Question

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.

Answer 1

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
Given that VCR is sold at 4% loss,
Let C.P. of each article be Rs 100,
then S.P. of VCR = 100 - 4 = Rs 96
$\because$ When C.P. is Rs 100, then S.P. = Rs 96
$\therefore$ When C.P is Rs 1 then S.P = $\frac{96}{10}$
$\therefore$ When C.P of VCR is Rs 8000,
then S.P =$\frac{96}{10}\times 8000=Rs.7,680$

And TV is sold at 8% profit, then S.P of TV = 100+8 = Rs.108
$\because$ When C.P is Rs 100, then S.P = Rs.108
$\therefore$ When C.P is Rs 1,
then S.P = $\frac{108}{100}\times 8000=Rs.8,640$
Then, Total S.P = Rs 7,680 + Rs 8640 = Rs 16,320
Since S.P > C.P.
Therefore Profit = S.P - C.P = 16320 - 16000 = Rs 320
And Profit % = $\frac{Profit}{CostPrice}\times 100=\frac{320}{16000}\times 100=2\%$