# Percent Maths Questions

Several questions on percentages, with detailed solutions are presented.
## Question 1What percentage of the large square is coloured red in each figure below?Solution to Question 1In figure A, 1 small square out of a total of 100 is colored red, the answer is 1 / 100 = 1% In figure B, 41 small squares out of a total of 100 are colored red, the answer is 41 / 100 = 41% In figure C, 50 small squares out of a total of 100 are colored red, the answer is 50 / 100 = 50% which is also equal to one half. In figure D, 100 small squares out of a total of 100 are colored red, the answer is 100 / 100 = 100% which is also equal to one.
## Question 2What percent of the balls in the figure below are red?Solution to Question 25 balls out of a total of nine are red, so in fraction we have 5 / 9 divide 5 by 9 to obtain 5 / 9 = 0.56 (rounded to 2 decimal places) Multiply and divide 0.56 by 100 to obtain = 0.56 * 100 / 100 = 56 / 100 = 56% Approximately 56% of the balls in the above figure are red.
## Question 3What is 12% of 250?
## Question 44 is what percent of 32?
## Question 56 is 80% of what number?
## Question 6A number increased from 120 to 150. By what percent, of its original value, did this number increase?Solution to Question 6A percent represent a part of a whole or a fraction with the denominator equal to 100. The part here is the absolute increase given by part = 150 - 120 = 30 The whole is the original value, 120, hence the unknown percent x is given by x = part / whole = 30 / 120 = 0.25 Multiply 0.25 by 100 and divide it by 100 to obtain. x = 0.25 * 100 / 100 = 25 / 100 = 25% An increase from 120 to 150 is equivalent to a 25% increase of the original value 120.
## Question 7A number decreased from 80 to 50. By what percent of its original value has this number decreased?Solution to Question 7The part here is given by part = 80 - 50 = 30 The whole is the original value, 80, hence the percent x is given by x = part / whole = 30 / 80 = 0.375 Multiply 0.375 by 100 and divide it by 100 to convert it into percentage. x = 0.375* 100 / 100 = 37.5 / 100 = 37.5% A decrease from 80 to 50 is equivalent to a 37.5% decrease of the original value 80.
## Question 8Which is greater 15% of 380 or 25 of 210?Solution to Question 8Let x = 15% of 380, hence x = 15% * 380 = (15 / 100) * 80 = 15 * 380/100 = 57 Let y = 25% of 210, hence y = 25% * 210 = (25/100) * 210 = 52.5 15% of 380 is greater than 25 of 210
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