Sample Question. 5 kg of rice and 2 kg of tea cost Rs/- 35, prices of rice grew by 10% and tea by 35% and together I could purchase it for Rs.420. What is the price of tea.
(in these type of questions, whatever is asked take reverse of that, here tea is asked so work on rice.)
Method
350+10% of 350=385
420-385=35
There is a difference of 25%(35%-10%)
This is Rs. 35
25% corresponds to Rs. 35
therefore 100%=140
2 Kg=Rs 140. so 1kg =70
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Example.- I hired a servant for Rs. 300 per month and a cycle if he works for a year. After 8 months I threw him out and paid him Rs. 50 for that month and the cycle. How much does the cycle cost?
Method- In 8 months the servant has earned 2/3rd (8/12) of the cycle. So he is left with just 1/3rd of the cycle, which we will cut in place of 300 we gave him only 50.
1/3 corresponds to (300-50)=250
therefore 1=750. so the cost of the cycle is Rs. 750.
Showing posts with label Tips and Tricks. Show all posts
Showing posts with label Tips and Tricks. Show all posts
Thursday, September 6, 2007
COIN CONCEPT
When 2 quantities are sold as a group together .
Example- A horse and a carriage were bought for Rs. 12000. the carriage was sold at a loss of 10% , horse was sold at a profit of 20%. Together I received Rs.13500. what is the C.P. and S.P. of each.
Method-Assume everything to be a horse, so I shud have sold everything at 20% profit.20% of 12000+12000= 14400.But I received Rs. 13500 only that makes a difference of 900 or Rs. 900 are less. This also makes a difference of 30% coz we calculated 40% profit (20+20%), but we had [+20%+(-10%)]=10%
I calculated 30% more on carriage.
30% or carriage=900
therefore 100%=3000
so now we have the individual cost of the horse, the carriage is for 9000/-and the S.P. can b calculated now.
Example- A horse and a carriage were bought for Rs. 12000. the carriage was sold at a loss of 10% , horse was sold at a profit of 20%. Together I received Rs.13500. what is the C.P. and S.P. of each.
Method-Assume everything to be a horse, so I shud have sold everything at 20% profit.20% of 12000+12000= 14400.But I received Rs. 13500 only that makes a difference of 900 or Rs. 900 are less. This also makes a difference of 30% coz we calculated 40% profit (20+20%), but we had [+20%+(-10%)]=10%
I calculated 30% more on carriage.
30% or carriage=900
therefore 100%=3000
so now we have the individual cost of the horse, the carriage is for 9000/-and the S.P. can b calculated now.
Multiplication of Numbers in the range of 10,100,1000
Suppose you get to calculate the square of 9997 . Even the thought of approaching the question will run a chill up your spine.
But hey, don't worry. In 2 minutes, you'll be wishing that such calculations DO come in the CAT.
Heres how to approach them :
General Method :
Calculate 104 x 103 :
1.Add the digits exceeding or lesser than 10 or 100 or 1000 , as the case may be :100 +4 + 3 : 107
2. Now, add 'z' zeroes to the above number. where z= 1 , if number is in range of 10's
= 2 , if number is in range of 100's
= 3 , if number is in range of 1000's
So, in this case we add 2 zeroes : 10700
3. Now multiply the numbers 4 and 3 [ in the above case] : 12
4. Add 10700 and 12 : 10712
Hence the answer is 10712
Some more examples :
1.) Calculate : 1000 -3 - 3 = 9994
2.) Add 3 zeroes : 9994000
3.) Multiply 3 and 3 = 9
4.) Add em : 9994009
2) Add 2 zeroes : 10800
3) Multiply 12 and 4 : 48
4) Add em : 10848
Got it? Wasn't it simple? Now, practice some more so that you get the hang of it. HAPPY MULTIPLICATION!!!
But hey, don't worry. In 2 minutes, you'll be wishing that such calculations DO come in the CAT.
Heres how to approach them :
General Method :
Calculate 104 x 103 :
1.Add the digits exceeding or lesser than 10 or 100 or 1000 , as the case may be :100 +4 + 3 : 107
2. Now, add 'z' zeroes to the above number. where z= 1 , if number is in range of 10's
= 2 , if number is in range of 100's
= 3 , if number is in range of 1000's
So, in this case we add 2 zeroes : 10700
3. Now multiply the numbers 4 and 3 [ in the above case] : 12
4. Add 10700 and 12 : 10712
Hence the answer is 10712
Some more examples :
- Find the square of 9997
1.) Calculate : 1000 -3 - 3 = 9994
2.) Add 3 zeroes : 9994000
3.) Multiply 3 and 3 = 9
4.) Add em : 9994009
- Multiply 112 and 96
2) Add 2 zeroes : 10800
3) Multiply 12 and 4 : 48
4) Add em : 10848
Got it? Wasn't it simple? Now, practice some more so that you get the hang of it. HAPPY MULTIPLICATION!!!
