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Date Submitted: 01/24/2016 10:42 PM
50 Keys To CAT
Arithmetic, Algebra, Geometry and
Modern Mathematics
A collection of 50 very important formulae
for Quantitative Ability Section of CAT from
the pioneers of online CAT training
▪ EASY ▪ EFFECTIVE ▪ PERSONALISED
1. Averages
2. Mean
For two numbers a and b,
3. Percentage Change
For two successive changes of a% and b%,
4. Interest
Amount = Principal + Interest
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5. Population Formula
[Here, P = Original population, P’ = population after n years, r% = rate of annual change]
6. Depreciation Formula
[Here, P = original value, P’ = final value after n years, r% = rate of annual depreciation]
7. Growth
Absolute Growth = Final Value – Initial Value
[Here, S. A. G. R. = Simple Annual Growth Rate, A. A. G. R. = Average Annual Growth Rate
and C. A. G. R. = Compound Annual Growth Rate]
8. Profit and Loss
Profit = SP − CP
Loss = CP − SP
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9. False Weights
If an item is claimed to be sold at cost price, using false weights, then the overall percentage
profit is given by
10.
Discount
Discount = Marked Price − Selling Price
Buy x and Get y Free
If articles worth Rs. x are bought and articles worth Rs. y are obtained free along with x
articles, then the discount is equal to y and discount percentage is given by
Successive Discounts
When a discount of a% is followed by another discount of b%, then
11.
Ratios
If a : b = c : d, then a : b = c : d = (a + c) : (b + d)
If a < b, then for a positive quantity x,
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If a > b, then for a positive quantity x,
12.
Proportions
13.
Successive Replacement
Where x is the original quantity, y is the quantity that is replaced and n is the number of
times the replacement process is carried out.
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