1.

1). 502). 403). 454). 10

Answer»

Let n be the NUMBER of workers and x be the work done by 1 worker in 1 day

∴ According to the 1st condition,

⇒ nx + (n - 1)x + (n - 2)x + … + x = 1

∴ x × n(n + 1)/2 = 1

∴ x × n(n + 1) = 2- - - - - (1)

Also According to the 2nd given condition,

(55n/100) × nx = 1

∴ x = 20/(11 × n × n)- - - - - (2)

On substituting (2) in (1) we get,

20/11n2 × (n2 + n) = 2

(n2 + n)/n2 = 11/10

1 + 1/n = 11/10

∴ n = 10

∴ There are 10 workers in the group.



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