Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 11)
11.
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
160
175
180
195
Answer: Option
Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

160 x 2.40 + x x 3.20 = 432

3.20x = 432 - 384 = 48

x = 15.

Hence, total hours of work = (160 + 15) = 175.

Discussion:
17 comments Page 2 of 2.

Pranks said:   1 decade ago
Amount gathered in 4 weeks ( 5 working day each) = (2.4*8)*5*4 = Rs. 384.
Time did in normal shift = 384/2.4 = 160 hours.

Amount remaining = 432-384 = 48.

Overtime did = 48/3.2 = 15 hours.
Total Time = 160+15 = 175 hours.

Naddy said:   1 decade ago
20 days =5 days per week*4 weeks

Ashish said:   1 decade ago
It is not mentioned that that 432 is including overtime.

Deepu said:   1 decade ago
As @Kachani said it was never mentioned like he worked on all his working hours. Suppose if he was off for one day and worked 16 hours next day (regular 8 hour shift and 8 hours overtime)?

Vijay said:   1 decade ago
Total days=7
Present days=5
Work hours=5

Regular hours=8hr/day *20 days=160 hours

So 2.40*160=384(so regular hours he worked is 160 hours)

Remaining amount he earned is Rs.48.

So overtime earning per hour is Rs. 3.20

Overtime working hours is Rs.48/3.20= 15 hours.

Total worked hours of a man is 160+15=175 hours.

Kachani said:   1 decade ago
But it is never mentioned that the man has worked all his regular working hours right? So how can we assume 160*2.40 ?

Naddy said:   1 decade ago
Regular hours=8hr/day *20 days=160 hours
so2.40*160=384(so regular hours he worked is 160 hours)

Remaining amount he earned is Rs.48.
so overtime earning per hour is Rs.3.20
Therefore overtime working hours is Rs.48/3.20= 15 hours
Therefore Total worked hours of a man is 160+15=175 hours


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