Saturday 30 August 2014

PERCENTAGE PROFIT - 2



A man got a profit of 3000/= after selling an item. Find the buying price if the percentage profit was 10%.

Solution

%’ge profit = Profit   X  100    where B. P. represents Buying Price.
                         B.P

10% = 3000   X  100   
              B.P.

B.P. x 10 = 300,000   
         
B.P. x  101 =   300,000    
  110                   10

B.P. = 30,000
                      
Hence Buying Price was 30,000/=

TRY THIS………………….
A man got a profit of 4000/= after selling an item. Find the buying price if the percentage profit was 30%.

TRANSPOSITION OF FORMULAE - 2



If M = u(b + a)    make a the subject of the formula.
             (b – a)

Solution


M = u(b + a)   
          (b – a)

(b – a) x M = u(b + a) x (b – a)   multiply by(b-a) on both sides.
                         (b – a)

(b – a) x M = u(b + a) open the brackets on both sides.

Mb – Ma = ub + ua

Mb – ub = Ma + ua   (collect the terms containing a together)

Mb – ub = a(M + u)

Mb – ub = a(M + u) 1               Divide by (M + u) on both sides.
(M + u)         (M + u) 1

Mb – ub = a
(M + u)        

Hence  a =   Mb – ub
                      (M + u)   

   TRY THIS………………….

 If M = u(c + e)    make e the subject of the formula.
               (c – e)

Friday 29 August 2014

PERCENTAGE PROFIT - 1



A man got a profit of 200/= after selling an item for 2000/=. Find the percentage profit.

Solution

%’ge profit = Profit   X  100    where B. P. represents Buying Price.
                        B.P

%’ge profit = 200   X  100   
                     2000

%’ge profit = 10%   
                       
Hence Percentage Profit is 10%

TRY THIS………………….

A man got a profit of 200/= after selling an item for 4000/=. Find the percentage profit.

CONGRUENCE - 2



Prove that  DEH GHW.


solution

Given: figure DEHGW .      
Required to prove: DEH GHW

Proof: EH = HW (given)

            DH = HG (given)

          <EHD = <WHG (opposite angles)

Hence DEH GHW by SAS rule (proved)







RADIAN TO DEGREES - 1



Change /4 radians into degrees.

Solution

Ө = 1800 x s                but s = /4
      

Ө = 1800  x                
            4

Ө =  45180  x   1             
          1    41

Hence /9 radian is equal to 450.

TRY THIS………………….

Change /6 radians into degrees.