Question

Study the following information carefully and answer the questions given below: The given data is about number of athletes (males and females) who won different medals in boxing i.e. Gold, Silver and Bronze. The number of males who won Silver medal is 25% more than the number of females who won Gold medal. Total number of males who won Silver and Bronze medal is 900. Total number of Gold medals won by both (males + females) is 800. The number of males who won Gold medal and Bronze medal are equal. The number of females who won Bronze medal is 200 which is 50 less than that who won Silver medal.

Find the difference between the total number of Silver medals and number of males who won Gold medals.

A 375 Correct Answer Incorrect Answer
B 350 Correct Answer Incorrect Answer
C 348 Correct Answer Incorrect Answer
D 305 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the number of females who won Gold medal be ‘x’. Therefore, number males who won Silver medal = 1.25x Number of males who won Bronze medal = (900 – 1.25x) Number of males who won Gold medal = (800 – x) According to the question, => 900 – 1.25x = 800 – x => x = 100/0.25 => x = 400 Therefore, number of females who won Gold medal = x = 400 Number of females who won Bronze medal = 200 Number of female who won Silver medal = 200 + 50 = 250 Number of male who won Gold medal = 800 – x = 400 Number of male who won Silver medal = 1.25x = 500 Number of male who won Bronze medal = 900 – 1.25x = 400 Required difference = (500 + 250) – 400 = 350

×