"Question 5 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.
Class 8 Comparing Quantities Page 125"
Answers
The price at which a buyer purchases an article is called the cost price (CP)
of the article for the buyer.
The price at which a seller sells an article is called the selling price (SP) of the article for the seller
When the selling price is more than the cost price of an article then there is a profit or gain.
S.P>C.P
Profit= S.P – C.P
Profit%= (profit/C.P)×100
Profit and loss are calculated on a certain percent of the C.P.
========================================================
Solution:
Given:
Cost price(CP) of each article=₹8000
Profit of 8% on TV
Loss of 4% on VCR
C.P of TV= ₹8000
Profit on TV = Cost price × profit %
Profit on TV = 8%of 8000
=8000 ×(8/100)
=80×8
= ₹640
C.P of VCR= ₹8000
Loss on
VCR = Cost price × Loss %
Loss on VCR= 4% of 8000
=8000 ×(4/100)
=80× 4
= ₹320
Since profit
is more than loss,
Hence, the shopkeeper gains net profit
Net Profit= 640 -320= 320
Now
Total cost Price of both article= 8000+ 8000
=₹16000
Profit%= (profit/C.P)×100
Profit %=
(320/16000) ×100
Profit % = 32/16
Profit %=2%
Hence, the gain in the whole transaction = 2%.
==========================================================
Hope this will help you...
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%.
