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Question

Mathematics Question on Profit and Loss

A daily wage worker was paid Rs: 1,700 during a period of 30 days. During this period he was absent for 4 days and was fined Rs. 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?

A

Rs. 2400

B

Rs. 3000

C

Rs. 2700

D

Rs. 2250

Answer

Rs. 2400

Explanation

Solution

The correct option is (A): Rs. 2400
Explanation:

Assume: Salary for full day work = Rs.2xRs. 2x,
So, half day salary = Rs.xRs. x and absent penalty = Rs.15Rs. 15
The worker was absent for 4 days, so received full pay for 18 days, and he was late for 8 days.
So, according to ques,
(18×2x)+(8×x)(4×15)=1700(18 \times 2x) + (8\times x) (4 \times 15) = 1700
36x+8x60=170036x + 8x - 60 = 1700
x=176044=40x = \frac{1760}{44} = 40

So, Salary paid to the worker who arrived on time each day and had no absences = 30×2×40=Rs.240030 × 2 × 40 = Rs. 2400