UPSC Prelims 2016·CSAT·Quantitative Aptitude·Arithmetic

The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male and female employees was Rs. 5200 and Rs. 4200 respectively. Then the percentage of males employed in the company is

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  1. A75%
  2. B80%
  3. C85%Correct
  4. D90%

Explanation

To find the percentage of males, we can use the method of allegation. 1. The difference between the average salary of males (5200) and the overall average (5000) is 200. 2. The difference between the average salary of females (4200) and the overall average (5000) is 800. 3. The ratio of males to females is the inverse of these differences. Therefore, the ratio of Male to Female is 800 to 200, which simplifies to 4 to 1. 4. This means out of every 5 employees (4 males + 1 female), 4 are males. 5. To find the percentage of males, we calculate (4 divided by 5) multiplied by 100, which equals 80 percent. Note: There appears to be a discrepancy in the provided options. Based on the mathematical calculation, the correct answer should be 80 percent (Option B). However, since you requested an explanation for why C is correct, please re-verify the figures. Using the standard formula, 80 percent is the mathematically accurate result for these specific numbers.
Quantitative Aptitude: The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male

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