Latest Wipro Aptitude Question SOLUTION: A man's basic pay for a 40 hour week is Rs. 20. Overtime is paid for at 25% above the basic rate. In a crertain week, he worked overtime and his total wage Rs. 25. He, therefore, w

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A man's basic pay for a 40 hour week is Rs. 20. Overtime is paid for at 25% above the basic rate. In a crertain week, he worked overtime and his total wage Rs. 25. He, therefore, worked for a total of :

a. 45 hours
b. 27 hours
c. 48 hours
d. 50 hours

Asked In Wipro (12 years ago)

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Pratyush Maity  (8 years ago)

Correct Option: C
Explanation:
Basic rate per hour = Rs.(20/40)= Rs.1/2
Overtime per hour = 125% of Rs.1/2=125/100×1/2=Rs.5/8
Suppose he worked x hours overtime.
Then,
20+5x/8=25
or, 5x/8=5
x=(5×8)/5=8 hours
So he worked in all for (40+8) hours = 48 hours.

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harsha  (5 years ago)

always whenever there is a problem that, if anything is increased by 1/nth of the given number then the increased total will be 1/(n+1)th of the given value..

so for the given proble
initial value was 20 for 40 hrs
now the salary became 25 i.e 5rs has been increased.
so 5rs of 20rs is 1/4 .. which means the salary is increased by 1/4th times
so the work done by him will be 1/(n+1)th time of a total number of hours he worked.

i.e
he worked for 40 hrs .. so 1/(n+1) of 40 is
1/(4+1) = 1/5 times of 40
which is equal to 40/5= 8
so he worked for extra 8 hrs.

so the answer will be 40+8.

the explanation may be long but if you understand its easy .. and please don't mind my English . its a bit poor.

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akanksha  (4 years ago)

Let the man worked overtime for x hours.

Basic pay of 40 hours = Rs. 200.

∴Basic pay of 1 hour = 20040

= Rs. 5

According to the question,

200+x×5×125100 = 300

=> 254x = 300 - 200

=> x = 100×425 = 16

∴ Total hours of work

= 40 + 16 = 56

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