Saturday, 13 February 2016
SHORTCUT OF THE DAY
Two persons A and B can a finsh a job alone in x and y days respectively.if they start working alternate days,then to find the total job completion time following steps are taken.
Note:This formla applicable only when x and y are integers.
Case:If A starts the work
Step I:first caluculate the value of p; nearest integer value to be considerd=(xy/x+y)
a)when, x-y=+or- 2, +or-4 then apply the following formla.
T(total job completion time)=xy+p(x-y)/x
b)when, x-y=+or- 1, +or-3 then apply the following formla.
T(total job completion time)=xy-p(x-y)/y
Eg1: Two persons A and B can a finsh a job alone in 5 and 7 days respectively.if they start working alternate days,If A starts the work then to find the total job completion time
Ans: Applying the above shortcut
StepI:p=xy/x+y=5*7/5+7=35/12=3(nearest integer value)
Step II:x-y=5-7=-2, here the formula (a) applied
Total time(If A starts the work)=xy+p(x-y)/x=5*7+3(5-7)/5
Eg2: Two persons A and B can a finsh a job alone in 9 and 12 days respectively.if they start working alternate days,If A starts the work then to find the total job completion time
Ans: Applying the above shortcut
StepI:p=xy/x+y=9*12/9+12=108/21=5(nearest integer value)
Step II:x-y=9-12=-3, here the formula (a) applied
Total time(If A starts the work)=xy-p(x-y)/y=9*12-5(9-12)/12
=41/4=10 ¼ days
if u have any doughts about this shortcut comment here.........
Banks, it is often said, are the fulcrum of a robust economy. Healthy banks are an essential prerequisite for placing the economy on a higher growth orbit. The banking scene in India, however, presents an absolutely scary picture. A combination of factors ranging from poor credit appraisal to political interference and mismanagement by borrowers have conspired to push the banking industry into a messy cobweb. Bank after bank, especially the government-owned, has come out with poor third-quarter results. The stressed assets (comprising gross non-performing assets plus written-off assets and restructured assets) account for 14.1 per cent of total bank loans as of September 2015, up from 13.6 per cent in March 2015. For public sector banks, the stressed assets were in the vicinity of 17 per cent at the end of September, while the figure for private sector banks stood at 6.7 per cent. The rising stress level, or increase in bad loans, has yielded a twin fallout — of declining profitability at banks and poor credit disbursal. The double effect is already telling on the economy in various ways. For long, banks have either managed to, or rather been allowed to, keep the stress invisible, giving the outside world very little clue as to the happenings inside the industry. The Reserve Bank of India under Raghuram Rajan’s stewardship, however, has decided to clean up banks’ books rather than letting them camouflage the real picture. “There are two polar approaches to loan stress,” he said at the CII Banking Summit in Mumbai this week. “One is to apply band-aids to keep the loan current, and hope that time and growth will set the project back on track. Sometimes this works. But most of the time, the low growth that precipitated the stress persists. The fresh lending intended to keep the original loan current grows. Facing large and potentially un-payable debt, the promoter loses interest, does little to fix existing problems, and the project goes into further losses.” Indeed, legacy problems should be given a burial, and should not be allowed to persist. So hinting, Dr. Rajan articulated the need for surgical action to retrieve the health of the industry.