# Percentage Questions For SSC MTS

Download Top-20 SSC MTS Percentage Questions PDF. Percentage questions based on asked questions in previous year exam papers very important for the SSC MTS exam.

Download Percentage Questions For SSC MTS

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**Instructions**

**Question 1: **A number is increased by 10% and then decreased by 10% then by what percent should the value be increased to get the original value ?

a) 0 %

b) 100/99 %

c) 1%

d) 99/100 %

**Question 2: **A 20 litre mixture contains 60% of alcohol and 4 litres of alcohol is added to it then what is the water percentage in the mixture ?l

a) 33.33%

b) 20%

c) 40%

d) 25%

**Question 3: **A number is increased by 20% and then decreased by 30%. What is the percentage change in the value ?

a) 16%

b) 24%

c) 20%

d) 28%

**Question 4: **A batsman scored 168 runs which included 3 boundaries and 5 sixes. How much percentage of his total score did he make by running between the wickets?

a) 60%

b) 75%

c) 80%

d) 50%

**Question 5: **In a school, Class A has 30% boys, Class B has 40% girls. Then, the number of girls in Class A is what percentage of the number of boys in Class B?

a) 2.5%

b) 4%

c) 15%

d) Can’t be determined

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**Question 6: **The price of sugar is increased by 40%. By how much percent should there be reduction in consumption so that the expenditure remains the same?

a) 28.5%

b) 32.5%

c) 42%

d) 40%

**Question 7: **Find the percentage change in area of a rectangle if the length of the rectangle is reduced by 20% and breadth of the rectangle is increased by 10%.

a) 28% increase

b) 88% decrease

c) 12% increase

d) 18% decrease

**Question 8: **If a shopkeeper gives three successive discounts of 20% each, then what is the effective discount percentage?

a) 48.8%

b) 62.5%

c) 37.8%

d) 69.8%

**Question 9: **The price of rice has increased by 50%. By how much percent should there be reduction in consumption so that the expenditure remains the same?

a) 33.33%

b) 50%

c) 66.67%

d) 63.33%

**Question 10: **The price of sugar has increased by 25%. By how much percent should there be a reduction in consumption so that the expenditure remains the same?

a) 25%

b) 20%

c) 33.33%

d) 40%

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**Question 11: **Amit scored 20% marks and failed by 15 marks. Rohit scored 40% marks and obtained 25 marks more than those required to pass. Then find the pass percentage.

a) 35%

b) 37.5%

c) 27.5%

d) 24.75%

**Question 12: **If a% of b=20 and b% of c=30 then how much percent is c greater than a ?

a) 50%

b) 150%

c) 75%

d) 66.66%

**Instructions**

The given pie chart shows the marks obtained (in degrees) by a student in different subjects. The total marks obtained by the student in the examination is 432.

**Question 13: **If the maximum marks per subject is 100, then what is the total marks (in percentage) obtained in English and Hindi together?

a) 168

b) 68

c) 76

d) 84

**Question 14: **The marks obtained in science is what percentage of the total marks?

a) 20.14

b) 18.12

c) 17.16

d) 19.44

**Instructions**

The table give below shows the marks obtained by six students in 5 different subjects.

**Question 15: **What is the aggregate percentage of marks obtained by student C in all the five subjects?

a) 71

b) 75

c) 76

d) 73

**Instructions**

The line chart given below represents the sales (in 00) of trousers and shirts for five months.

**Question 16: **What is the percentage increase in the sales of the trousers from January to February?

a) 25

b) 20

c) 10

d) 28

**Question 17: **An article having marked price Rs 1800 is sold for Rs 1476. What is the discount percentage?

a) 14

b) 15

c) 16

d) 18

**Instructions**

The following pie chart shows the expenditure (in percentage) of five companies P, Q, R, S and T in the year 2016. Total Expenditure = 48 crores.

**Question 18: **Total amount spent by company S is what percent of total amount spent by company T and R?

a) 42.1

b) 43

c) 39.68

d) 41

**Question 19: **By how much percent expenditure of company Q and R together greater than that of company P?

a) 33.33

b) 60

c) 66.67

d) 75

**Question 20: **What was the total expenditure (in Rs crores) of the company Q, R and T together?

a) 19.2

b) 28.8

c) 24.3

d) 31.4

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**Answers & Solutions:**

**1) Answer (B)**

let the value be x

Increased by 10% it becomes 1.1x

Decreased by 10% it becomes 1.1x*0.9

=0.99x

Percentage to be increased to get the original value=(0.01x/0/0.99x)*100

=100/99 %

**2) Answer (A)**

In a 20 litre mixture alcohol percent =60%

Therefore 20*60/100=12 litres

Water =20-12=8 litres

Total alcohol=12+4=16 litres

Water percentage=(8/24)*100

=33.33%

**3) Answer (A)**

let the number be x

As it is increased by 20% we have x*1.2=1.2x

And again decreased by 30% and so 1.2x*0.7=0.84x

Percentage change in the value ((x-0.84x)/x)*100=16%

**4) Answer (B)**

Score he made using boundaries and sixes = 4*3+5*6 = 12+30 = 42 runs

Total score = 168 runs

Score made by running between the wickets = 168-42 = 126 runs

Therefore, Required percentage = $\dfrac{126}{168} \times 100 = 75$%

**5) Answer (D)**

Let the total number of students in Class A be A.

