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Previous Year Questions

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Question :

Directions : Read the data given below carefully and answer the following questions:

Below given are the steps to calculate the Employees' Provident Fund (EPF) of an employee:

EPF of an employee = Employee contribution + Employer Contribution

Employee contribution = 12% of (Basic salary + Dearness allowance)

Employer contribution = 12% of (Basic salary + Dearness allowance) - 8.33% of Rs.15000

Dearness allowance of an employee can be calculated based on the table given below:

Range of Basic salaryDearness allowance (% of Basic salary)
> 40000 < 6000040%
> 6000020%

There are five employees A, B, C, D and E in an office and their basic salary can be calculated based on the given formulas:

Basic salary = 250 * Total working hours (Number of working days * Average working hours in a day)

Some information about number of working days and average working hours in a day of five employees is also given:

Total Working hours in a month for employee A is 160 hours and ratio of number of working days for A to that for B is 2: 3. Average working hours of B in a day is 'P' hours which is 5 hours less then that of E. Total working hours for B is 60% of that for C and number of working days for C is 1 more than that for B. Average working hours in day for A and D is same and number of working days for D is double of his average working hours in a day. Ratio of total working hours for A to that for D is 4: 5.

If total EPF amount of employee C is Rs.1200 more than that of employee D, then what is the average of average working hours in day for all the five employees given that average working hours of C is more than 9?

1. 11.1 hours

2. 9.5 hours

3. 10 hours

4. 8.8 hours

5. 12.33 hours

Correct Answer : 2
Solution :

Total Working hours in a month for A = 160 hours

Let number of working days for A and B is '2x' and '3x' respectively.

Average working hours of B in a day = 'P' hours

Average working hours of E in a day = 'P + 5' hours

Number of working days for C = (3x + 1)

Let average working hours in day for A and D is 'y' each.

Number of working days for D = 2y

Total Working hours for D = 2y * y = 160 * (5/4)

2y2 = 200

y2 = 100

y = 10

For employee A:

2x * 10 = 160

x = 8

Let total working hours for B and C is '6z' and '10z' respectively.

EmployeeNumber of working daysAverage working hoursTotal working hours
A1610160
B24P6z
C25----10z
D2010200
E----(P + 5)----

Employee D:

Basic salary = 250 * 200 = Rs.50000

DA = 40% of 50000 = Rs.20000

Basic salary including DA = 50000 + 20000 = Rs.70000

Employer contribution in EPF = 12% of 70000 = Rs.8400

Employer contribution in EPF = 12% of 70000 - 8.33% of 15000 = 8400 - 1249.5 = Rs.7150.5

Total EPF = 8400 + 7150.5 = 15550.5

Employee C:

Total EPF = 15550.5 + 1200 = Rs.16750.5

Employee contribution + Employer contribution = 16750.5

Let Employee contribution = 'C'

C + C - 8.33% of 15000 = 16750.5

2C = 16750.5 + 1249.5

C = 9000

Basic salary including DA = 9000 * (100/12) = Rs.75000

Let basic salary without DA = M

Case 1:

M + 40% of M = 75000

M = 53571 (Approx)

250 * Total working hours = 53571

Total working hours for C = 214 (Approx)

Average working hours in a day for C = 214/25 = 8.57 (Invalid. Since, average working hours can't be less than 9).

Case 2:

M + 20% of M = 75000

M = Rs.62500

250 * Total working hours = 62500

Total working hours for C = 250

Average working hours in a day for C = 250/25 = 10

Total working hours for B = 60% of 250 = 150

Average working hours in a day for B = P = 150/24 = 6.25

Average working hours in a day for E = (P + 5) = 11.25

Required average = (10 + 6.25 + 10 + 10 + 11.25)/5 = 9.5 hours

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