Question

A VCR and TV were bought for rs 8,000 each . The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV . find the gain or loss percent on the whole transaction.

Answer 1

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A VCR and TV were bought for rs 8,000 each . The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV . find the gain or loss percent on the whole transaction.

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↝ Cost price of VCR = rs 8000

↝Cost price of TV = rs 8000

⠀

★ Let the C.P of each article be rs 100

⠀

• Now VCR is sold at 4% loss

Then S.P of VCR = 100 - 4 = rs 96

⠀

↝When C.P is rs 100 , Then S.P = rs 96

↝When C.P is rs 1 , Then S.P = rs $\tt\dfrac{rs 96 }{100}$

↝When C.P is rs 8000 , Then S.P =

$\tt\dfrac{96}{100} \times 8000 = rs7680$

⠀

• Now TV is sold at 8% profit

Then S.P of TV = 100 + 8 = rs 108

⠀

↝When C.P is rs 100 , Then S.P = rs 108

↝When C.P is rs 1 , Then S.P =rs $\tt\dfrac{rs 108 }{100}$

↝When C.P is rs 8000 , Then S.P =

$\tt\dfrac{108}{100} \times 8000 = rs 8640$

⠀

Then, total S.P = 7680 + 8640 = rs 16320

⠀

Since S.P > C.P , so it is a profit

⠀

Therefore profit = S.P - C.P

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 16320 - 16000 = rs 320

⠀

Profit % = $\tt( \dfrac{profit}{cost \: price} ) \times 100$

⠀⠀⠀⠀⠀= $\tt( \dfrac{320}{16000} ) \times 100$ = 2%

Answer 2

\huge\rm\red { ☆_!! Question !_! ☆}☆

!

!Question!

!

☆

A VCR and TV were bought for rs 8,000 each . The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV . find the gain or loss percent on the whole transaction.

\huge\rm\blue { ☆_!! Answer !_! ☆}☆

!

!Answer!

!

☆

↝ Cost price of VCR = rs 8000

↝Cost price of TV = rs 8000

⠀

★ Let the C.P of each article be rs 100

⠀

• Now VCR is sold at 4% loss

Then S.P of VCR = 100 - 4 = rs 96

⠀

↝When C.P is rs 100 , Then S.P = rs 96

↝When C.P is rs 1 , Then S.P = rs \tt\dfrac{rs 96 }{100}

100

rs96

↝When C.P is rs 8000 , Then S.P =

\tt\dfrac{96}{100} \times 8000 = rs7680

100

96

×8000=rs7680

⠀

• Now TV is sold at 8% profit

Then S.P of TV = 100 + 8 = rs 108

⠀

↝When C.P is rs 100 , Then S.P = rs 108

↝When C.P is rs 1 , Then S.P =rs \tt\dfrac{rs 108 }{100}

100

rs108

↝When C.P is rs 8000 , Then S.P =

\tt\dfrac{108}{100} \times 8000 = rs 8640

100

108

×8000=rs8640

⠀

Then, total S.P = 7680 + 8640 = rs 16320

⠀

Since S.P > C.P , so it is a profit

⠀

Therefore profit = S.P - C.P

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 16320 - 16000 = rs 320

⠀

Profit % = \tt( \dfrac{profit}{cost \: price} ) \times 100(

costprice

profit

)×100

⠀⠀⠀⠀⠀= \tt( \dfrac{320}{16000} ) \times 100(

16000

320

)×100 = 2%