a worker is allowed 70 hours for a job actual time taken is 50 hours rate per hour is Rs 10. wage as per Halsey plan is
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Given in the problem is Standard hours 60
Basic wages is 10 per hour
Wages under Rowan scheme is 12 per hour. So difference 2 per hour is the incentive under Rowan.
Now Rowan incentive formula is (Actual hours / Std hours) (Time saved) (Basic Rate)
Let time saved be assumed to be x
Substituting in formula (x/60)(60-x)*10 = 2x
(x/60)(60-x) = 0.2x
x(60-x) = 12x
60x - x-squared = 12x
-x squared = -48x
x squared = 48x
x = 48 so Actual hours worked is 48
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TOTAL WAGES EARNED DURING UNDER ROWAN PLAN 60x12= 720
TOTAL BONUS EARNED DURING UNDER ROWAN PLAN 720-60X10=120
ACTUAL TIME SAVED FOR WORK= 120/10=12 HOURS
ACTUAL TIME TAKEN=60-12=48 HOURS
WAGES UNDER HALSEY PLAN (48X10+120*50/100)= 540/- ANS (B)
TOTAL BONUS EARNED DURING UNDER ROWAN PLAN 720-60X10=120
ACTUAL TIME SAVED FOR WORK= 120/10=12 HOURS
ACTUAL TIME TAKEN=60-12=48 HOURS
WAGES UNDER HALSEY PLAN (48X10+120*50/100)= 540/- ANS (B)
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