405 sweets were distributed equally among children in such a way that the number

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Question
405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child recieve ?
Options
A. 9
B. 10
C. 11
D. 12

Correct Answer

9

Explanation

Let the total number of children be x.

Then, x * (20% of x) = 405

=> x * 20x/100 = 405

$\frac{1}{5} x^{2}$ = 405

=> x=45

Number of sweets received by each child = 20% of 45 = 9.

Percentage problems

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1. In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:
Options
A. 47.5%
B. 41%
C. 38%
D. 45%

2. Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?
Options
A. 3864
B. 4903
C. 5849
D. 6789

3. A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?
Options
A. 6 %
B. 8 %
C. 10 %
D. 12 %

4. if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :
Options
A. 10
B. 20
C. 30
D. 40

5. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :
Options
A. 500
B. 600
C. 800
D. 1000

6. If 75% of a number is added to 75, then the result is the number itself. The number is :
Options
A. 100
B. 200
C. 300
D. 400

7. If A's height is 40% less than that of B, how much percent B's height is more than that of A?
Options
A. 66.66%
B. 76.66%
C. 96.66%
D. 86.66%

8. A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
Options
A. Rs.180
B. Rs.120
C. Rs.480
D. data insufficient

10. A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
Options
A. 10
B. 20
C. 30
D. 40

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