Practice the questions given in the worksheet on finding value of a percentage.
We know, to find how much per cent one quantity is of another; suppose the value of x % of a quantity be y
The value of x % = y
Therefore, the value of 1 % = y/x
The value of 100 % = y/x × 100
Thus, the value of quantity = y/x × 100
Thus, the value of a quantity when the
value of its certain percent is known = (given value/given percentage) × 100
1. Find x if:
(i) 9 % of x is $36
(ii) 1/2 % of x is 250
(iii) 4.3 % of x is 86 kg
(iv) 62 % of x is 372
(v) 70 % of x is 14 minutes
(vi) 25 % of x is 30 days
2. Find the number whose 13 % is 780.
3. If 2.5 % of a number is 400, find the number.
4. Find the number if 12 % of it is 144.
5. Find the number if 2.3 % of it is 920.
6. Fill in the blanks:
(i) 25 is 10 % of ____.
(ii) 78 is 30 % of ____.
(iii) $102 is 24 % of ____.
(iv) 144 kg is 36 % of ____.
7. Find the number whose 12 1/2 % is 64.
8. What is the number, 6 1/4 % of which is 2?
9. If 6 is 50 % of a number, what is that number?
10. 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.
11. An agent gets commission at the rate of 12 1/2 % on the business done by him. In a particular week, he does a business of $50000, find his commission.
12. Mack bought 90 apples from the market, out of which 20 % were rotten. Find the number of good apples.
Answers for the worksheet on finding value of a percentage are given below to check the exact answers of the above questions.
Answers:
1. (i) $400
(ii) 50000
(iii) 2000 kg
(iv) 600
(v) 20 minutes
(vi) 120 days
2. 6000
3. 16000
4. 1200
5. 40000
6. (i) 250
(ii) 260
(iii) $425
(iv) 400 kg
7. 512
8. 32
9. 12
10. (i) 200
(ii) 10
(iii) 20
(iv) 48
11. $6250
12. 72 apples.
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