Tips and Ticks Average calculation


Tips and Ticks Average calculation

N = the number of terms 

S = the sum of the numbers in the set.

Average = S/N


For example

The marks of a student in five subjects are 96, 94, 92, 87, and 81, then what is the average score of the student?

N = 5

S = 96 + 94 + 92 + 87 + 81 = 450

A = 450/5 = 90.


Another type questions

1). There are 36 boys and 44 girls in a class. The average score of boys is 40 and girls are 35. Then what will be the average mark?


Total mark of 36 boys = 36 x 40 = 1440

Total mark of 44 girls = 35 x 44 = 1540

Total mark of 80 Students = 1440 + 1540 = 2980 

Average mark of the class = (2980 / 80)

                                          = 37.25


2). The average weight of 15 members in a football team is 24 kg when a new member included, the average weight increases by 2. What is the weight of the new member?


Total weight of 15 member = 24 x 15 = 360 

Average after including a new member = 24 + 2 = 26 

Total weight of 16 member = 26 x 16 = 416 

Weight of the new member = Total weight of 16 member - Total weight of 15 member

    = 416 - 360

    = 56.

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Profit and Loss Formulas and Tips

Profit and loss is the one of major question section in Competitive exams. These formulas will be helpful for your upcoming Exams like PSC, SSC, IBPS and Other Competitive Exams. .


Cost Price(CP) : The Price at which a particular item purchased, is called its Cost Price.
Selling Price (SP): The price at which a particular item is sold, called its Selling Price.
Profit: If Selling Price of an item is more than Cost Price , then vendor is said to have a Profit.
Loss: if Selling Price of an item is less than Cost Price, the vendor said to have a Loss.


Formulas Profit = SP – CP.
Profit % = Profit/(CP)×100.
SP = ((100+Profit% )/100)×CP.
CP = (100/(100+Profit%))×SP.


Loss = CP – SP.
Loss% = Loss/(CP)×100.
SP = ((100-loss%)/100)×CP.
CP = (100/(100-loss%))×SP.


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Combinations and Permutations

Permutation and combination related questions are common in PSC and Bank exams.

Before going to Combinations and Permutations, first lean about factorial. .

If  n  is a positive integer then, factorial of n is denoted as n! . .


4! = (1 x 2 x 3 x 4 ) = 24.


Permutations are for lists of items, whose order matters and combinations are for group of items where order doesn’t matter. in other words, .

When the order of items doesn\\\'t matter, it is called as Combination.
When the order of items does matter it is called as Permutation.


The number of permutations of n objects taken r at a time is determined by using this formula:.

C(n,r)=n!/((n−r)!r!) .

Combination : Picking a team of 3 people from a football coaching group of 10. C(10,3) = 10!(3!(10−3)!) = 120. ....

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ഗണിത സൂത്രവാക്യം

ആദ്യത്തെ \'n\' എണ്ണൽ സംഖ്യകളുടെ തുക = n(n+1) /2.
ആദ്യത്തെ \'n\' ഒറ്റ സംഖ്യകളുടെ തുക = n².
ആദ്യത്തെ \'n\' ഇരട്ട സംഖ്യകളുടെ തുക = n(n+1).
ആദ്യത്തെ \'n\' എണ്ണൽ സംഖ്യകളുടെ വർഗ്ഗങ്ങളുടെ തുക = n(n+1)(2n+1) / 6.
ആദ്യത്തെ \'n\' എണ്ണൽ സംഖ്യകളുടെ ക്യൂബുകളുടെ തുക = [n(n+1)/ 2]².
ആദ്യ പദം \'a\', പൊതു വ്യത്യാസം \'d\' ആയാൽ n-മത്തെ പദം കാണാൻ = a+ (n -1) d.
ആദ്യ പദം \'a\', പൊതു വ്യത്യാസം \'d\' ആയാൽ, n പദങ്ങളുടെ തുക കാണാൻ = n/2[2a + (n - 1)d].
ആദ്യ പദവും (t1), n...

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