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)

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)

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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.

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Change ^∏/6 radians into degrees.