Exercise 11.6
1. Ashu had 24 pages to write. By the evening, he had completed 25% of his work. How many pages were left?
Solution:
Total number of pages = 24
Number of pages completed = 25% of pages
= 6 pages
Therefore no of pages left = Total – Pages completed
= (24 – 6) pages
= 18 pages
2. A box contains 60 eggs. Out of which 16(2/3)% are rotten ones. How many eggs are rotten?
Solution:
Total number of eggs = 60
= 10 eggs
Therefore no eggs rotten = 10 eggs
3. Rohit obtained 45 marks out of 80. What per cent marks did he get?
Solution:
Total number of marks = 80
Rohit obtained = 45
Required = 45
= 56.25%
4. Mr. Virmani saves 12% of his salary. If he receives Rs 15900 per month as salary, find his monthly expenditure.
Solution:
Salary = Rs. 15900
Savings = 12% of salary
= Rs. 1908
Therefore Expenditure = Salary – Savings
= Rs. 159 – Rs. 1908
– Rs. 13992
5. A lawyer willed his 3 sons Rs 250000 to be divided into portions 30%, 45% and 25%. How much did each of them inherit?
Solution:
Total amount – Rs. 25000
Therefore
= 25 × 2500
Rs. 62500
Therefore portions of amount of are Rs. 75000, Rs.112500 and Rs. 62500
6. Rajdhani College has 2400 students, 40% of whom are girls. How many boys are there in the college?
Solution:
Total number of students = 2400
40% of 24
= 960 girls
Therefore no of boys = Total students – girls
= 2400 – 960
= 1440 boys
7. Aman obtained 410 marks out of 500 in CBSE XII examination while his brother Anish gets 536 marks out of 600 in IX class examination. Find whose performance is better?
Solution:
8. Rahim obtained 60 marks out of 75 in Mathematics. Find the percentage of marks obtained by Rahim in Mathematics.
Solution:
Total no of marks = 75
Rahim obtained = 60
= 80%
9. In an orchard, 16(2/3) % of the trees are apple trees. If the number of trees in the orchard is 240, 3 find the number of other type of trees in the orchard.
Solution:
Total number of trees = 240
= 16.66% of 240
= 40 trees
No of trees other than apple tree = Total trees – apples trees
= 240 – 40
= 40 tress
10. Ram scored 553 marks out of 700 and Gita scored 486 marks out of 600 in science. Whose performance is better?
Solution:
Ram obtained 553 out 700
Ram obtained 553 out of 700
∴ Gita percentage is better.
11. Out of an income of Rs 15000, Nazima spends Rs 10200. What per cent of her income does she save?
Solution:
Total income = Rs. 15000
Savings = Income – Expenditure
= Rs. 15009 – Rs 10200
= Rs. 4800
= 32%
12. 45% of the students in a school are boys. If the total number of students in the school is 880, find the number of girls in the school.
Solution:
Total number of student = 880
No of boys = 45% student
= 45% of 880
= 45×8.8
= 396 boys
No of girls = Total – boys
= 880 – 396
= 484 girls
∴ No of girls = 484 girls
13. Mr. Sidhana saves 28% of his income. If he saves As 840 per month, find his monthly income.
Solution:
28% of salary = Rs. 840
Let the salary of Mr. Sidhana be x28% ox = 840
= Rs. 3000
Therefore Mr. Sidhana salary Rs. 3000
14. In an examination, 8% of the students fail. What percentage of the students pass? If 1650 students appeared in the examination, how many passed?
Solution:
Total no of students = 1650
8% students failed
Passed students % = 100% – 8%
= 92%
Therefore number of students passed = 92% of 1650
= 92 × 16.5
= 1518
Therefore 1518 students passed.
15. In an examination, 92% of the candidates passed and 46 failed. How many candidates appeared?
Solution:
92% of students passed means 8% failed
Let number of students be x then,
8% of x = 46
= 575
Therefore total number of student = 575