Percentage
- A student attempted 24 question and secured full marks in all of them. If he obtained 40% in the test and each question carried equal marks, then what was the total number of questions in the test ?
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40% = 24 questions.
Correct Option: C
40% = 24 questions.
∴ Total question = (100/40) x 24 = 60
- In a town 25% families own a phone and 15% own a car, 65% families own neithers a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.
(i) 10% families own both a car and a phone.
(ii) 35% families own either a car or a phone.
(iii) 40000 families live in the town.
Which of the above statement are correct ?
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Suppose N% familes own both a car and a phone, then
percentage of the families owing only a phone = 25 - N
Percentage of the families owing only a car = 15 - N
∴ (25 - N) +(15 - N) + N + 65 = 100
⇒ N = 5
Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
So, Statement ll is correct.
Now, suppose the total number of families in the town be A.
∴ (5 x A)/100 = 2000 ⇒ A = 40000
So, Statement lll is also correct.Correct Option: C
Suppose N% familes own both a car and a phone, then
percentage of the families owing only a phone = 25 - N
Percentage of the families owing only a car = 15 - N
∴ (25 - N) +(15 - N) + N + 65 = 100
⇒ N = 5
Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
So, Statement ll is correct.
Now, suppose the total number of families in the town be A.
∴ (5 x A)/100 = 2000 ⇒ A = 40000
So, Statement lll is also correct.
- In a company, 60% of the employees are men. Of these 40% are drawing more than ₹ 50000 per year. If 36% of the total employees of the company draw more than₹ 50000 per year, then what is the percentage of women who are drawing less than ₹ 50000 per year ?
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Let total number of employee be 100.
∴ Number of men = 60% of 100 = 60
and number of women = 40% of 100 = 40
Number of men drawing more than ₹ 50000 = 40% of 60 = 24 men
Since, number of total employees drawing more than ₹ 50000 = 36% of 100 = 36
Number of women who more than ₹ 50000 = 36 - 24 = 12
Number of women who draw less than ₹ 50000 = 40 - 12 = 28Correct Option: A
Let total number of employee be 100.
∴ Number of men = 60% of 100 = 60
and number of women = 40% of 100 = 40
Number of men drawing more than ₹ 50000 = 40% of 60 = 24 men
Since, number of total employees drawing more than ₹ 50000 = 36% of 100 = 36
Number of women who more than ₹ 50000 = 36 - 24 = 12
Number of women who draw less than ₹ 50000 = 40 - 12 = 28
Percentage of women who draw less then ₹ 50000 per year = (28 x 100)/40 = 70%
- 720 sweets were distributed equally among children in such a way that number of sweets received by each child is 20% of the total number of children. How many sweets did each receive ?
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Let the total number of children be N.
Then, N x (20/100) x N = 720Correct Option: A
Let the total number of children be N.
Then, N x (20/100) x N = 720
⇒ N2/5 = 720
⇒ N2 = 5 x 720 = 5 x 5 x 144
∴ N = √5 x 5 x 144 = 60
Number of sweets received by each child = (20/100) x 60 = 12
