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At a construction site, 2 men and 5 women are paid Rs 2500 for one day's work, while 4 men and 3 women are paid Rs 2900 for a day. Find the daily wage (in Rs) of one woman.

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
  • A300
  • B500
  • C200
  • D800

Step-by-Step Solution

Let a man earn Rs and a woman Rs a day. and . Doubling the first: . Subtracting the second: , so and . Check: . 500 is the man's wage, the classic swap of the two unknowns; 200 is the difference between the two wages; 800 is what one man and one woman earn together.
Answer: A) 300

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