Then, Boys in Class A = 30% of A = 0.3A

Then, Girls in Class A = A – 0.3A = 0.7A

Let the total number of students in Class B be B.

Then, Girls in Class B = 40% of B = 0.4B

Then, Boys in Class B = B – 0.4B = 0.6B

Therefore, Required percentage = $\dfrac{0.7A}{0.6B} \times 100$

Since, the total number of students in Class A and Class B is unknown, the required percentage can’t be determined.

**6) Answer (A)**

Let the initial price of sugar be Rs.100

Let the initial consumption be 100 kg.

Then Initial expenditure $= 100\times100$

New price = 140% of Rs.100 = Rs140

Let the final consumption be Rs.x

Initial expenditure = Final expenditure

$100\times100 = 140\times x$

⇒ x = 71.42 kg

Percentage Reduction in consumption = $\dfrac{100-71.42}{100}\times 100 = 28.58$%

**7) Answer (C)**

Effective change in percentage $= l+b+\dfrac{l \times b}{100} = -20+10+\dfrac{(-20)\times (10)}{100} = -10-2 = -12$%

Negative indicates decrease in percentage. Hence, the area decreases by 12%

**8) Answer (A)**

Let the Marked price be Rs.1000

Selling price after three successive discounts = $1000 \times \dfrac{80}{100}\times \dfrac{80}{100}\times \dfrac{80}{100} = Rs.512$

Effective discount = $\dfrac{1000-512}{1000} \times 100 = 48.8$%

**9) Answer (C)**

Let the initial price be Rs.100

Let the initial consumption be 100 kg

Price increased by 50%

Final price = 150% of Rs.100 = Rs.150

Let final consumption be x kg

Initial expenditure = Final expenditure

⇒ $100\times100 = 150\times x$

⇒ $x = \dfrac{200}{3} = 66.67$

Final consumption $= 66.67$ kg

Percentage Reduction in consumption $= \dfrac{100-66.67}{100}\times 100 = 33.33$%

**10) Answer (B)**

Let the initial price be Rs.100

Let the initial consumption be 100 kg

Price increased by 25%

Final price = 125% of Rs.100 = Rs.125

Let final consumption be x kg

Initial expenditure = Final expenditure

⇒ $100\times100 = 125\times x$

⇒ $x = 80$

Final consumption $= 80$ kg

Percentage Reduction in consumption $= \dfrac{100-80}{100}\times 100 = 20$%

**11) Answer (C)**

Let the maximum marks be ‘x’

Then, Pass marks = 20% of x + 15 = 40% of x – 25

⇒ 0.2x+15 = 0.4x-25

⇒ 0.2x = 40

⇒ x = 200

Hence, Maximum marks = 200

Pass marks = 20% of 200+15 = 40+15 = 55

Pass percentage $= \dfrac{55}{200}\times 100 = 27.5$%

**12) Answer (A)**

Given ab=2000

bc=3000

Then $\frac{ab}{bc}$=$\frac{2000}{3000}$

$\frac{a}{c}$=$\frac{2}{3}$

c=$\frac{3}{2}$ $\times a$

Required percentage =$\frac{(\frac{3}{2}) a -a}{a}$ $\times 100$

=50%

**13) Answer (D)**

Total marks in the examination = 432

Marks (in degree) obtained in English and Hindi together = $75+65=140^\circ$

Marks obtained in English and Hindi together = $\frac{140^\circ}{360^\circ}\times432=168$

$\therefore$ Total marks (in percentage) obtained in English and Hindi together = $\frac{168}{200}\times100=84\%$

=> Ans – (D)

**14) Answer (D)**

Marks (in degrees) obtained in Science = $70^\circ$

Total marks (in degrees) = $360^\circ$

=> Required % = $\frac{70}{360}\times100$

= $\frac{700}{36}=19.44\%$

=> Ans – (D)

**15) Answer (D)**

Total marks obtained by student C

= 68 + 79 + 55 + 91 + 72 = 365

=> Average marks = $\frac{365}{5}=73$

=> Ans – (D)

**16) Answer (A)**

Sale of trousers in January (in ’00) = 40

Sale of trousers in February (in ’00) = 50

=> Required % increase = $\frac{(50-40)}{40}\times100$

= $\frac{1000}{40}=25\%$

=> Ans – (A)

**17) Answer (D)**

Marked price of article = Rs. 1800

Selling price = Rs. 1476

=> Discount % = $\frac{(1800-1476)}{1800}\times100$

= $\frac{324}{18}=18\%$

=> Ans – (D)

**18) Answer (A)**

% amount spent by company S = 16%

% amount spent by company T and R = (20+18) = 38%

=> Required percent spent by company S = $\frac{16}{38}\times100$

= $\frac{800}{19}=42.1\%$

=> Ans – (A)

**19) Answer (C)**

% amount spent by company P = 24%

% amount spent by company Q and R = (22+18) = 40%

=> Required percent = $\frac{(40-24)}{24}\times100$

= $\frac{2}{3}\times100=66.67\%$

=> Ans – (C)

**20) Answer (B)**

Total expenditure (in Rs crores) = 48

% expenditure of the company Q, R and T together = (22+18+20) = 60%

=> Total expenditure (in Rs crores) of the company Q, R and T together = $\frac{60}{100}\times48$

= $\frac{144}{5}=28.8$

=> Ans – (B)