SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 13 of 100

Marks: +1, -0

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only

(2 /5)

th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

Solution:

(4) Work done in 32 days

=2/5

th part
Remaining work

=1- {2}/{5}= {3}/{5}

Let x men do

3/5

th part of work in 28 days.

{ {M}_{1} {D}_{1}}/{ {W}_{1}}= { {M}_{2} {D}_{2}}/{ {W}_{2}}

⇒{35 ×32}/{ {2}/{5}}= {x × 28}/{ {3}/{5}}

⇒ x×28 × 2=35 ×32× 3

⇒ x= {35× 32 × 3}/{28×2}=60

∴ Required number of additional persons = 60 – 35 = 25

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