5. A VCR and TV were bought for ₹ 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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Answers
Answer:
Profit =2%
Given:
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
=8000×
100
8
=80×8
=Rs. 640
Cost Price of VCR =Rs. 8000
Loss on VCR = Cost price × Loss %
Loss on VCR=4% of 8000
=8000×
100
4
=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(%)=
C.P
profit
×100
Profit (%)=
16000
320
×100
Profit(%)=
16
32
Profit(%)=2%
Hence, the gain in the whole transaction =2%.
Cost price of VCR = Rs.8000 and Cost price of TV = Rs.8000
Total Cost Price of both articles
= Rs.8000 + Rs.8000 = Rs. 16,000
Now VCR is sold at 4% loss.
Let C.P. of each article be Rs.100, 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. = 96/100
∴ When C.P. is Rs.8000, then S.P.
= 96/100 ×8000 = Rs.7,680
And 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. = 108/100
∴ When C.P. is Rs.8000, then S.P.
= 108/100 × 8000 = Rs.8,640
Then, Total S.P.
= Rs.7,680 + Rs.8,640 = Rs. 16,320
Since S.P. >C.P.,
Therefore Profit = S.P. – C.P.
= 16320 – 16000 = Rs.320
And Profit% = Profit/ cost price × 100
= 320/16000 × 100 = 2%
Therefore,the shopkeeper had a gain of 2% on the whole transaction.