A VCR and TV were bought for rs 8000 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.
Answers
- VCR and TV are bought for ₹8000
- Loss on VCR = 4%
- Profit on TV = 8%
- The profit or loss on the whole transaction.
Cost price(CP) of each article=Rs. 8000
Profit of 8% on TV
Loss of 4% on VCR
Cost price of TV =Rs. 8000
Profit on TV = Cost price × profit %
Profit on TV =8% of 8000
=
=80×8
=Rs. 640
Cost Price of VCR =Rs. 8000
Loss on VCR = Cost price × Loss %
Loss on VCR=4% of 8000
=
=80×4
=Rs. 320
Since profit is more than loss,
Hence, the shopkeeper gains net profit
Net Profit=640−320=Rs. 320
Now,
Total cost Price of both article=8000+8000=Rs. 16000
Profit(%)=
Profit (%)=
Profit(%)=
Profit(%)=2%
Hence, the gain in the whole transaction =2%.
Answer:
Formulas used :-
1) Loss or Profit = Loss or Profit/100 × CP
) Loss or Profit = Loss or Profit/100 × CP2) SP = CP-Loss
) Loss or Profit = Loss or Profit/100 × CP2) SP = CP-Loss3) SP = CP+Profit
) Loss or Profit = Loss or Profit/100 × CP2) SP = CP-Loss3) SP = CP+Profit4) 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%
