1. Akash scored 73 marks in subject A. He scored 56% marks in subject B and 'X' marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C ?
SHOW ANSWER
Correct Ans:86
Explanation:
Given, Maximum marks of each subject = 150
No. of subjects = 3
=> Total maximum marks of 3 subjects = 3 * 150 = 450
Given, Akash scored
in Subject A = 73 marks (out of 150)
in Subject B = 56 % of 150
= (56 / 100) * 150
= 84 marks (out of 150)
and in Subject C = X marks (out of 150)
Given, Overall percentage of marks scored by Akash = 54%
=> {Marks scored by Akash in (Subject A + Subject B + Subject C) / Total maximum marks of 3 subjects} * 100% = 54%
=> {(73 + 84 + X) / 450} * 100 = 54
=> (73 + 84 + X) = 54 / 100 * 450
=> (157 + X) = 243
=> X = 243 - 157
=> X = 86
Thus, Marks scored by Akash in Subject C = 86 marks.
2. In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering student. 20% of the male engineering students and 25% of the female engineering students passed the final exam.
What percentage of engineering students passed the exam?
SHOW ANSWER
Correct Ans:22%
Explanation:
Given,
Total No. of male students in the class = 120
Percentage Male engineering student = 25 %
=> No. of Male engineering student = 25 % of 120
= (25 / 100) * 120
= 30
Percentage of male engineering students who passed the final exam = 20%
=> No. of Male engineering student who passed the final exam = 20% of No.of male engineering students
= (20 / 100) * 30
= 6
Given,
Total No. of female students in the class = 100
Percentage female engineering student = 20 %
=> No. of female engineering student = 20 % of 100
= (20 / 100) * 100
= 20
Percentage of female engineering students who passed the final exam = 25%
=> No of female engineering student who passed the final exam = 25% of No.of female engineering students
= (25 / 100) * 20
= 5
Required Percentage = {No. of (Male + female) engineering student who passed the final exam} / Total No. of (Male + female) engineering student * 100%
= { (6 + 5) / (30 + 20)} *
= {11 / 50} * 100% = 22 %
3. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
SHOW ANSWER
Correct Ans:250
Explanation:
Let, the sum paid to Tailor X per week be Rs. X
and the sum paid to Tailor Y per week be Rs. Y
Given, Two tailors X and Y are paid a total of Rs. 550 per week
=> X + Y = 550 ---> eqn (1)
Given, X is paid 120 percent of the sum paid to Y
=> X = 120 % of Y
=> X = (120 / 100) * Y
=> X = (6 / 5) * Y
On substituting this value for X in eqn (1), we get
=> (6 / 5) * Y + Y = 550
=> (6Y + 5Y) / 5 = 550
=> 11Y = 550 * 5
=> 11Y = 2750
=> Y = 2750 / 11
=> Y = 250 Rs.
Thus, the sum paid to Tailor Y per week be Rs. 250
4. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ( 2 / 3) of the number of students of 8 years of age which is 48. What is the total number of students in the school?
SHOW ANSWER
Correct Ans:100
Explanation:
Let the Total number of students in the school be X
So, Total students (X) = (No. of students below 8 years of age) + (No. of students of 8 years of age) + (No. of students above 8 years of age) ----> eqn (1)
Given, Students below 8 years of age = 20%
=> No. of Students below 8 years of age = 20% of X
= (20/100) * X
= (1/5) * X
= X/5
Given No. of Students of 8 years of age = 48
No. of Students above 8 years of age = (2/3) * 48
= 32
Substituting required values in eqn (1), we get
X = (X/5) + 48 + 32
=> X - (X/5) = 48 + 32
=> (5X - X) / 5 = 80
=> 4X / 5 = 80
=> X = (80 * 5) / 4
=> X = 100
Therefore, the total number of students in the school = 100
5. Solve the given expression :
18.5 % of 200 + 50.5 / 100 of 1400 + 20 % of 500
SHOW ANSWER
Correct Ans:844
Explanation:
Given
To find out the value of the expression.
=> (18.5 / 100) * (200) + (50.5 / 100) * 1400 + (20 / 100 * 500)
=> ( 37) + (707) + ( 100)
=> 844
The value of the expression is 844.
6. An article worth Rs. 1200 is given two successive discounts of 10 % and 10 % respectively. What is the percentage of discount which is equivalent to give as single discount?
SHOW ANSWER
Correct Ans:19 %
Explanation:
Given,two successive discount of 10 %.
Let, x = First discount = 10%, y = seconddiscount = 10%
Total Discount % = (x + y - [xy/100])%
= (10 + 10 - [10x10/100])%
= (20 - [100/100])%
= (20 - 1)%
=19%
Total Discount % which is equivalent for two successive discount of 10 % = 19%
7. What is 11.5% of 4000?
SHOW ANSWER
Correct Ans:460
Explanation:
11.5% of 4000 = (11.5/100 ) x 4000 = 460
8. What is 15.25% of 3500?
SHOW ANSWER
Correct Ans:533.75
Explanation:
15.25% of 3500 = (15.25/100 ) x 3500 = 533.75
9. What is 14.5% of 3500?
SHOW ANSWER
Correct Ans:507.5
Explanation:
14.5% of 3500
= (14.5/100 ) x 3500
= 507.5.
10. What is 13.75% of 3500?
SHOW ANSWER
Correct Ans:481.25
Explanation:
13.75% of 3500 = (13.75/100 ) x 3500 = 481.25
SHOW ANSWER
Correct Ans:455
Explanation:
13% of 3500 = (13/100 ) x 3500 = 455
12. What is 12.25% of 3500?
SHOW ANSWER
Correct Ans:428.75
Explanation:
12.25% of 3500 = (12.25/100 ) x 3500 = 428.75
13. What is 11.5% of 3500?
SHOW ANSWER
Correct Ans:402.5
Explanation:
11.5% of 3500 = (11.5/100 ) x 3500 = 402.5
14. What is 15.25% of 3000?
SHOW ANSWER
Correct Ans:457.5
Explanation:
15.25% of 3000 = (15.25/100 ) x 3000 = 457.5
15. What is 14.5% of 3000?
SHOW ANSWER
Correct Ans:435
Explanation:
14.5% of 3000 = (14.5/100 ) x 3000 = 435
16. What is 13.75% of 3000?
SHOW ANSWER
Correct Ans:412.5
Explanation:
13.75% of 3000 = (13.75/100 ) x 3000 = 412.5
SHOW ANSWER
Correct Ans:390
Explanation:
13% of 3000 = (13/100 ) x 3000 = 390
18. What is 12.25% of 3000?
SHOW ANSWER
Correct Ans:367.5
Explanation:
12.25% of 3000
= (12.25/100 ) x 3000
= 0.1225 x 3000
= 367.5
19. What is 11.5% of 3000?
SHOW ANSWER
Correct Ans:345
Explanation:
11.5% of 3000 = (11.5/100 ) x 3000 = 345
20. What is 15.25% of 2500?
SHOW ANSWER
Correct Ans:381.25
Explanation:
15.25% of 2500 = (15.25/100 ) x 2500 = 381.25
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