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Question

The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 

1/5 of the current wages and the working hours decrease by 1/24 of the current period, then
the

 new cost of erection in Rs. is


Options:
A .  16,500
B .  15,180
C .  11,000
D .  10,120
Answer: Option B

Let 'W' be the labour wages, and 'T' be the working hours. 

 Now, total cost is a function of `W` x `T` 

Increase in wages = 20% 

`:.`  Revised wages = 1.2 `W`

Decrease in labour time = (`100/24`)%

`:.`  Re vised time = (1 - `1/24`) `T` = `23/24` `T`

`:.`  Revised Total cost = 1.2 x `23/24` `WT` = 1.15 `WT`

                                     = 1.15 x 13200 = 15180




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