FPSC PPSC NTS Mathematics Important MCQs Related Proportions| Direct Proportion Most Repeated Exam Questions| inverse Proportion

 FPSC PPSC NTS Mathematics Important MCQs Related  Direct Proportions| Direct Proportion Most Repeated Exam

 Questions

Direct Proportion:

Simply we say that the direct equality of two ratio is called Proportion.

let say : If a, b, c, d are in proportion then mathematically it can be written as 

   

                    a:b::c:d

                

           =>    a/b=c/d

Example: If the price of 12 eggs is 96. How many eggs can be bought with Rs. 80.

 

                so we write as:

                96/80=12/x     ----> here we should write as (price : Eggs) 

                                                Similarly, greater should be above such like in example, we wrote 96 at nominator and 80 at denominator , and 12 at nominator and x at denominator.

then we let get Cross Multiplication

               => x= (12*80)/96

               => x= 10 Ans

Inverse Proportion:

Where one quantity decreases while other increases and vice versa.

Example: If 10 men have ration for 20 days in camp. If 7 men in this camp the ration with same quantity remains for how many days.

So as above example, we have.

                  

                            men   days

                            10       21

                             7         x                            

    

                    so have we have inverse proportion , then 10 decrease to 7, while 21 increase to x

                           10/7=x/21    by Cross multiplication........

So simplifing

=> x=30Ans 

Composite Proportion:

Example: 

If  34 labor sdig 805 cubic m. in 6 hours, how much of earth will 30 lbrs dig in 6 hrs.

 So simply as 

then  35/30*805/x = 805/x

     => (30/35)*(6/5) = (x/805)

    => 36/3 = x/805

or => x =828 Ans

logarithm rules and examples| logarithm properties |5 properties of logarithms