Exercise 11.1
Question: 1
Express each of the following per cents as fractions in the simplest forms:
(i) 45%
(ii) 0.25%
(iii) 150%
(iv) 6(1/4) %
Solution:
Question: 2
Express each of the following fractions as a per cent:
(i) (3/4) %
(ii) (53/100) %
(iii) 1(3/5) %
(iv) (7/20) %
Solution:
Exercise 11.2
Question: 1
Express each of the following ratios as per cents
(i) 4:5
(ii) 1:5
(iii) 11: 125
Solution:
Question: 2
Express each of the following per cents as ratios in simplest forms
(i) 2.5%
(ii) 0.4%
(iii) 13(3/4)%
Solution:
Exercise 11.3
Question: 1
Express each of the following per cents as decimals:
(i) 12.5%
(ii) 75%
(iii) 128.8%
Solution:
Question: 2
Express each of the following decimals as per cent:
(i) 0.004
(ii) 0.24
(iii) 0.02
(iv) 0.275
Solution:
Question: 3
Write each of the following as whole numbers or mixed numbers:
(i) 136%
(ii) 250%
(iii) 300%
Solution:
Exercise 11.4
Question: 1
Find each of the following:
(i) 7% of Rs.7150
(ii) 40% of 400Kg
(iii) 20% of 15.125litres
(iv) 3(1/3)% of 90 km
(v) 2.5% of 600metres
Solution:
Question: 2
Find the number whose 12(1/2) % is 64.
Solution:
Question: 3
What is the number, 6(1/4)% of which is 2?
Solution:
Question: 4
If 6 is 50% of a number, what is the number?
Solution:
Exercise 11.5
Question: 1
What per cent of
(i) 24 is 6?
(ii) Rs.125 is Rs.10?
(iii) 4km is 160 metres?
(iv) Rs. 8 is 25 paise?
(v) 2 days is 8 hours?
(vi) 1 lire is 175 ml
Solution:
Question: 2
What per cent is equivalent to 3/8?
Solution:
Question: 3
Find the following:
(i) 8 is 4% of which number
(ii) 6 is 60% of which number
(iii) 6 is 30% of which number
(iv) 12 is 25% of which number
Solution:
Question: 4
Convert each of the following pairs into percentages and find out which is more?
(i) 25 marks out of 30, 35 marks out of 40
(ii) 100 runs scored off 110 balls, 50 runs scored off 55 balls
Solution:
Question: 5
Find 20% more than Rs.200.
Solution:
Question: 6
Find 10% less than Rs.150
Solution:
Exercise 11.6
Question: 1
Ashu had 24 pages to write. By the evening, he had completed 25% of his work. How many pages were left?
Solution:
Question: 2
A box contains 60 eggs. Out of which 16(2/3)% are rotten ones. How many eggs are rotten?
Solution:
Question: 3
Rohit obtained 45 marks out of 80. What per cent marks did he get?
Solution:
Question: 4
Mr Virmani saves 12% of his salary. If he receives Rs 15900 per month as salary, find his monthly expenditure.
Solution:
Question: 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:
Question: 6
Rajdhani College has 2400 students, 40% of whom are girls. How many boys are there in the college?
Solution:
Question: 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:
Question: 8
Rahim obtained 60 marks out of 75 in Mathematics. Find the percentage of marks obtained by Rahim in Mathematics.
Solution:
Question: 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:
Question: 10
Ram scored 553 marks out of 700 and Gita scored 486 marks out of 600 in science. Whose performance is better?
Solution:
Question: 11
Out of an income of Rs 15000, Nazima spends Rs 10200. What per cent of her income does she save?
Solution:
Question: 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:
Question: 13
Mr. Sidhana saves 28% of his income. If he saves As 840 per month, find his monthly income.
Solution:
Question: 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:
Question: 15
In an examination, 92% of the candidates passed and 46 failed. How many candidates appeared?
Solution:
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Chapter 11: Percentage Exercise – 11.5…Percentage Exercise 11.1
Chapter 11: Percentage Exercise – 11.1…Percentage Exercise 11.2