Fractions of 1 to 30
Time is golden. So, Im going to give you the tips to save time during calculations in data interpretation and quantitative analysis.
Beginning with fractions from 1/1 to 1/30 :
Till 1/1 to 1/5, its easy. You probably have these on your tips already.
For convenience purposes, ill deal the fractions as percentages. [ The actual fraction is the answer divided by 100]
1/1 : 100
1/2 : 50
1/3 : 33.33
1/4 : 25
1/5 : 20
Now let's begin the tough ones. Ill try to make you understand the patterns here :
1/6 : 16.67 and 1/15 : 6.67 [ Got it? ]
1/7 : 14.2856 [ 7x2=14 ; 7x4=28 ; 7x8=56 ]
TIP : The fractions of the multiples of a number can be calculated by just dividing the source fraction by the multiplication factor .
Eg. : 1/2 : 50 ; 1/4 : 25 ; 1/8 : 12.5 ;
So, by this way, we get the following fractions :
1/8 : 12.5
1/10 : 10
1/12 : 8.33 [ 1/6 =16.67 remember??]
1/14 : 7.14
1/16 : 6.25
1/20 : 5
1/24 : 4.16
1/25 : 4
1/30 : 3.33
Now, something goes in pairs :
1/9 : 11.11
AND
1/11 : 9.09
So, once you get 1/9 and 1/11 . Therefore you get
1/22 : 4.545 [ forty five forty five]
1/18 : 5.56
Now, some weird, but easy to learn patterns :
1/13 : 7.69 [ 13 square =169 ; just replace the one by seven ]
Hence ; 1/26 : 3.84
1/28 : 3.56 [ 28x2=56 ]
1/27 : 3.7 [ twenty seven is thirty seven ]
The last few :
1/17 : 5.88
1/19 : 5.26
1/21 : 4.76
1/23 : 4.34
1/29 : 3.44
You can make your combinations too. Post a comment here, if you come up with something.
Just have a look at these fractions for 2 or 3 times a day, and in a week, you'll remember them all. This surely will save you lot of time in the CAT .
Beginning with fractions from 1/1 to 1/30 :
Till 1/1 to 1/5, its easy. You probably have these on your tips already.
For convenience purposes, ill deal the fractions as percentages. [ The actual fraction is the answer divided by 100]
1/1 : 100
1/2 : 50
1/3 : 33.33
1/4 : 25
1/5 : 20
Now let's begin the tough ones. Ill try to make you understand the patterns here :
1/6 : 16.67 and 1/15 : 6.67 [ Got it? ]
1/7 : 14.2856 [ 7x2=14 ; 7x4=28 ; 7x8=56 ]
TIP : The fractions of the multiples of a number can be calculated by just dividing the source fraction by the multiplication factor .
Eg. : 1/2 : 50 ; 1/4 : 25 ; 1/8 : 12.5 ;
So, by this way, we get the following fractions :
1/8 : 12.5
1/10 : 10
1/12 : 8.33 [ 1/6 =16.67 remember??]
1/14 : 7.14
1/16 : 6.25
1/20 : 5
1/24 : 4.16
1/25 : 4
1/30 : 3.33
Now, something goes in pairs :
1/9 : 11.11
AND
1/11 : 9.09
So, once you get 1/9 and 1/11 . Therefore you get
1/22 : 4.545 [ forty five forty five]
1/18 : 5.56
Now, some weird, but easy to learn patterns :
1/13 : 7.69 [ 13 square =169 ; just replace the one by seven ]
Hence ; 1/26 : 3.84
1/28 : 3.56 [ 28x2=56 ]
1/27 : 3.7 [ twenty seven is thirty seven ]
The last few :
1/17 : 5.88
1/19 : 5.26
1/21 : 4.76
1/23 : 4.34
1/29 : 3.44
You can make your combinations too. Post a comment here, if you come up with something.
Just have a look at these fractions for 2 or 3 times a day, and in a week, you'll remember them all. This surely will save you lot of time in the CAT .
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