

c)Â 20640

d)Â 23040

e)Â Cannot be determined

**Question 14:Â **A, B, and C started a business by investing Rs.12800, Rs.16800 and Rs.9600 respectively. If after 8 months B received Rs.13125 as his share of profit, what amount did C get as his share of profit?

a)Â Rs.7800

b)Â Rs.7150

c)Â Rs.7750

d)Â Rs.8250

e)Â Rs.7500

**Question 15:Â **A certain number of capsules were purchased for Rs.216, 15 more capsules could have been purchased in same amount of each capsule was cheaper by Rs 10. What was the number of capsules purchased?

a)Â 6

b)Â 14

c)Â 8

d)Â 12

e)Â 9

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**Answers & Solutions:**

**1)Â AnswerÂ (E)**

Parineetaâ€™s present age = 33 – 9 = 24 yrs.

Manishaâ€™s present age = 24 – 9 = 15yrs

Difference between Manisha and Deepali’s prresent ages = Parineeta’s present age

Deepaliâ€™s present age = Parineeta’s present age + Manisha’s present age = 24 + 15 = 39 yrs.

Ratio of the present age of Manisha and Deepali = 15 : 39 = 5 : 13

x = 13

**2)Â AnswerÂ (E)**

Total marks = 24 x 56 = 1344

Sum of actual marks = 1344 – (44 + 45 + 61) + (48 + 59 + 67) = 1368

Actual Average = $\frac{1368}{24}$ = 57

**3)Â AnswerÂ (D)**

Ritu’s marks = 56% of 875 = $\frac{56}{100}$ = 490

Smita’s marks = 92% of 875 = $\frac{92}{100}$ = 805

Rina’s marks = 634

Total marks = 1929

Average = $\frac{490 + 805 + 634}{3}$ = $\frac{1929}{3}$ = 643

**4)Â AnswerÂ (E)**

Share of A = $\frac{4}{11}$ x 73689 = 26796

Thrice share of A = 80388

Share of B = $\frac{7}{11}$ x 73689 = 46893

Twice the share of B = 93786

Difference = 13398

**5)Â AnswerÂ (C)**

The mixture contains 20% water and 80% of wine.

By the rule of allegation, Ratio of wine : water = 75 : 5 = 15 : 1

For 15 L wine, 1 L water is to be added.

âˆ´ For 150 L wine,$\frac{(150*1)}{15}=10$ L to be added.

**6)Â AnswerÂ (C)**

letâ€™s say present age of son is x, hence fatherâ€™s age will be 3x

4 years later, (x+4)*2 +13 = 3x+4 ; x=17 and 3x=51

**7)Â AnswerÂ (B)**

Let x be the total number of students. 52% of the students participated i.e .52x students participated. 48% of the students did not participate i.e .48x students did not participate. Hence the ratio of students who did not participate to the students who participated is $\frac{.48x}{.52x}$ = $\frac{12}{13}$

**8)Â AnswerÂ (C)**

Let total number of members be T.The number of married number if percent is 28% = .28THence, percent of unmarried members = (100-28)%=72%And the number = .72TThe ratio of married to unmarried= .28/.72 = $\frac{7}{18}$

**9)Â AnswerÂ (A)**

Let numerator be x and denominator be y.If numerator is increased by 200% it becomes 3x and if numerator is increased by 150% it becomes 2.5yNow the new fraction is 9/10.Hence, (3x/2.5y)=(9/10) which gives $\frac{x}{y}$=$\frac{3}{4}$

**10)Â AnswerÂ (C)**

The time taken by her to type 5000 words essay at a speed of 60words/min = 5000/60=83.33

Now when the speef is increased by 15%, the new speed = 69 words/min|

Time taken by her to type 5000 words essay with this speed = 5000/69 = 72.46

Time difference ~ 10 minutes

**11)Â AnswerÂ (C)**

Let the son age be x and fathers age be y. The solution is obtained by solving two simultaneous equations as per given conditions, x=y+10 and x+10=3(y+10) Hence, y = 5

**12)Â AnswerÂ (B)**

Let the number be x and another number be y.Now, the product of number and another number = x*yAs per given condition, new product (x/3)*1.5y=0.5xyNow, per cent of the product of the original numbers= (0.5xy/xy)*100=50

**13)Â AnswerÂ (E)**

As we are not given any absolute figures, a unique value of A’s salary cannot be determined.

**14)Â AnswerÂ (E)**

Ratio of investments of B and C = 16800 : 9600 = 7 : 4=> Profits of B : C = 7 : 4=> C’s share = $\frac{4}{7}*13125$ = Rs 7500

**15)Â AnswerÂ (D)**

Number of capsules purchased = x$\frac{216}{x}$ = $\frac{216}{x+15}$ + 10x = 12 satisfies the equation.