SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 15 of 100

Marks: +1, -0

The daily wages of A and B respectively are Rs.3.50 and Rs. 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage of Rs.75. If both of them do it together what is the cost of the work ?

Rs. 67.50
Rs. 27.50
Rs. 60.50
Rs. 70.50

Validate

Solution:

(1) Time taken by

A= {63}/{3.50}

=18

days
Time taken by

B= {75}/{2.5}

=30

days
(A + B)’s 1 day’s work

= {1}/{18}+ {1}/{30}

= {5+3}/{90}= {8}/{90}= {4}/{45}

∴

Required time

=\ {45}/{4}

days

∴

Total wages

=

Rs.

{45}/{4}×(3.50+2.50)

=

Rs.

\ (\ {45}/{4} × 6 )=

Rs. 67.5

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