Percentage - MCQ 2 - SSC CGL

Answer – 2.33 Explanation : Total students=60 Failed in both=5% of 60=3 Passed in both=20% of 60=12 Passed in reasoning=50% of 60=24 Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33

Answer – 1.44% Explanation : 40*1/100  : 60*2/100 : 35*3/100 = 0.4:1.2:1.05
Overall % =100* [0.4+1.2+1.05]/1+2+3 = 265/6 = 44.16 = 44%

Answer – 3.600 Explanation : passed in science = 50% passed in social = 75% 20% students failed in both the subjects and 80% passed in at least one subject No of students passed in both subjects = 50+75−x=80  x=45% 45% of x = 270  x = 270*100/45 = 600
Total number of students =600

Answer – 4.960kg Explanation : Quantity of water in 300 kg dry fruits, = (20 /100) *300 = 60 kg Quantity of fruit alone= 300-60 =240 kg 25 kg fruit piece in 100 kg fresh fruits For 240 = (100 *240)/25 = 960 kg.

Let the number of individuals involved in election be x.
Percentage of those who were not vote = 100- (35+42)

= 23%

The difference between those who voted,

42% of x – 23% of x = 570

19% of x = 570

x = 570*100/19

= 3000

Given:

Production of machine M1, M2 and M3 = 25%, 35% and 40%

Defective products by machine M1, M2 and M3 = 3%, 4% and 5%

Calculation:

Let the total production is 100 units

Production by machine M1 = 25% of 100

⇒ 25

Production by machine M2 = 35% of 100

⇒ 35

Production by machine M3 = 40% of 100

⇒ 40

Non- defective product by machine M1 = 97% of 25 

2⇒ 4.25      ---- (1)

Non defective product by machine M2 = 96% of 35

⇒ 33.6      ---- (2)

⇒ Non defective product by machine M3 = 95% of 40

38      ---- (3)

Adding 1, 2 and 3

24.25% + 33.6% + 38%

⇒ 95.85%

∴ The percentage of non -defective products is 95.85%.

Answer – 1.335 Explanation : Total students are 100% = 500 Boys = 65% of 500 = 325, Girls = 35% =35*500/100 =175 Girls failed in the exam= 175*80/100 = 140 Boys failed in the exam =40/100x 325 = 195 Total = 140+195 = 335

Answer – 2.16.64% Explanation : Total increase = 6+2 = 8% % increase = 8+8+(8*8/100)  = 16+0.64 = 16.64%

Answer – 2.Rs.15,000 Explanation : 7% increases 30000 = Rs 2100 =30000+2100 = Rs 32,100 But the actual increase in salary = 31800 Difference =32100 – 31800 = 300 2% = 300
Gugan’s salary =300/2 x 100 = 15000 Harish’s salary =30000 – 15000 = Rs 15000

A.8/15
Explanation: Assume Total no of students = 100 60% of the students are boys. so Boys=60,Girls=40 No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60 Therefore No. of boys who scored more than 40 marks = 60-32=28 No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32 Fraction=(scored less)/Total boys = 32/60 =8/15

B. 6200
Explanation: Let total number of voters= x People who voted for the winner are = 0.47x People who voted for the loser are = 0.47x-308 People who cast blanks are = 60 and people who did not vote are = 0.1x solve the following equation 0.47x+0.47x-308+60+0.1x=x => x=6200

B. 40%
Explanation: Assume Deepak’s salary =10000 original hike(50%) amount = 5000 ; Revised salary =15000 Wrongly typed(80%) hike amount = 8000 Diff = 3000; For three months = 9000 Fourth Month Salary = 15000-9000=6000 15000*x/100 = 6000 => x=40%

A. Rs.40 Explanation: Let the price of two articles are 3X and 4X.
After increment the ratio will be: 110% of 3x/(4X+4) = 3/4 x=10 Thus the CP of second article = 4X = 4*10 = Rs. 40.

D. 78%
Explanation: Consider Total no of students = 100 Ratio is 3:2 i.e Boys=60 and Girls=40 20% of boys who get scholarship = 60*20/100=12% 25% of girls who get scholarship = 40*25/100 =10% Therefore % of students who do not get scholarship =100-(12+10) = 78%

C. Rs.3136 Explanation: Total amount = x Savings(%) [100 – (23 + 33 + 19 + 16 )]% = 9 %
9% of x = 504 => x = 504 * 100/9 = 5600 Amount spend on food and insurance policy together = 56% of 5600 = Rs.3136

D. 20
Explanation: Assume Total amount = Rs.100 Auto fare= 15% of Total amount i.e Rs.15 Now the amount is Rs.85 Price of 70 oranges = Rs.85 Price of 35 oranges = (85/70)*35 = Rs. 42.50 Remaining amount to buy apples is =Rs. 42.50 Price of 40 apples = Rs.85 Price of X apples = Rs.42.50 X=(85/42.5)*40 = 20 Apples

D. Rs.1,26,000 Explanation: 4,50,000*( 80/100)*(90/100)= 324000
450000 – 126000 = Rs.1,26,000

C.8
Explanation: Assume – Arun’s motorcycle uses 1L per day and therefore tank’s Capacity = 10L. 25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day Days = 10/1.25 = 8

A. 854
Explanation: No of boys in a school last year = 610 No of boys in a school for this year 610*80/100=122
610-122=488
No of girls =175/100 * 488=854