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Agency A supplies 11 workers and agency B supplies 14 workers to a construction site. If the construction site hires only agency A workers it will complete the work in 3 days, but if it hires all the workers it can reduce the completion time by 2 days. If agency B workers are paid Rs 11000, how much should an agency A worker be paid (in rupees)?

Agency A supplies 11 workers and agency B supplies 14 workers to a construction site. If the construction site hires only agency A workers it will complete the work in 3 days, but if it hires all the workers it can reduce the completion time by 2 days. If agency B workers are paid Rs 11000, how much should an agency A worker be paid (in rupees)? Correct Answer 7000

Let the efficiency of an agency A worker and an agency B worker be x and y respectively

⇒ 2 days of work by agency A workers can be replaced by 1 day work of agency B

⇒ 2 × Efficiency of 11 agency A workers = Efficiency of 14 workers

⇒ 2 × 11x = 14y

⇒ 11x = 7y

⇒ x/y = 7/11

Salary ∝ Efficiency

⇒ x/y = Salary of agency A worker/11000

∴ Salary of agency A worker = 7/11 × 11000 = 7000

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