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Quantitative Aptitude Shortcut Methods

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by September 14, 2015 Aptitude

Time and Work Shortcut Methods

Time and Work problems are most frequently asked problems in quantitative aptitude. To solve these problems very quickly, you should understand the concept of Time and Work and some shortcut methods.

Time

If a man can do a piece of work in 5 days, then he will finish 1/5th of the work in one day.

If a man can finish 1/5th of the work in one day then he will take 5 days to complete the work.

If a man 5/6th of work in one hour then he will take 6/5 hours to complete the full work.

If A works three times faster than B then A takes 1/3rd the time taken by B.

Here are some shortcut rules which can be very useful while solving Time and Work problems.

In total 9 rules are given here.

Rule 1: Universal Rule
This rule can be used in almost every problems.

If M1 persons can do W1 work in D1 days and M2 persons can do W2 works in D2days then we can say
M1D1W2 = M2D2W1

If the persons work T1 and T2 hours per day respectively then the equation gets modified to
M1D1T1W2 = M2D2T2W1

If the persons has efficiency of E1 and E2 respectively then,
M1D1T1E1W2 = M2D2T2E2W1

Example

Rule 2:
If A can do a piece of work in n days, then
The work done by A in one day = 1/n

Example

Rule 3:
If A can do a work in D1 days and B can do the same work in D2 days then A and B together can do the same work

Time_and_work

Profit And Loss

Cost Price: It is the price at which any article or unit or item is bought. It is abbreviated as CP.

profit or loss
Selling Price: It is the price at which any article or unit or item is sold. It is abbreviated as SP.
Profit: If Selling Price is greater than Cost Price then seller makes profit.

Profit = SP – CP
Loss: If Cost Price is greater than Selling Price then seller incurs loss.

Loss = CP – SP
Basic Formulas:

        Basic formula

Basic formula1

One point is to be noted that loss or profit is always calculated with reference to CP.

 

 

 

 

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