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यदि 10 पुरुष या 20 महिलाएँ या 40 बच्चे किसी काम को 7 महीने में कर सकते है , तो 5 पुरुष , 5 महिलाएँ तथा 5 बच्चे मिलकर काम को कितने समय में पूरा करेंगे ?A. 6 monthsB. 4 monthsC. 5 monthsD. 8 months |
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Answer» Correct Answer - c (d) 10 men = 20women = 40children (efficicency of men women and children will be in complete work in same days ) convert them in one figure : 10 men = 20women `(10)/(20)` men = 1 women …….(i) `(10)/(4)` men =1 child `to` 5 children `=((1)/(40xx5)=(1)/(4))`men ......(ii) 5 men + 5 women + 5 children `=(20+10+5)/(4)=(35)/(4) men ` Now , if 10men can do a work in `7xx10` if `(35)/(4)` men can can do a work in `(7xx10)/((365)/(4) )`=8 monthss ltbr. alternate 10M `xx` 7 months -`= 20 W xx7 ` months `=40C xx7` months 10M = 20W = 40C 1M =2W = 4C `(m)/(4)=(w)/(2)=(c)/(1) to` Efficiency total work `= 10xx4xx7`units Eiffciency of 5M + 5W + 5C `=5xx4+5xx2+5xx1` = (5+ 4+32+1) = 35 units /day ltbr. time taken buy (5m +5W + 5C) `=(10xx4xx7)/(35)` = 8 months |
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