Time, Work and Wages Problems For Bank Exam

Time, Work and Wages Problems For Bank Exam

Quantitative Aptitude Study Notes for Bank Exam
You know that quantitative
aptitude section is most important in bank
exams
in PO and Clerk and for other competitive exams because if you want
good score in bank exam then you have to score good in maths. In competitive
exams the most important thing is time management, if you know how to manage
your time then you can do well in Bank
Exams
as well as in other competitive exams. That’s where maths shortcut tricks and formula are
comes into action. So continuously we are providing shortcut tricks on
different maths topics. Today’s topic is time and wages problems for bank
exam.
This is the one of the most
important topic in quantitative aptitude section in bank and SSC exam. You
should know how to solve time and wages questions
in very short time for bank exam.
From this chapter around 1-2 questions are given in the SBI and IBPS exams. For this here we are providing shortcut tricks and quicker method to solve time, work and wages problems in very
short time. This topic is similar to the time and work problems topic but the
only difference is that in this topic we will also find out wages of the
workers according to their time for that particular work. Time and wages
formulas: If ‘M1’ persons can do ‘W1’ work in ‘D1
days and ‘M2’ persons can do ‘W2’ work in ‘D2
days then we have a very special general formula in the relationship of M1 D1 W2 = M2 D2 W1.

THEOREM: Wages are distributed in proportion to the
work done and in indirect (or inverse) proportion to the time taken by the
individual.
This theorem helps in shortcut tricks, which we will use for
time and work or wages questions.
Time,
work and wages problems with solutions are given below:
Ex. 1: A can do a work in 6 days and B can do the same
work in 5 days. The contract for the work is Rs 220. How much shall B get if
both of them work together?
Solution:
Method 1: A’s 1 day’s work = 1/6;
B’s 1 day’s work = 1/5
Ratio of their wages = 1/6 : 1/5
= 5:6
B’s share = 220 / 5+6 * 6
= Rs. 120
Shortcut
trick for time and wages question
Method 2: As wages distributed in inverse proportion of
number of days, their share should be in the ratio 5:6

B’s share = 220/11 * 6 = 120
Ex. 2: A man can do a work in 10 days. With the help of a
boy he can do the same work in 6 days. If they get Rs 50 for that work, what is
the share of that boy?
Solution:
The boy can do the work in 10*6 /
10-6 = 15 days.
Man’s share : boy’s share = 15 :
10 = 3 : 2
Man’s share = 50/5 * 3 = Rs 30
Ex. 3: A, B and C can do a work in 6, 8 and 12 days
respectively. Doing that work together they get an amount of Rs. 1350. What is
the share of B in that amount?
Solution: A’s one day’s work = 1/6
B’s one day’s work = 1/8
C’s one day’s work = 1/12
A’s share : B’s share : C’s share
= 1/6 : 1/8 : 1/12
Multiplying each ratio by the LCM
of their denominations, the rations become 4 : 3 : 2
B’s share = 1350/9 * 3 = 450
Shortcut
trick:
A’s share :
B’s share : C’s share =
B’s time * C’s time : A’s time *
C’s time : A’s time * B’s time
= 96 : 72 : 48 = 4 : 3 : 2
B’s share = 1350/9 * 3
= 450 Rs.
Ex. 4: two men undertake to do a piece of work for Rs
200. One alone could do it in 6 days. With the assistance of a boy they finish
it in 3 days. How should the money be divided?
Solution: 1st man’s 3 days’ work = 3/6
2nd man’s 3 days’ work
= 3/8
The boy’s 3 days work = 1 – (3/6
+ 3/8) = 1/8
Their share will be in the ratio
3/6 : 3/8 : 1/8 = 4 : 3 : 1
1st man’s share =
200/8 * 4 = Rs. 100
2nd man’s share =
200/8 * 3 = Rs 75
The boy’s share = 200/8 * 1 = Rs.
25
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