A house is to be constructed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
Choose the correct choice from the following choices:
A) 76
B) 64
C) 81
D) 120
E) None of these
Explanation :   Solution: Remaining work = (1-4/7) = 3/7. remaining period =(46-33)= 
<gadget id="calculator">(46-33)</gadget>
<output>13</output>
13 days.   Let the total men working at it be x.   Less work, less men (Direct proportion)   Less days, more men (Indirect proportion)   More hrs/day, less men (Indirect proportion)   work 4/7 : 3/7   Days 13 : 33 } : : 117 : x   Hrs/Day 9 : 8   .'. 4/7*13*9*x= 3/7*33*8*117 or x = ((3*33*8*117)/4*13*9) = 198.   .'. Additional men to be employed = (198-117)= 
<gadget id="calculator">(198-117)</gadget>
<output>81</output>
81.   Answer : 81
<result>C</result>
A house is to be constructed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?