Aptitude - Simplification - Discussion

Discussion :: 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 ?

[A]. 160
[B]. 175
[C]. 180
[D]. 195

Answer: Option B

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.


Naddy said: (Jan 15, 2011)  
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

Naddy said: (Jan 15, 2011)  
20 days =5 days per week*4 weeks

Kachani said: (Aug 22, 2011)  
But it is never mentioned that the man has worked all his regular working hours right? So how can we assume 160*2.40 ?

Anshu said: (Apr 14, 2012)  
The total working days =Total working hours in a week * 4 weeks
= 5 * 4 * 8 = 160 hours
Total wage for 160 hours = 160 * 2.4 = 384 Rs.
Given income - total income = 432 - 384 = 48
wage / hour during overtime => 3.2 Rs.
48/3.2 = 480/32 = 60/4 = 15
So in all he worked 25 hours overtime and 160 hours
Therefore,
1 6 0
+ 1 5
------
1 7 5
Therefore the total hours = 175 hours.

Vijay said: (Sep 26, 2012)  
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.

Arshad said: (May 28, 2013)  
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

= 160*2.40 = 384-432 = 48/3.20 = 15.
= 160+15.
= 175.

Deepu said: (Dec 14, 2013)  
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)?

Ashish said: (Feb 8, 2014)  
It is not mentioned that that 432 is including overtime.

Isha said: (Aug 15, 2014)  
You are right @Ashish, they have not mentioned 432 is including overtime.

Ragavardhini said: (Sep 26, 2014)  
I am unable to understand the concept, please explain it clearly.

Pranks said: (Oct 14, 2014)  
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.

Sapna said: (Oct 3, 2015)  
But how can we find it faster this calculation takes lots of time.

Aisha said: (Jul 14, 2016)  
How can we find it easily?

Cake said: (Sep 14, 2016)  
Given,

Work 8 Hrs = 2.40/h.
OT 8+ Hrs = 3.20.

Now 432 for 4 Work.
1 Work = 5 Days
4 Work = 20 Days ( 20 Days for 8 hrs is 20 * 8 =160 hrs).

1 Hr = 2.40 (160 hrs is 160 * 2.4 = 384) Now we have 384 Rs and we need to calculate how much short are we from 432.Rs. So, we will subtract 432 - 384 = 48.Rs which is overtime
For overtime, we calculate 3.20 for 1 hr which is given so (48/3.20 = 15Hrs)
So 160 hrs for the normal working hours paid plus 15 hrs of overtime is 175 hrs.

So, A = 175.

Mohana said: (Oct 29, 2017)  
It's very important.

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