The wages of laborers in a factory increased in the ratio 22 : 25 and there was a reduction in their number in the ratio 15 : 11 Find the original wage bill if the present bill is Rs 5000?
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Answered by
22
Say W is the original wage bill.
∵ Number of laborers × Wage = Wage Bill
According to the question,
⇒ W : 5000 = (22 × 15) : (25 × 11)
⇒W/5000=330/275
⇒ W = 5000 × (330/275) = Rs.6000
∵ Number of laborers × Wage = Wage Bill
According to the question,
⇒ W : 5000 = (22 × 15) : (25 × 11)
⇒W/5000=330/275
⇒ W = 5000 × (330/275) = Rs.6000
Answered by
10
The original wage bill is Rs. 6000.
Ratio of the increase in wages = 22:25 (Given)
Ratio of decrease in the labourers = 15:11 (Given)
Present bill amount = Rs. 5000 (Given)
Compound ratio of wages of labourers
= 22 x 15 : 25 x 11
= 330 : 275
For ratio of 275 the wages will be = Rs. 5000
For ratio of 1 the wages will be = 5000/275
For ratio of 330 the wages will be = 5000/275 x 330
= 6000
Therefore, the original wage bill was Rs. 6000.
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