QUESTION

CSAT

Hard

Maths

Prelims 2016

The monthly average salary paid to all the employees of a company was Rs. 50005000. The monthly average salary paid to male and female employees was Rs. 52005200 and Rs. 42004200 respectively. Then the percentage of males employed in the company is

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Explanation

Overall Average Salary = 5000 Average Salary of Males = 5200 Average Salary of Females = 4200

Let: Number of Male Employees = M Number of Female Employees = F Total Employees = M + F Formula:

(M×5200)+(F×4200)=5000(M \times 5200) + (F \times 4200) = 5000 Step 1: Multiply both sides by (M+F)(M + F): (M5200)+(F4200)=5000(M+F)(M * 5200) + (F * 4200) = 5000 * (M + F)

Step 2: Rearrange the equation: M5200+F4200=M5000+F5000M * 5200 + F * 4200 = M * 5000 + F * 5000

Step 3: Factor out terms: M(52005000)=F(50004200)M * (5200 - 5000) = F * (5000 - 4200)

Step 4: Substitute values: M200=F800M * 200 = F * 800

Step 5: Solve for M/F ratio: M/F=800/200M / F = 800 / 200 M/F=4/1M / F = 4 / 1

Thus, Males make up 4 parts out of 5, so:

Percentage of Males = (45)100(\frac{4}{5})*100 Result: 80%

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