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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$both \: cp \: = 16000$

$less \: amount \: = 8000 \times 4\%$

$on \: VCR \: = \frac{8000 \times 4}{100} = 320$

$sp \: of \: VCR \: \: rs. = cp - less$

$= 8000 - 320 = 7680$

$profit \: amount \: = 8000 \times 8 \: on \: tv$

$sp \: of \: tv = cp + profit$

$8000 + 640$

$= 8640$

$sp \: of \: both \: = 1680 + 8640$

$= 16320$

$sp > cp$

$profit \: occurs = 16320 + 16000$

$= 320$

$profit = \frac{320 \times 100}{16000} = 2\%$

$= 2\%$


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Answer 2

Step-by-step explanation:

Formulas used :-

1) Loss or Profit = Loss or Profit/100 × CP

2) SP = CP-Loss

3) SP = CP+Profit

4) Profit = SP - CP.

Solution:-

Refer to the image first ...............

In words :

Given,

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.

To find:-

Find the gain or loss percent on the whole transaction.

Solution:

Total cost price (CP) of both VCR and TV = Cost price of VCR + Cost Price of TV = ₹8000+₹8000 = ₹16,000.

VCR:-

CP of VCR = ₹8,000

Loss = 4%

SP = ?

Loss = Loss/100 × CP = ₹320

SP of VCR = CP - Loss = ₹8000-₹320 = ₹7680

TV :-

CP of TV = ₹8000

Profit = 8%

SP = ?

Profit = Profit/100 × SP = ₹640

SP of TV = CP+Profit = ₹8640

Now,

Total SP = 8640+7680 = ₹16320

Hence, Total SP is greater than CP

It's a profit

=> 16320-16000 = Profit

=> ₹320 = Profit

Profit% = Profit/CP × 100 = 320/16000 × 100 = 2%.

Therefore, the profit percentage is 2%.